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Journal articles on the topic 'Oscillatory properties'

Author: Grafiati

Published: 7 June 2025

Last updated: 2 August 2025

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1

Wang, DeLiang L. "On Connectedness: A Solution Based on Oscillatory Correlation." Neural Computation 12, no. 1 (2000): 131–39. http://dx.doi.org/10.1162/089976600300015916.

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A long-standing problem in neural computation has been the problem of connectedness, first identified by Minsky and Papert (1969). This problem served as the cornerstone for them to establish analytically that perceptrons are fundamentally limited in computing geometrical (topological) properties. A solution to this problem is offered by a different class of neural networks: oscillator networks. To solve the problem, the representation of oscillatory correlation is employed, whereby one pattern is represented as a synchronized block of oscillators and different patterns are represented by dist

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2

Wang, DeLiang, and David Terman. "Image Segmentation Based on Oscillatory Correlation." Neural Computation 9, no. 4 (1997): 805–36. http://dx.doi.org/10.1162/neco.1997.9.4.805.

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We study image segmentation on the basis of locally excitatory, globally inhibitory oscillator networks (LEGION), whereby the phases of oscillators encode the binding of pixels. We introduce a lateral potential for each oscillator so that only oscillators with strong connections from their neighborhood can develop high potentials. Based on the concept of the lateral potential, a solution to remove noisy regions in an image is proposed for LEGION, so that it suppresses the oscillators corresponding to noisy regions but without affecting those corresponding to major regions. We show that the res

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3

Kabana, Sonia, and Peter Minkowski. "Counting of oscillatory modes of valence quarks forming q–q̄ mesons." International Journal of Modern Physics A 31, no. 07 (2016): 1650023. http://dx.doi.org/10.1142/s0217751x16500238.

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We present the unique properties of oscillatory modes of valence quarks [Formula: see text] and antiquarks in mesons and the mass spectrum of associated mesons. The mesonic multiplets are shown to emerge from the picture of oscillating quarks and antiquarks in three space dimensions in the center of mass system of the mesons. All oscillatory modes are fully relativistic with a finite number of oscillators and this is forming the unique harmonic oscillator with these properties. The density of states as a function of masssquare is calculated. Since it is known that there are missing states of u

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4

Adhikari, Sondipon. "Qualitative dynamic characteristics of a non-viscously damped oscillator." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2059 (2005): 2269–88. http://dx.doi.org/10.1098/rspa.2005.1485.

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This paper considers the linear dynamics of a single-degree-of-freedom non-viscously damped oscillator. It is assumed that the non-viscous damping force depends on the history of velocity via a convolution integral over an exponentially decaying kernel function. Classical qualitative dynamic properties known for viscously damped oscillators have been generalized to such non-viscously damped oscillators. The following questions of fundamental interest have been addressed: (i) under what conditions can a non-viscously damped oscillator sustain oscillatory motions? (ii) how does the natural frequ

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5

Boujo, E., and N. Noiray. "Robust identification of harmonic oscillator parameters using the adjoint Fokker–Planck equation." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2200 (2017): 20160894. http://dx.doi.org/10.1098/rspa.2016.0894.

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We present a model-based output-only method for identifying from time series the parameters governing the dynamics of stochastically forced oscillators. In this context, suitable models of the oscillator’s damping and stiffness properties are postulated, guided by physical understanding of the oscillatory phenomena. The temporal dynamics and the probability density function of the oscillation amplitude are described by a Langevin equation and its associated Fokker–Planck equation, respectively. One method consists in fitting the postulated analytical drift and diffusion coefficients with their

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6

Kabana, Sonia, and Peter Minkowski. "Counting of oscillatory modes of valence quarks forming qqq baryons for three quark flavors u, d, s." International Journal of Modern Physics A 32, no. 04 (2017): 1750004. http://dx.doi.org/10.1142/s0217751x1750004x.

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We present the unique properties of oscillatory modes of [Formula: see text] light quarks — [Formula: see text], [Formula: see text], [Formula: see text] — using the [Formula: see text] broken symmetry classification. [Formula: see text] stands for the space rotation group generated by the sum of the three individual angular momenta of quarks in their c.m. system. The baryonic multiplets are shown to emerge from the picture of oscillating quarks in three space dimensions in the center-of-mass system of the baryons. All oscillatory modes are fully relativistic with a finite number of oscillator

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7

Levy, Chagai, Monika Pinchas, and Yosef Pinhasi. "A New Approach for the Characterization of Nonstationary Oscillators Using the Wigner-Ville Distribution." Mathematical Problems in Engineering 2018 (July 11, 2018): 1–14. http://dx.doi.org/10.1155/2018/4942938.

