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Journal articles on the topic 'Phenomenon of stochastic resonance'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Anishchenko, Vadim, and Aleksander Neiman. "Stochastic resonance and stochastic synchronization." Izvestiya VUZ. Applied Nonlinear Dynamics 5, no. 1 (1997): 5–14. http://dx.doi.org/10.18500/0869-6632-1997-5-1-5-14.

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The fundamental phenomenon of synchronization occurs in non-lirear self—sustained oscillators subjecled to а periodic force or coupled with each other. This phenomenon manifests itself in locking or suppressing of the natural frequency of the oscillator by periodic force. In this paper we discuss surprising synchronization like phenomena in stochastic bistable systems which have no natural frequency at all. A stochastic bistable system possesses а noise—controlled mean switching frequeicy between metastable states being ап analogy of the natural frequency. The stochastic synchronization reveal

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2

SOROKIN, VLADISLAV, and ILIYA BLEKHMAN. "On the stochastic resonance phenomenon in parametrically excited systems." European Journal of Applied Mathematics 30, no. 5 (2018): 986–1003. http://dx.doi.org/10.1017/s0956792518000608.

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The stochastic resonance phenomenon implies “positive” changing of a system behaviour when noise is added to the system. The phenomenon has found numerous applications in physics, neuroscience, biology, medicine, mechanics and other fields. The present paper concerns this phenomenon for parametrically excited stochastic systems, i.e. systems that feature deterministic input signals that affect their parameters, e.g. stiffness, damping or mass properties. Parametrically excited systems are now widely used for signal sensing, filtering and amplification, particularly in micro- and nanoscale appl

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3

Yang, Xiao Li, and Xiao Qiang Liu. "How electromagnetic induction and coupled delay affect stochastic resonance in a modified neuronal network subject to phase noise." International Journal of Modern Physics B 33, no. 26 (2019): 1950302. http://dx.doi.org/10.1142/s0217979219503028.

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Through introducing the ingredients of electromagnetic induction and coupled time delay into the original Fitzhugh–Nagumo (FHN) neuronal network, the dynamics of stochastic resonance in a model of modified FHN neuronal network in the environment of phase noise is explored by numerical simulations in this study. On one hand, we demonstrate that the phenomenon of stochastic resonance can appear when the intensity of phase noise is appropriately adjusted, which is further verified to be robust to the edge-added probability of small-world network. Moreover, under the influence of electromagnetic i

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4

Kittel, A., R. Richter, M. Hirsch, G. Flätgen, J. Peinke, and J. Parisi. "Stochastic Resonance in Experiment." Zeitschrift für Naturforschung A 48, no. 5-6 (1993): 633–35. http://dx.doi.org/10.1515/zna-1993-5-606.

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Abstract We observe the phenomenon of stochastic resonance in a semiconductor experiment. Originally, such an effect was predicted for bistable dynamical systems that are influenced by a periodic modulation as well as a random perturbation. In that case, a "resonance" peak can be observed in the power spectrum. The phenomenon investigated is the low-temperature impact ionization breakdown. There, bistability results from the competing states of low and high conductance.

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5

Zhou, Deng Rong, Jian Chun Gong, and Fang Ling Fan. "A Stochastic Resonance Phenomenon in Linear Models." Applied Mechanics and Materials 401-403 (September 2013): 1301–4. http://dx.doi.org/10.4028/www.scientific.net/amm.401-403.1301.

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When there exist certain kinds of matching in an electric system between the nonlinear input and noise, amplifying the input noise may dramatically increase the output SNR other than decrease it. And stochastic resonance is a phenomenon that when noise is input at certain amplitude the output SNR reaches its peak. Generalized stochastic resonance is the kind of nonlinear phenomena that the output (output SNR, output mean value, etc.) is a non-monotonic function of some parameter of noise (amplitude, correlation time) or input (amplitude, frequency). We studied the phenomenon of stochastic reso

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6

ANISHCHENKO, V. S., M. A. SAFONOVA, and L. O. CHUA. "STOCHASTIC RESONANCE IN CHUA’S CIRCUIT." International Journal of Bifurcation and Chaos 02, no. 02 (1992): 397–401. http://dx.doi.org/10.1142/s0218127492000379.