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Oscillators and clocks are affected by physical mechanisms causing amplitude fluctuations, phase noise, and frequency instabilities. The physical properties of the elements composing the oscillator as well as external environmental conditions play a role in the characteristics of the oscillatory signal produced by the device. Such instabilities demonstrate frequency drifts and modulation and spectrum broadening and are observed to be nonstationary processes in nature. Most of tools which are being used to measure and characterize oscillator stability are based on signal processing techniques,

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8

Allenspach, R., and W. Weber. "Oscillatory magnetic properties." IBM Journal of Research and Development 42, no. 1 (1998): 7–24. http://dx.doi.org/10.1147/rd.421.0007.

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9

Levy, Chagai, Monika Pinchas, and Yosef Pinhasi. "Characterization of Nonstationary Phase Noise Using the Wigner–Ville Distribution." Mathematical Problems in Engineering 2020 (April 20, 2020): 1–7. http://dx.doi.org/10.1155/2020/1685762.

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Oscillators and atomic clocks, as well as lasers and masers, are affected by physical mechanisms causing amplitude fluctuations, phase noise, and frequency instabilities. The physical properties of the elements composing the oscillator as well as external environmental conditions play a role in the coherence of the oscillatory signal produced by the device. Such instabilities demonstrate frequency drifts, modulation, and spectrum broadening and are observed to be nonstationary processes in nature. Most of the tools which are being used to measure and characterize oscillator stability are based

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10

CORINTO, FERNANDO, MICHELE BONNIN, and MARCO GILLI. "WEAKLY CONNECTED OSCILLATORY NETWORK MODELS FOR ASSOCIATIVE AND DYNAMIC MEMORIES." International Journal of Bifurcation and Chaos 17, no. 12 (2007): 4365–79. http://dx.doi.org/10.1142/s0218127407020014.

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Several studies in neuroscience have shown that nonlinear oscillatory networks represent bio-inspired models for information and image processing. Recent studies on the thalamo-cortical system have shown that weakly connected oscillatory networks (WCONs) exhibit associative properties and can be exploited for dynamic pattern recognition. In this manuscript we focus on WCONs, composed of oscillators that adhere to a Lur'e like description and are organized in such a way that they communicate one another, through a common medium. The main dynamic features are investigated by exploiting the phase

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11

Sharp, A. A., L. F. Abbott, and E. Marder. "Artificial electrical synapses in oscillatory networks." Journal of Neurophysiology 67, no. 6 (1992): 1691–94. http://dx.doi.org/10.1152/jn.1992.67.6.1691.

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1. We use an electronic circuit to artificially electrically couple neurons. 2. Strengthening the coupling between an oscillating neuron and a hyperpolarized, passive neuron can either increase or decrease the frequency of the oscillator depending on the properties of the oscillator. 3. The result of electrically coupling two neuronal oscillators depends on the membrane potentials, intrinsic properties of the neurons, and the coupling strength. 4. The interplay between chemical inhibitory synapses and electrical synapses can be studied by creating both chemical and electrical synapses between

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12

Паровик, Р. И. "Анализ добротности вынужденных колебаний дробного линейного осциллятора". Журнал технической физики 90, № 7 (2020): 1059. http://dx.doi.org/10.21883/jtf.2020.07.49436.233-19.

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Using the harmonic balance method, analytical formulas are obtained for calculating the amplitude-frequency and phase-frequency characteristics, as well as the quality factor of the forced oscillations of a linear fractional oscillator. It was established that the characteristics under study depend on the dissipative properties of the medium - memory effects, which are described by derivatives of fractional orders. It is shown that fractional orders affect the attenuation of the oscillatory process and are associated with its quality factor. The calculated curves of the characteristics of the

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13

Williams, John H., and Julie A. Kauer. "Properties of Carbachol-Induced Oscillatory Activity in Rat Hippocampus." Journal of Neurophysiology 78, no. 5 (1997): 2631–40. http://dx.doi.org/10.1152/jn.1997.78.5.2631.

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Williams, John H. and Julie A. Kauer. Properties of carbachol-induced oscillatory activity in rat hippocampus. J. Neurophysiol. 78: 2631–2640, 1997. The recent resurgence of interest in carbachol oscillations as an in vitro model of theta rhythm in the hippocampus prompted us to evaluate the circuit mechanisms involved. In extracellular recordings, a regularly spaced bursting pattern of field potentials was observed in both CA3 and CA1 subfields in the presence of carbachol. Removal of the CA3 region abolished oscillatory activity observed in CA1, suggesting that the oscillatory generator is l

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14

Marušiak, Pavol. "Oscillatory properties of functional differential systems of neutral type." Czechoslovak Mathematical Journal 43, no. 4 (1993): 649–62. http://dx.doi.org/10.21136/cmj.1993.128431.

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15

Medveď, Milan. "Oscillatory properties of some classes of nonlinear differential equations." Mathematica Bohemica 117, no. 2 (1992): 123–31. http://dx.doi.org/10.21136/mb.1992.125910.

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16

Giesecke, A., F. Stefani та G. Gerbeth. "Spectral properties of oscillatory and non-oscillatory α2-dynamos". Geophysical & Astrophysical Fluid Dynamics 107, № 1-2 (2012): 45–57. http://dx.doi.org/10.1080/03091929.2012.668543.

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17

STÉPÁN, GÁBOR, TAMÁS INSPERGER, and RÓBERT SZALAI. "DELAY, PARAMETRIC EXCITATION, AND THE NONLINEAR DYNAMICS OF CUTTING PROCESSES." International Journal of Bifurcation and Chaos 15, no. 09 (2005): 2783–98. http://dx.doi.org/10.1142/s0218127405013642.

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It is a rule of thumb that time delay tends to destabilize any dynamical system. This is not true, however, in the case of delayed oscillators, which serve as mechanical models for several surprising physical phenomena. Parametric excitation of oscillatory systems also exhibits stability properties sometimes defying our physical sense. The combination of the two effects leads to challenging tasks when nonlinear dynamic behaviors in these systems are to be predicted or explained as well. This paper gives a brief historical review of the development of stability analysis in these systems, induce

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18

Jezzini, Sami H., Andrew A. V. Hill, Pavlo Kuzyk, and Ronald L. Calabrese. "Detailed Model of Intersegmental Coordination in the Timing Network of the Leech Heartbeat Central Pattern Generator." Journal of Neurophysiology 91, no. 2 (2004): 958–77. http://dx.doi.org/10.1152/jn.00656.2003.

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To address the general problem of intersegmental coordination of oscillatory neuronal networks, we have studied the leech heartbeat central pattern generator. The core of this pattern generator is a timing network that consists of two segmental oscillators, each of which comprises two identified, reciprocally inhibitory oscillator interneurons. Intersegmental coordination between the segmental oscillators is mediated by synaptic interactions between the oscillator interneurons and identified coordinating interneurons. The small number of neurons (8) and the distributed structure of the timing

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19

Lamport, Derek T. A. "The Growth Oscillator and Plant Stomata: An Open and Shut Case." Plants 12, no. 13 (2023): 2531. http://dx.doi.org/10.3390/plants12132531.

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Since Darwin’s “Power of Movement in Plants” the precise mechanism of oscillatory plant growth remains elusive. Hence the search continues for the hypothetical growth oscillator that regulates a huge range of growth phenomena ranging from circumnutation to pollen tube tip growth and stomatal movements. Oscillators are essentially simple devices with few components. A universal growth oscillator with only four major components became apparent recently with the discovery of a missing component, notably arabinogalactan glycoproteins (AGPs) that store dynamic Ca2+ at the cell surface. Demonstrably

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20

Anjum, Naveed, and Ji-Huan He. "Higher-order homotopy perturbation method for conservative nonlinear oscillators generally and microelectromechanical systems’ oscillators particularly." International Journal of Modern Physics B 34, no. 32 (2020): 2050313. http://dx.doi.org/10.1142/s0217979220503130.

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A modification of the homotopy perturbation method is proposed by taking advantage of the enhanced perturbation method and the parameter expanding technology. A generalized oscillatory equation and some nonlinear oscillators as the special cases of this equation are considered as examples to outline the basic properties of the modification, and the result is of high accuracy.