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In this paper, we report numerical observations of the stochastic resonance (SR) phenomenon in a bistable chaotic electronic circuit (namely, Chua’s circuit) driven simultaneously by noise and a sinusoidal signal. It is shown that the noise-induced “chaos-chaos” type intermittency is a physical mechanism of the SR-phenomenon in chaotic systems. The resulting amplification of the sinusoidal signal intensity is due to a coherent interaction of three characteristic frequencies of the system. The SR-phenomenon can be controlled by a variation of either the noise intensity or the system parameters

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7

Tsindlekht, M. I., I. Felner, M. Gitterman, and B. Ya Shapiro. "Stochastic resonance phenomenon in single-crystal Nb." Physica C: Superconductivity 341-348 (November 2000): 1191–92. http://dx.doi.org/10.1016/s0921-4534(00)00854-6.

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8

Lanfranco, Sebastian, Lucas Horacio Mazzini, Alfredo Eduardo Dominguez, and Jorge Luis Naguil. "Watermark Detector Based on Stochastic Resonance Phenomenon." IEEE Latin America Transactions 11, no. 1 (2013): 396–401. http://dx.doi.org/10.1109/tla.2013.6502836.

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9

Fallon, James B., and David L. Morgan. "Fully Tuneable Stochastic Resonance in Cutaneous Receptors." Journal of Neurophysiology 94, no. 2 (2005): 928–33. http://dx.doi.org/10.1152/jn.00232.2005.

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Stochastic resonance describes a phenomenon whereby the addition of “noise” to the input of a nonlinear system can improve sensitivity. “Fully tuneable stochastic resonance” is a particular form of the phenomenon that requires the matching of two time scales: one being that of the subthreshold periodic stimulus of the system and the other being the noise-induced response of the system. First proposed in 1981, stochastic resonance has been reported in a wide range of biological systems; however, conclusive experimental evidence for fully tuneable stochastic resonance in biological systems is li

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10

Yang, Shan, Zening Fan, and Ruibin Ren. "The Stochastic Resonance Phenomenon of Different Noises in Underdamped Bistable System." Advances in Mathematical Physics 2021 (February 10, 2021): 1–9. http://dx.doi.org/10.1155/2021/4614919.

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In this paper, the stochastic resonance (SR) phenomenon of four kinds of noises (the white noise, the harmonic noise, the asymmetric dichotomous noise, and the Lévy noise) in underdamped bistable systems is studied. By applying theory of stochastic differential equations to the numerical simulation of stochastic resonance problem, we simulate and analyze the system responses and pay close attention to stochastic control in the proposed systems. Then, the factors of influence to the SR are investigated by the Euler-Maruyama algorithm, Milstein algorithm, and fourth-order Runge-Kutta algorithm,

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11

MOSS, FRANK, DAVID PIERSON, and DAVID O’GORMAN. "STOCHASTIC RESONANCE: TUTORIAL AND UPDATE." International Journal of Bifurcation and Chaos 04, no. 06 (1994): 1383–97. http://dx.doi.org/10.1142/s0218127494001118.

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Stochastic resonance is by now a well studied phenomenon whereby certain nonlinear systems, subject to weak input signals, have the property that the presentation of stochastic forcing, or “noise,” can enhance the coherence of the output. Since its introduction in 1981, this curious phenomenon has been the object of much study, yet a number of questions remain. In addition to offering an update to recent reviews, we hope here to set the stage with a brief tutorial, raise some questions and then to offer a speculative look towards the future.

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12

Sun, Shuqin, Xin Qi, Zhenghai Yuan, Xiaojun Tang, and Zaihua Li. "Power System Signal-Detection Method Based on the Accelerated Unsaturated Stochastic Resonance Principle." Applied Sciences 14, no. 10 (2024): 4284. http://dx.doi.org/10.3390/app14104284.

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The classical bistable stochastic resonance algorithm has an inherent output saturation defect that restricts the amplitude of the output signal. This paper examines the causes of this phenomenon and its negative impact on the detection of weak signals. Proposing the Unsaturated Bistable Stochastic Resonance (UBSR) detection algorithm involves constructing a segmented potential function using a linear function to eliminate the effect of higher-order terms in the classical stochastic resonance algorithm. A new type of segmented potential function has been created by combining exponential and li

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13

Sorokin, V., and I. Demidov. "On representing noise by deterministic excitations for interpreting the stochastic resonance phenomenon." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379, no. 2192 (2021): 20200229. http://dx.doi.org/10.1098/rsta.2020.0229.

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Adding noise to a system can ‘improve’ its dynamic behaviour, for example, it can increase its response or signal-to-noise ratio. The corresponding phenomenon, called stochastic resonance, has found numerous applications in physics, neuroscience, biology, medicine and mechanics. Replacing stochastic excitations with high-frequency ones was shown to be a viable approach to analysing several linear and nonlinear dynamic systems. For these systems, the influence of the stochastic and high-frequency excitations appears to be qualitatively similar. The present paper concerns the discussion of the a

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14

Anishchenko, Vadim, Dmitrij Postnov, Igor Khovanov, and Boris Shulgin. "Stochastic resonance in a bistable electronic circuits." Izvestiya VUZ. Applied Nonlinear Dynamics 3, no. 5 (1995): 16–25. https://doi.org/10.18500/0869-6632-1995-3-5-16-25.

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The phenomenon of stochastic, resonance in a bistable radiotechnical system isstudied by means of numerical stimulation and full-scale experiments. The amplification factor and signal-to-noise ratio are analyzed depending on external noise intensity and periodic signal parameters. The results of experiments are compared in detail with theoretical computation. It has been shown that simple proposed electronic circuit of bistable over damped oscillator can serve as a basic dynamical model for exploration of stochastic resonance phenomenon.

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15

Wadop Ngouongo, Y. J., M. Djolieu Funaye, G. Djuidjé Kenmoé, and T. C. Kofané. "Stochastic resonance in deformable potential with time-delayed feedback." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379, no. 2192 (2021): 20200234. http://dx.doi.org/10.1098/rsta.2020.0234.

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This paper reports the stochastic resonance (SR) phenomenon with memory effects for a Brownian particle in a potential whose shape is subjected to deformation. We model the deformation in the system by the Remoissenet–Peyrard potential and the memory effects by the time-delayed feedback. The question of the possible influence of time-delayed feedback on the occurrence of SR is then of our interest. We examine numerically the effect of feedback strength as well as time delay on SR phenomenon in terms of hysteresis loop area. It is found that time-delayed feedback has a significant effect on SR

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16

Li, Tao, Kaijun Wu, Mingjun Yan, Zhengnan Liu, and Huan Zheng. "Stochastic dynamic behavior of FitzHugh–Nagumo neurons stimulated by white noise." International Journal of Modern Physics B 35, no. 10 (2021): 2150137. http://dx.doi.org/10.1142/s021797922150137x.

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Stochastic noise exists widely in the nervous system, and noise plays an extremely important role in the information processing of the nervous system. Noise can enhance the ability of neurons to process information as well as decrease it. For the dynamic behavior of stochastic resonance and coherent resonance shown by neurons under the action of stochastic noise, this paper uses Fourier coefficient and coherence resonance coefficient to measure the behavior of stochastic resonance and coherence resonance, respectively, and some conclusions are drawn by analyzing the effects of additive noise a

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17

Dykman, Mark, Dmitrii Luchinsky, Riccardo Mannella, Peter McClintock, Norman Stein, and Nigel Stocks. "Stochastic resonance and its provenance." Izvestiya VUZ. Applied Nonlinear Dynamics 3, no. 3 (1995): 56–69. https://doi.org/10.18500/0869-6632-1995-3-3-56-69.

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Stochastic resonance, in which the signal and/or signal/noise ratio in а nonlinear system can be enhanced by the addition of random fluctuations (noise) of appropriate intensity, is discussed. By revealing the relationship of stochastic resonance to earlier research, and especially to work by Debye in the 1920s, the phenomenon is set in а broad physical context. It is shown that the traditional techniques of statistical physics, for example linear response theory, are applicable to stochastic resonance and their implications for its range of occurrence are discussed.

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18

Vincent, U. E., P. V. E. McClintock, I. A. Khovanov, and S. Rajasekar. "Vibrational and stochastic resonances in driven nonlinear systems." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379, no. 2192 (2021): 20200226. http://dx.doi.org/10.1098/rsta.2020.0226.

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Nonlinear systems are abundant in nature. Their dynamics have been investigated very extensively, motivated partly by their multidisciplinary applicability, ranging from all branches of physical and mathematical sciences through engineering to the life sciences and medicine. When driven by external forces, nonlinear systems can exhibit a plethora of interesting and important properties—one of the most prominent being that of resonance. In the presence of a second, higher frequency, driving force, whether stochastic or deterministic/periodic, a resonance phenomenon arises that can generally be

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19

HERRMANN, SAMUEL, and PETER IMKELLER. "BARRIER CROSSINGS CHARACTERIZE STOCHASTIC RESONANCE." Stochastics and Dynamics 02, no. 03 (2002): 413–36. http://dx.doi.org/10.1142/s0219493702000509.