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21

Narahara, Koichi. "Interaction of Self-Sustained Pulses in Tunnel-Diode Oscillator Lattices." Mathematical Problems in Engineering 2021 (December 15, 2021): 1–14. http://dx.doi.org/10.1155/2021/5027127.

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A one-dimensional lattice in tunnel-diode (TD) oscillators supports self-sustained solitary pulses resulting from the balance between gain and attenuation. By applying the reduction theory to the device’s model equation, it is found that two relatively distant pulses moving in the lattice are mutually affected by a repulsive interaction. This property can be efficiently utilized in equalizing pulse positions to achieve jitter elimination. In particular, when two pulses rotate in a small, closed lattice, they separate evenly at the asymptotic limit. As a result, the lattice loop can provide an

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22

Miyata, Ryota, and Koji Kurata. "Properties of localized oscillatory excitation in a nonlinear oscillatory field." Artificial Life and Robotics 16, no. 2 (2011): 239–42. http://dx.doi.org/10.1007/s10015-011-0927-7.

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23

GILLI, MARCO, MICHELE BONNIN, and FERNANDO CORINTO. "ON GLOBAL DYNAMIC BEHAVIOR OF WEAKLY CONNECTED OSCILLATORY NETWORKS." International Journal of Bifurcation and Chaos 15, no. 04 (2005): 1377–93. http://dx.doi.org/10.1142/s0218127405012661.

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The global dynamics of weakly connected oscillatory networks is investigated: as a case study, one-dimensional arrays of third-order oscillators are considered. Through the joint application of the describing function technique and Malkin's Theorem a very accurate analytical expression of the phase deviation equation (i.e. the equation that describes the phase deviation due to the weak coupling) is derived. The total number of limit cycles and their stability properties are estimated via the analytical study of the phase deviation equation. The proposed technique significantly extends the resu

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24

Marušiak, Pavol. "Oscillatory properties of solutions of nonlinear differential systems with deviating arguments." Czechoslovak Mathematical Journal 36, no. 2 (1986): 223–31. http://dx.doi.org/10.21136/cmj.1986.102086.

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25

Švec, Marko. "Oscillatory properties of solutions to a differential inclusion of order $n$." Czechoslovak Mathematical Journal 42, no. 1 (1992): 35–43. http://dx.doi.org/10.21136/cmj.1992.128310.

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26

Belogortsev, Andrey B., Dmitry M. Vavriv, and Oleg A. Tretyakov. "Destruction of Quasiperiodic Oscillations in Weakly Nonlinear Systems." Applied Mechanics Reviews 46, no. 7 (1993): 372–84. http://dx.doi.org/10.1115/1.3120366.

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We consider the main regularities of the arising of the dynamical chaos in weakly nonlinear oscillatory systems. We show that the chaotic oscillations in such systems can occur due to the destruction of quasiperiodic oscillations. Various analytical approaches are applied to study the properties of the quasiperiodically forced passive and active single-mode oscillators as well as the conditions for the appearance of chaos. The results of numerical and experimental investigations are also discussed.

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27

Kaczorowski, J., and J. Pintz. "Oscillatory properties of arithmetical functions. I." Acta Mathematica Hungarica 48, no. 1-2 (1986): 173–85. http://dx.doi.org/10.1007/bf01949062.

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28

Kaczorowski, J., and J. Pintz. "Oscillatory properties of arithmetical functions. II." Acta Mathematica Hungarica 49, no. 3-4 (1987): 441–53. http://dx.doi.org/10.1007/bf01951008.

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29

Grace, S. R. "Oscillatory properties of functional differential equations." Journal of Mathematical Analysis and Applications 160, no. 1 (1991): 60–78. http://dx.doi.org/10.1016/0022-247x(91)90290-g.

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30

Postnov, Dmitrij, Aleksandr Balanov, and Vladislav Cherniakov. "Synchronization and chaos in population dynamics models." Izvestiya VUZ. Applied Nonlinear Dynamics 5, no. 1 (1997): 54–68. http://dx.doi.org/10.18500/0869-6632-1997-5-1-54-68.

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We consider а microbiological system consisting of several bacteria—virus populations which are coupled via the flow of resources. The behavior of both continious time mathematical models and discrete time ones is discussed. The origin of complex behavior due to properties of coupling between the oscillators with regular dynamics is illustrated. While studying the one-dimentional array of discrete time population models we reveal the mechanism of rise of spatial inhomogeneity of stationary oscillatory regimes characteristics.

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31

Chen, X.-B. "Highly oscillatory properties of unsteady ship waves." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 214, no. 6 (2000): 813–23. http://dx.doi.org/10.1243/0954406001523803.

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The singular and highly oscillatory properties of unsteady ship waves are studied by considering potential flows generated by a point source pulsating and advancing at a uniform forward speed located close to or at the free surface. The wave component of the free-surface potential defined by Noblesse and Chen by a single integral along the dispersion curves defined by the dispersion relation is analysed by developing asymptotic expansions of the open dispersion curves at large wave numbers. The asymptotic analysis of the wave component contributed by the leading asymptotic term of a parabolic

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Moaaz, Osama, Clemente Cesarano, and Sameh Askar. "Asymptotic and Oscillatory Properties of Noncanonical Delay Differential Equations." Fractal and Fractional 5, no. 4 (2021): 259. http://dx.doi.org/10.3390/fractalfract5040259.

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In this work, by establishing new asymptotic properties of non-oscillatory solutions of the even-order delay differential equation, we obtain new criteria for oscillation. The new criteria provide better results when determining the values of coefficients that correspond to oscillatory solutions. To explain the significance of our results, we apply them to delay differential equation of Euler-type.

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Bem, Tiaza, Yves Le Feuvre, John Simmers, and Pierre Meyrand. "Electrical Coupling Can Prevent Expression of Adult-Like Properties in an Embryonic Neural Circuit." Journal of Neurophysiology 87, no. 1 (2002): 538–47. http://dx.doi.org/10.1152/jn.00372.2001.

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Electrical coupling is widespread in developing nervous systems and plays a major role in circuit formation and patterning of activity. In most reported cases, such coupling between rhythmogenic neurons tends to synchronize and enhance their oscillatory behavior, thereby producing monophasic rhythmic output. However, in many adult networks, such as those responsible for rhythmic motor behavior, oscillatory neurons are linked by synaptic inhibition to produce rhythmic output with multiple phases. The question then arises whether such networks are still able to generate multiphasic output in the

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Новикова, Е. Р. "STUDY OF THE SINGULAR POINTS OF THE FRACTIONAL OSCILLATOR VAN DER POL-DUFFING." Вестник КРАУНЦ. Физико-математические науки, no. 2 (July 20, 2019): 47–54. http://dx.doi.org/10.26117/2079-6641-2019-27-2-47-54.

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В работе проводится исследование на асимптотическую устойчивость точек покоя дробного осциллятора Ван дер ПоляДуффинга. Дробный осциллятор Ван дер Поля Дуффинга представляет собой колебательную систему двух дифференциальных уравнений с производными дробных порядков в смысле ГерасимоваКапуто. Порядки дробных производных характеризуют свойства среды (эффекты памяти), в которой происходит колебательный процесс и могут быть одинаковыми (соизмеримыми) или разными (несоизмеримыми). С помощью теорем для соизмеримой и несоизмеримой систем на конкретных примерах исследуется асимптотическая устойчивость

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Olshansky, Vasiliy, Stanislav Olshansky, and Oleksіі Tokarchuk. "ON OSCILLATIONS DESCRIBING A GENERALIZED DIFFERENTIAL RELAY EQUATION." Vibrations in engineering and technology, no. 1(96) (August 27, 2020): 53–60. http://dx.doi.org/10.37128/2306-8744-2020-1-6.

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The motion of an oscillatory system with one degree of freedom, described by the generalized Rayleigh differential equation, is considered. The generalization is achieved by replacing the cubic term, which expresses the dissipative strength of the equation of motion, by a power term with an arbitrary positive exponent. To study the oscillatory process involved the method of energy balance. Using it, an approximate differential equation of the envelope of the graph of the oscillatory process is compiled and its analytical solution is constructed from which it follows that quasilinear frictional

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Otoo, Henry, William Obeng-Denteh, and Lewis Brew. "Oscillatory Solution of a Convolutional Volterra Integral Equation." Asian Research Journal of Mathematics 19, no. 12 (2023): 59–68. http://dx.doi.org/10.9734/arjom/2023/v19i12772.