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In a two-state Markov chain with time periodic dynamics, we study path properties such as the sojourn time in one state between two consecutive jumps or the distribution of the first jump. This is done in order to exhibit a resonance interval and an optimal tuning rate interpreting the phenomenon of stochastic resonance through quality notions related with interspike intervals. We consider two cases representing the reduced dynamics of particles diffusing in time periodic potentials: Markov chains with piecewise constant periodic infinitesimal generators and Markov chains with time-continuous

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20

Xu, Peng-Fei, Xu-Lu Gong, Yi-Wei Li, and Yan-Fei Jin. "Stochastic resonance in periodic potential system with memory damping function." Acta Physica Sinica 71, no. 8 (2022): 080501. http://dx.doi.org/10.7498/aps.71.20211732.

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The stochastic dynamical system with memory effects describes a non-Markovian process that can happen in some complex systems or disordered media, such as viscoelastic media and living cell. Its velocity yields the memory effects because of the nonlocality in time, giving rise to a generalized Langevin equation for describing the dynamics of the system. In particular, the friction term in generalized Langevin equation is given by the time-dependent memory kernel. Besides, the research of stochastic resonance in periodic potential models emerges as an important subject because such systems have

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21

Guo, Xiao-Ying, and Tai-Qiang Cao. "Phenomenon of double entropic stochastic resonance with recycled noise." Chinese Journal of Physics 77 (June 2022): 721–32. http://dx.doi.org/10.1016/j.cjph.2021.10.020.

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22

Sánchez, Alejandro D., Jorge A. Revelli, and Horacio S. Wio. "Trapping dynamics with gated traps: stochastic resonance-like phenomenon." Physics Letters A 277, no. 6 (2000): 304–9. http://dx.doi.org/10.1016/s0375-9601(00)00724-6.

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23

Blekhman, I. I., and V. S. Sorokin. "On a “deterministic” explanation of the stochastic resonance phenomenon." Nonlinear Dynamics 93, no. 2 (2018): 767–78. http://dx.doi.org/10.1007/s11071-018-4225-y.

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24

He, Guitian, Heng Liu, Guoji Tang, and Jinde Cao. "Resonance behavior for a generalized Mittag-Leffler fractional Langevin equation with hydrodynamic interactions." International Journal of Modern Physics B 34, no. 32 (2020): 2050310. http://dx.doi.org/10.1142/s0217979220503105.

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The phenomenological model for the heavy tracers in viscoelastic media modeled by a generalized Mittag-Leffler fractional Langevin equation with the generalized Stokes force, the Basset force, the Hookean force, and the thermal force has been revisited. Under the fluctuation-dissipation relation, the generalized Stokes force describes the viscoelastic media by a Mittag-Leffler (ML) memory kernel. Furthermore, based on the background of ML function, the generalized Mittag-Leffler fractional derivative is introduced. Moreover, the exact expression of stationary first moment and the expression of

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25

Li, Zhixing, Songjiu Han, Jianguo Wang, Xueping Ren, and Chao Zhang. "Time-Delayed Feedback Tristable Stochastic Resonance Weak Fault Diagnosis Method and Its Application." Shock and Vibration 2019 (June 9, 2019): 1–13. http://dx.doi.org/10.1155/2019/2097164.

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Pulses caused by rotating mechanical faults are weak and often submerged in strong background noise, which can affect the accuracy of fault detection. To solve this problem, we study the stochastic resonance phenomenon of a tristable potential system based on strong noise background and also investigate the influence of time-delayed feedback on this stochastic resonance model. The effects of time-delayed feedback strength on potential energy, steady-state probability density function, and signal-to-noise ratio (SNR) are discussed. The results show that stochastic resonance can be enhanced or s

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26

Suzuki, Yoshiharu, and Naoki Asakawa. "Stochastic Resonance in Organic Electronic Devices." Polymers 14, no. 4 (2022): 747. http://dx.doi.org/10.3390/polym14040747.

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Stochastic Resonance (SR) is a phenomenon in which noise improves the performance of a system. With the addition of noise, a weak input signal to a nonlinear system, which may exceed its threshold, is transformed into an output signal. In the other words, noise-driven signal transfer is achieved. SR has been observed in nonlinear response systems, such as biological and artificial systems, and this review will focus mainly on examples of previous studies of mathematical models and experimental realization of SR using poly(hexylthiophene)-based organic field-effect transistors (OFETs). This phe

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27

Méndez-Balbuena, Ignacio, Nayeli Huidobro, Mayte Silva, et al. "Effect of mechanical tactile noise on amplitude of visual evoked potentials: multisensory stochastic resonance." Journal of Neurophysiology 114, no. 4 (2015): 2132–43. http://dx.doi.org/10.1152/jn.00457.2015.