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Oscillatory solutions play a pivotal role in understanding functional differential and integral equations, offering insights into the behaviour of these equations' solutions, and assisting in understanding their growth, stability, and convergence properties. This study establishes the oscillatory solution of a convolutional Volterra integral equation using mathematical proofs. Theorems for oscillatory solutions are proposed and proven based on well-defined assumptions, along with an illustrated example. The proofs presented herein reveal that the convolutional Volterra integral equation can ex

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Bobojonov, Yunus, Bayram Seytmuratov, A. N. Sultanov, Bayram Fayzullaev, and Husanov Shahobiddin Hayrullo oglu. "Calculated studies of the vibrational properties of the mode parameter of the electric power system containing asynchronous turbogenerators by their frequency characteristics." E3S Web of Conferences 289 (2021): 07025. http://dx.doi.org/10.1051/e3sconf/202128907025.

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The article presents the results of a study of the oscillatory properties of the operating parameter of electric power systems during joint operation of synchronous and asynchronous turbine generators at the station and the influence of the proportional ratios of their powers on the oscillatory properties based on their amplitudefrequency characteristics.

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Bazighifan, Omar, Rami Ahmad El-Nabulsi, and Osama Moaaz. "Asymptotic Properties of Neutral Differential Equations with Variable Coefficients." Axioms 9, no. 3 (2020): 96. http://dx.doi.org/10.3390/axioms9030096.

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The aim of this work is to study oscillatory behavior of solutions for even-order neutral nonlinear differential equations. By using the Riccati substitution, a new oscillation conditions is obtained which insures that all solutions to the studied equation are oscillatory. The obtained results complement the well-known oscillation results present in the literature. Some example are illustrated to show the applicability of the obtained results.

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Zhang, Wenxi. "The impulse spectrum method for vibration suppression of a flexible multilink robot arm." Journal of Vibration and Control 24, no. 17 (2017): 3865–81. http://dx.doi.org/10.1177/1077546317714184.

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The impulse spectrum method is proposed systematically, extending the method of vibration control by model-based feedforward. The impulse spectrum of multilink suggests free feeding directly responsible for flexible precessions, capable of vibration suppression (VSP) while maintaining swift response. The invariance criterion over piecewise extents of multilink configuration is proposed, with the extent given by allowable insensitivity as the basis of outputs interference for VSP. On the invariance assumption, the spectral functions are extractable for the annihilator of vibration of multilink,

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Aubry, Thierry, Tolotrahasiina Razafinimaro, Ricardo Silva Jacinto, and Philippe Bassoulet. "Rheological Properties of a Natural Estuarine Mud." Applied Rheology 13, no. 3 (2003): 142–49. http://dx.doi.org/10.1515/arh-2003-0010.

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Abstract In this paper, the linear and non-linear rheological properties of estuarine cohesive sediments were investigated. The density of the sediments has been determined by pycnometry. Creep and oscillatory shear measurements have been performed in order to determine i) the transitions in mechanical response to creep and oscillatory shear and ii) the material properties of these natural fluids as a function of their density. For all samples tested, four different rheological transitions have been determined and all material properties have been shown to be satisfactorily fitted by exponenti

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Cox, Barry J., Ngamta Thamwattana, and James M. Hill. "Mechanics of atoms and fullerenes in single-walled carbon nanotubes. II. Oscillatory behaviour." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463, no. 2078 (2006): 477–94. http://dx.doi.org/10.1098/rspa.2006.1772.

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The discovery of carbon nanotubes and C 60 fullerenes has created an enormous impact on possible new nanomechanical devices. Owing to their unique mechanical and electronic properties, such as low weight, high strength, flexibility and thermal stability, carbon nanotubes and C 60 fullerenes are of considerable interest to researchers from many scientific areas. One aspect that has attracted much attention is the creation of high-frequency nanoscale oscillators, or the so-called gigahertz oscillators, for applications such as ultrafast optical filters and nano-antennae. While there are difficul

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42

Ohriska, Ján. "Oscillatory and asymptotic properties of third and fourth order linear differential equations." Czechoslovak Mathematical Journal 39, no. 2 (1989): 215–24. http://dx.doi.org/10.21136/cmj.1989.102296.

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Zhang, Shuang, and Qiaoluan Li. "Oscillatory Properties for Second-Order Impulsive Neutral Dynamic Equations with Positive and Negative Coefficients on Time Scales." Journal of Mathematics 2021 (February 3, 2021): 1–7. http://dx.doi.org/10.1155/2021/3980250.

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We study oscillatory properties for second-order impulsive neutral dynamic equations with positive and negative coefficients on time scales. By using variable substitution, we obtain sufficient conditions for several dynamic equations to be oscillatory.

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PERC, MATJAŽ, and MARKO MARHL. "SYNCHRONIZATION OF REGULAR AND CHAOTIC OSCILLATIONS: THE ROLE OF LOCAL DIVERGENCE AND THE SLOW PASSAGE EFFECT — A Case Study on Calcium Oscillations." International Journal of Bifurcation and Chaos 14, no. 08 (2004): 2735–51. http://dx.doi.org/10.1142/s0218127404010849.

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In this paper, coupling properties of regular and chaotic calcium oscillations are examined. Synchronized calcium signals among coupled cells in tissue, where calcium ions were found to be one of the most important second messengers, have proven indispensable for proper and reliable functioning of living organisms. When modeling such systems, it is of particular interest to determine, which internal system properties guarantee best coupling abilities and herewith physiologically the most efficient signal transduction between cells. We found that local contractive properties of attractors in ph

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Rohit, Gupta, and Kumar Ajay. "Response of Non-Damped Oscillators Subjected To Rectangular Pulse." International Journal of Engineering and Applied Physics (IJEAP) 3, no. 3 (2023): 858–64. https://doi.org/10.5281/zenodo.8433293.

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In this manuscript, a new integral transform, that is, Rohit transform (RT) is put to use for finding the response of non-damped oscillators (i.e. electrical and mechanical oscillators) subjected to a rectangular pulse. Generally, this problem has been treated by methods like calculus or Laplace transforms. Also, some operational properties of the integral RT are discussed. This manuscript put forward a novel technique, that is, RT for finding the response of non-damped oscillators subjected to a rectangular pulse. It is found that before the removal of rectangular pulse, the nature of respons

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Lei, Yulong, Zhide Hu, HaoYang Jiang, Hujun Zhao, and Hansong Zhang. "Research on the evaluation method of the Rheological Properties of Magnetorheological Grease." Journal of Physics: Conference Series 2285, no. 1 (2022): 012012. http://dx.doi.org/10.1088/1742-6596/2285/1/012012.

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Abstract Research on the rheological properties of magnetorheological grease(MRG) is of great significance for evaluating its properties, revealing the internal parameters, and guiding its application. The characterization methods of rheological properties usually include steady-state shear mode and oscillatory shear mode. However, the experiment of MRG rheological properties is mostly carried out in steady-state shear mode. To characterize the rheological properties of different base oil -based magnetorheological greases, the adaptability of the steady-state shear mode is discussed, and the f

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WAKIYAMA, Yoshio, Masanobu TOHDO, Morimasa WATAKABE, et al. "INVESTIGATION OF OSCILLATORY PROPERTIES OF SCHOOL GYMNASIUMS." AIJ Journal of Technology and Design 16, no. 32 (2010): 91–96. http://dx.doi.org/10.3130/aijt.16.91.

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Schuur, Jerry D. "Oscillatory properties of solutions of the equations." Applicable Analysis 61, no. 3-4 (1996): 285–92. http://dx.doi.org/10.1080/00036819608840460.

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Akın-Bohner, E., Z. Došlá, and B. Lawrence. "Oscillatory properties for three-dimensional dynamic systems." Nonlinear Analysis: Theory, Methods & Applications 69, no. 2 (2008): 483–94. http://dx.doi.org/10.1016/j.na.2007.05.035.

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Hussein, Zahrah Abdul abbas, and Aqeel Falih Jaddoa. "Some Oscillatory Results of Nonlinear Neutral Differential Equation." Ibn AL-Haitham Journal For Pure and Applied Sciences 38, no. 3 (2025): 367–74. https://doi.org/10.30526/38.3.4063.

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In the last decades, functional differential equations have attracted the attention of many researchers; they were interested in the theory and its applications. The most common differential equations of functional type are advanced, neutral, and delay DEs. The theory of oscillatory DEs with retarded arguments has a paramount effect on the qualitative properties of DEs. It is essential to deduce conditions for oscillatory and non-oscillatory solutions. The objective of this paper is to obtain oscillatory conditions for differential equations with retarded arguments. So, the oscillatory behavio

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