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The present investigation documents the electrophysiological occurrence of multisensory stochastic resonance in the human visual pathway elicited by tactile noise. We define multisensory stochastic resonance of brain evoked potentials as the phenomenon in which an intermediate level of input noise of one sensory modality enhances the brain evoked response of another sensory modality. Here we examined this phenomenon in visual evoked potentials (VEPs) modulated by the addition of tactile noise. Specifically, we examined whether a particular level of mechanical Gaussian noise applied to the inde

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28

Hänze, Max, Gregory McMurtrie, Susanne Baumann, Luigi Malavolti, Susan N. Coppersmith, and Sebastian Loth. "Quantum stochastic resonance of individual Fe atoms." Science Advances 7, no. 33 (2021): eabg2616. http://dx.doi.org/10.1126/sciadv.abg2616.

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Stochastic resonance, where noise synchronizes a system’s response to an external drive, is a wide-reaching phenomenon found in noisy systems spanning from the dynamics of neurons to the periodicity of ice ages. Quantum tunneling can extend stochastic resonance to the quantum realm. We demonstrate quantum stochastic resonance for magnetic transitions in atoms by inelastic electron tunneling with a scanning tunneling microscope. Stochastic resonance is shown deep in the quantum regime, where spin-state fluctuations are driven by tunneling of the magnetization, and in a semiclassical crossover r

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29

WANG, YOUGUO, and LENAN WU. "STOCHASTIC RESONANCE AND NOISE-ENHANCED FISHER INFORMATION." Fluctuation and Noise Letters 05, no. 03 (2005): L435—L442. http://dx.doi.org/10.1142/s0219477505002860.

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We discuss the signal estimation that can be finished on a signal buried in generalized Gaussian noise based on the quantized version provided by a summing array of threshold devices. In the estimation, the Fisher information contained in the array output about the input signal is investigated. We show that the Fisher information can be improved as the noise intensity increases in the summing array and that a noise with a thinner tail in its distribution can lead to a better improvement, i.e., the fatter tail in the noise distribution may neutralize the beneficial role of noise. These results

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30

FREUND, JAN A., SYLVAIN BARBAY, STEFANO LEPRI, ALESSANDRO ZAVATTA, and GIOVANNI GIACOMELLI. "NOISE-INDUCED PHASE SYNCHRONIZATION: THEORETICAL AND EXPERIMENTAL RESULTS." Fluctuation and Noise Letters 03, no. 02 (2003): L195—L204. http://dx.doi.org/10.1142/s0219477503001269.

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The beneficial role fluctuations can play in the process of phase synchronization is analyzed in terms of a model with binary input and output signals. Special attention is paid to the relation between noise-induced phase synchronization and the well-known phenomenon of stochastic resonance. Analytic predictions are compared with experimental data from a vertical cavity surface emitting laser. Various measures for aperiodic stochastic resonance, frequency entrainment and stochastic phase synchronization reveal a satisfactory agreement between theory and experiment.

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31

Xu, Wei, Mengli Hao, Xudong Gu, and Guidong Yang. "Stochastic resonance induced by Lévy noise in a tumor growth model with periodic treatment." Modern Physics Letters B 28, no. 11 (2014): 1450085. http://dx.doi.org/10.1142/s0217984914500857.

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In this paper, the stochastic resonance phenomenon in a tumor growth model under subthreshold periodic therapy and Lévy noise excitation is investigated. The possible reoccurrence of tumor due to stochastic resonance is discussed. The signal-to-noise ratio (SNR) is calculated numerically to measure the stochastic resonance. It is found that smaller stability index is better for avoiding tumor reappearance. Besides, the effect of the skewness parameter on the tumor regrowth is related to the stability index. Furthermore, increasing the intensity of periodic treatment does not always facilitate

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32

Zhou, Deng Rong, Jian Chun Gong, and Dan Li. "Stochastic Resonance in FitzHugh-Nagumo Neural Model." Applied Mechanics and Materials 415 (September 2013): 298–302. http://dx.doi.org/10.4028/www.scientific.net/amm.415.298.

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Stochastic resonance is a non-linear phenomenon where the output response of the dynamic system reaches the maximum value under the joint action of a certain intensity of noises and external incentives. In this paper, the phenomenon of stochastic resonance in a FitzHugh-Nagumo neural (FHN) model is studied. For the case that the frequency of the HF signal is much higher than that of the LF signal, under the adiabatic approximation condition, the expression of the signal-to-noise ratio (SNR) with respect to the LF signal is obtained. It is shown that, the SNR is a non-monotonous function of the

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33

ZHANG, HUI-QING, WEI XU, CHUN-YAN SUN, and YONG XU. "STOCHASTIC RESONANCE IN A BISTABLE SYSTEM DRIVEN BY WEAK PERIODIC SIGNAL WITH MULTIPLE DELAYS." International Journal of Modern Physics B 25, no. 13 (2011): 1775–83. http://dx.doi.org/10.1142/s0217979211100667.

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The phenomenon of stochastic resonance in a bistable system with multiple delays is investigated. The analytic expression of approximation stationary probability density is obtained by using small delay approximation based on probability density approach. Numerical simulation is performed and it is shown that the analytic results are in good agreement with Monte Carlo simulation. Then the expression of the signal-to-noise (SNR) is derived by using two-state theory. Finally, the effect of multiple delays on SNR is discussed. It is found that the stochastic resonance phenomenon can be suppressed

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IMKELLER, P., and I. PAVLYUKEVICH. "MODEL REDUCTION AND STOCHASTIC RESONANCE." Stochastics and Dynamics 02, no. 04 (2002): 463–506. http://dx.doi.org/10.1142/s0219493702000583.

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We provide a mathematical underpinning of the physically widely known phenomenon of stochastic resonance, i.e. the optimal noise-induced increase of a dynamical system's sensitivity and ability to amplify small periodic signals. The effect was first discovered in energy-balance models designed for a qualitative understanding of global glacial cycles. More recently, stochastic resonance has been rediscovered in more subtle and realistic simulations interpreting paleoclimatic data: the Dansgaard–Oeschger and Heinrich events. The underlying mathematical model is a diffusion in a periodically chan

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35

Kharchenko, Oksana, and Zlatinka Kovacheva. "Frequency modulated signal standing out by stochastic resonance effect." Annual of Sofia University St. Kliment Ohridski. Faculty of Mathematics and Informatics 110 (November 12, 2023): 95–100. http://dx.doi.org/10.60063/gsu.fmi.110.95-100.

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In this paper, the phenomenon which is known as stochastic resonance is considered to the signal processing application. Signal standing out with the presence of noise is considered to be one of the basic problems of telecommunication and radioengineering. The stochastic resonance effect is shown to provide significant improvement of some characteristics of the information signal, such as power gain, and noise dispersion at the system output at a certain optimal noise level. In the present article, Minimum Shift Keying signal mixed with Gaussian white noise has been studied using stochastic re

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Peng, Hao, Rui-Bin Ren, Yang-Fan Zhong, and Tao Yu. "Stochastic resonance of fractional-order coupled system excited by trichotomous noise." Acta Physica Sinica 71, no. 3 (2022): 030502. http://dx.doi.org/10.7498/aps.71.20211272.

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In order to describe the motion behavior of coupled particles with mass fluctuations in a viscous medium, we propose a corresponding model, namely a fractional-order coupled system excited by trichotomous noise. By using the Shapiro-Loginov formula and the Laplace transform, we find the statistical synchronization of the system, then obtain analytical expression of the system output amplitude gain. On this basis, this paper focuses on the key points, which are the coupled system, the fractional order system and the trichotomous noise, analyzes the influences of coupling coefficient, system ord

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Nobukawa, Sou, and Haruhiko Nishimura. "Enhancement of Spike-Timing-Dependent Plasticity in Spiking Neural Systems with Noise." International Journal of Neural Systems 26, no. 05 (2016): 1550040. http://dx.doi.org/10.1142/s0129065715500409.

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Synaptic plasticity is widely recognized to support adaptable information processing in the brain. Spike-timing-dependent plasticity, one subtype of plasticity, can lead to synchronous spike propagation with temporal spiking coding information. Recently, it was reported that in a noisy environment, like the actual brain, the spike-timing-dependent plasticity may be made efficient by the effect of stochastic resonance. In the stochastic resonance, the presence of noise helps a nonlinear system in amplifying a weak (under barrier) signal. However, previous studies have ignored the full variety o

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38

Kang, Yan-Mei, and Xi Chen. "Application of Gaussian moment method to a gene autoregulation model of rational vector field." Modern Physics Letters B 30, no. 20 (2016): 1650264. http://dx.doi.org/10.1142/s021798491650264x.

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We take a lambda expression autoregulation model driven by multiplicative and additive noises as example to extend the Gaussian moment method from nonlinear stochastic systems of polynomial vector field to noisy biochemical systems of rational polynomial vector field. As a direct application of the extended method, we also disclose the phenomenon of stochastic resonance. It is found that the transcription rate can inhibit the stochastic resonant effect, but the degradation rate may enhance the phenomenon. These observations should be helpful in understanding the functional role of noise in gen

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Markina, Anastasia, Alexander Muratov, Vladislav Petrovskyy, and Vladik Avetisov. "Detection of Single Molecules Using Stochastic Resonance of Bistable Oligomers." Nanomaterials 10, no. 12 (2020): 2519. http://dx.doi.org/10.3390/nano10122519.

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Ultra-sensitive elements for nanoscale devices capable of detecting single molecules are in demand for many important applications. It is generally accepted that the inevitable stochastic disturbance of a sensing element by its surroundings will limit detection at the molecular level. However, a phenomenon exists (stochastic resonance) in which the environmental noise acts abnormally: it amplifies, rather than distorts, a weak signal. Stochastic resonance is inherent in non-linear bistable systems with criticality at which the bistability emerges. Our computer simulations have shown that the l

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Kim, Eun-jin, and Rainer Hollerbach. "Information Length as a New Diagnostic of Stochastic Resonance†." Proceedings 46, no. 1 (2019): 10. http://dx.doi.org/10.3390/ecea-5-06667.

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Stochastic resonance is a subtle, yet powerful phenomenon in which noise plays an interesting role of amplifying a signal instead of attenuating it. It has attracted great attention with a vast number of applications in physics, chemistry, biology, etc. Popular measures to study stochastic resonance include signal-to-noise ratios, residence time distributions, and different information theoretic measures. Here, we show that the information length provides a novel method to capture stochastic resonance. The information length measures the total number of statistically different states along the

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MORI, TOSHIO, and SHOICHI KAI. "STOCHASTIC RESONANCE IN ALPHA OSCILLATORS IN THE HUMAN BRAIN." International Journal of Bifurcation and Chaos 12, no. 11 (2002): 2631–39. http://dx.doi.org/10.1142/s0218127402006151.

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We experimentally study stochastic resonance (SR) in the human brain through a noise effect for entrainment dynamics of the alpha (α) wave. The measurement has been carried out under the following conditions in order to obtain clear evidence of the SR phenomenon in the central nervous system. The periodic and noisy stimuli are respectively applied to the right and the left eyes of the subject independently. When only periodic and constant (but weak enough) stimulus is applied to the right eye, it does not induce any global entrainment of α-oscillators to the stimulus frequency. In this situati

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GAMMAITONI, L., M. MARTINELLI, L. PARDI, and S. SANTUCCI. "NOISE INDUCED PHENOMENA IN ELECTRON PARAMAGNETIC RESONANCE SYSTEMS." Modern Physics Letters B 06, no. 04 (1992): 197–201. http://dx.doi.org/10.1142/s0217984992000259.

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Evidence of noise induced effects in electron-paramagnetic-resonance (EPR) experiments is reported. The phenomenon of Stochastic Resonance is presented and discussed as a cooperative effect between the noise and an external periodic driving, due to the bistable character of the EPR system.

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Zhou, Ruo-Wei, Guang-Yan Zhong, Jiang-Cheng Li, Yun-Xian Li, and Feng He. "Stochastic resonance of periodic volatility in financial markets with stock crashes." Modern Physics Letters B 32, no. 24 (2018): 1850290. http://dx.doi.org/10.1142/s0217984918502901.

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We investigate the stochastic resonance of periodic volatility in two financial markets with stock crashes for Dow Jones component stocks and Hang Seng index, based on the modified Heston model with an effective potential to describe the stock crashes. We introduce a cosine term to Heston model and develop a modified Heston model with periodic stochastic volatility for capturing the periodicity of the volatility process or volatility clustering which was observed in historical financial data sets. The proposed model was tested against Dow Jones industrial and Hang Seng index data. The experime

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RICHTER, R., A. KITTEL, K. PYRAGAS, and J. PARISI. "STOCHASTIC RESONANCE AT THE ONSET OF FINITE- AMPLITUDE OSCILLATIONS IN SEMICONDUCTOR BREAKDOWN." Fractals 01, no. 04 (1993): 1068–74. http://dx.doi.org/10.1142/s0218348x93001179.

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The phenomenon of stochastic resonance has been observed when looking at low-temperature impact ionization breakdown in p-type germanium crystals. Originally, such an effect was predicted for the class of bistable nonlinear dynamical systems which are subject to a periodic modulation as well as to random perturbation. We demonstrate first experimental evidence that stochastic resonance can also be detected in a monostable system, i.e., immediately below the onset of finite-amplitude oscillations during semiconductor breakdown.

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Ryashko, Lev. "Analysis of Excitement Caused by Colored Noise in a Thermokinetic Model." Mathematics 11, no. 22 (2023): 4676. http://dx.doi.org/10.3390/math11224676.

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In this paper, a thermokinetic model forced by colored noise is studied. We analyze the mechanisms of stochastic excitement of equilibrium modes under variation of correlation time and noise intensity. It is shown that the phenomenon of colored-noise-induced excitement is accompanied by stochastic P-bifurcations. The region of the correlation parameter in which resonance occurs is localized. To study the phenomenon of colored-noise-induced excitement, we develop the probabilistic analysis based on the confidence domains method.

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POSTNOV, D. E., O. V. SOSNOVTSEVA, S. K. HAN, and T. G. YIM. "STOCHASTIC SYNCHRONIZATION OF COUPLED COHERENCE RESONANCE OSCILLATORS." International Journal of Bifurcation and Chaos 10, no. 11 (2000): 2541–50. http://dx.doi.org/10.1142/s0218127400001705.

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The effect of coherence resonance can change the firing process in noise-driven excitable systems towards rather regular dynamics. This effect provides a mechanism of the generation of stochastic oscillations whose characteristics are controlled by noise intensity. Following this, a noisy excitable system can be considered as a corehence resonance oscillator. For such functional units, we investigate the mutual and forced synchronization in terms of locking of the peak frequencies in the power spectrum and also in terms of phase locking. The connection of synchronization phenomenon of noise-in

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EBELING, WERNER, ALEXEY KARGOVSKY, ALEXEY NETREBKO, and YURI ROMANOVSKY. "FERMI RESONANCE — NEW APPLICATIONS OF AN OLD EFFECT." Fluctuation and Noise Letters 04, no. 01 (2004): L183—L193. http://dx.doi.org/10.1142/s0219477504001823.

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We consider here the effect of Fermi resonance on the rate of stochastic transitions over potential barriers. As a typical phenomenon for Fermi resonance we investigate the fading of the energy between the oscillations in different degrees of freedom. Due to this fading phenomenon we see from time to time rather large amplitudes of oscillations along the reaction path which may support transitions over reaction barriers in the underdamped regime. As as an application we study the influence of Fermi resonance on enzyme reactions. In particular we investigate the possible effect of Fermi resonan

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ANISHCHENKO, V. S., M. A. SAFONOVA, and L. O. CHUA. "STOCHASTIC RESONANCE IN THE NONAUTONOMOUS CHUA'S CIRCUIT." Journal of Circuits, Systems and Computers 03, no. 02 (1993): 553–78. http://dx.doi.org/10.1142/s0218126693000344.

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The dynamics of the nonautonomous Chua's circuit driven by a sinusoidal signal and additive noise is investigated numerically via the "two-state" dynamics method. The possibility of realizing the phenomenon of stochastic resonance (SR) is established. The SR is characterized by an increase in the signal-to-noise ratio (SNR) due to the coherent interaction between the characteristic frequencies of the chaotic bistable Chua's circuit and the modulation frequency of the input. The SNR can be controlled by both external noise and system parameter variations in this circuit. The statistical charact

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Pospíšil, Stanislav, and Jiří Náprstek. "Analysis of Stochastic Resonance Phenomenon in Wind Induced Vibration of a Girder." Applied Mechanics and Materials 617 (August 2014): 285–90. http://dx.doi.org/10.4028/www.scientific.net/amm.617.285.

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We study the response of a dynamic system to additive random noise and external determin- istic periodic force to investigate vibration of a slender prismatic beam in a cross flow with a turbulence component. The aim of the study is to find such parameter combinations, which should be avoided in practice to eliminate response amplitude increase due to the effect of the stochastic resonance. We assume the non-linear oscillator (beam) with one generalized degree of freedom in the divergence-like regime. It is described by the version of the Duffing equation. We conduct the theoretical investigat

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Meng, Yun Liang, Chang Xing Pei, and Dong Wu Li. "Stochastic Resonance in a Complex Nonlinear System Driven by Complex Periodic Signal and Noise." Applied Mechanics and Materials 667 (October 2014): 269–72. http://dx.doi.org/10.4028/www.scientific.net/amm.667.269.

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The phenomenon of stochastic resonance in a complex nonlinear system which is excited by both complex weak periodic signal and noise is investigated in this paper. The model of complex nonlinear system is given, and the effects of the input periodic signal amplitude and the noise intensity on the response amplitude of the system at the periodic signal frequency are discussed through numerical simulations. It is shown that the response amplitude of the system to the input periodic signal displays a non-monotonic dependence on the noise intensity, and the response peaks at a particular value of

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