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Journal articles on the topic 'Delayed coupling'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 February 2022

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1

Wang, Guoliang, Zhongbao Yue, and Feng Wang. "New Pinning Synchronization of Complex Networks with Time-Varying Coupling Strength and Nondelayed and Delayed Coupling." Abstract and Applied Analysis 2015 (2015): 1–13. http://dx.doi.org/10.1155/2015/989201.

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The pinning synchronization problem for a class of complex networks is studied by a stochastic viewpoint, in which both time-varying coupling strength and nondelayed and delayed coupling are included. Different from the traditionally similar methods, its interval is separated into two subintervals and described by a Bernoulli variable. Both bounds and switching probability of such subintervals are contained. Particularly, the nondelayed and delayed couplings occur alternately in which another independent Bernoulli variable is introduced. Then, a new kind of pinning controller without time-varying coupling strength signal is developed, in which only its bounds and probabilities are contained. When such probabilities are unavailable, two different kinds of adaption laws are established to make the complex network globally synchronous. Finally, the validity of the presented methods is proved through a numerical example.

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2

Morelli, Luis G., Saúl Ares, Leah Herrgen, Christian Schröter, Frank Jülicher, and Andrew C. Oates. "Delayed coupling theory of vertebrate segmentation." HFSP Journal 3, no. 1 (February 2009): 55–66. http://dx.doi.org/10.2976/1.3027088.

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3

Siewe, Raoul Thepi, Alain Francis Talla, and Paul Woafo. "Experimental Synchronization of Two Van der Pol Oscillators with Nonlinear and Delayed Unidirectional Coupling." International Journal of Nonlinear Sciences and Numerical Simulation 18, no. 6 (October 26, 2017): 515–23. http://dx.doi.org/10.1515/ijnsns-2017-0024.

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AbstractThis paper presents the experimental investigation on synchronization of two Van der Pol oscillators with polynomial and delay unidirectional couplings. The intervals of coupling coefficients and delay leading to synchronization are determined experimentally using analog electronic circuits. Three cases are considered: autonomous Van der Pol oscillators, sinusoidally exited Van der Pol oscillators in the chaotic state and Van der Pol oscillators with two slowly sinusoidal excitations delivering periodic patterns of periodic pulses. It is found that the degree of the polynomial coupling reduces the intervals of coupling coefficients leading to synchronization and the delay affects the coupling intervals in a periodic way. The experimental results agree well with the results of the theoretical (mathematical and numerical) investigation.

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4

Zheng, Song, Gaogao Dong, and Qinsheng Bi. "Impulsive synchronization of complex networks with non-delayed and delayed coupling." Physics Letters A 373, no. 46 (November 2009): 4255–59. http://dx.doi.org/10.1016/j.physleta.2009.09.043.

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5

Wu, Zhaoyan. "Synchronization of discrete dynamical networks with non-delayed and delayed coupling." Applied Mathematics and Computation 260 (June 2015): 57–62. http://dx.doi.org/10.1016/j.amc.2015.03.044.

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6

Li, Wang, Yongzheng Sun, Youquan Liu, and Donghua Zhao. "Analyzing synchronization of time-delayed complex dynamical networks with periodic on-off coupling." International Journal of Modern Physics B 31, no. 28 (November 9, 2017): 1750210. http://dx.doi.org/10.1142/s0217979217502101.

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We investigate the synchronization of time-delayed complex dynamical networks with periodic on-off coupling. We derive sufficient conditions for the complete and generalized outer synchronization. Both our analytical and numerical results show that two time-delayed networks can achieve outer synchronization even if the couplings between the two networks switch off periodically. This synchronization behavior is largely dependent of the coupling strength, the on-off period, the on-off rate and the time delay. In particular, we find that the synchronization time nonmonotonically increases as the time delay increases when the time delay step is not equal to an integer multiple of the on-off period.

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7

Sharma, Amit, Manish Dev Shrimali, Awadhesh Prasad, and Ram Ramaswamy. "Time-delayed conjugate coupling in dynamical systems." European Physical Journal Special Topics 226, no. 9 (June 2017): 1903–10. http://dx.doi.org/10.1140/epjst/e2017-70026-4.

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8

Czumaj, Artur, and Miros?aw Kuty?owski. "Delayed path coupling and generating random permutations." Random Structures and Algorithms 17, no. 3-4 (2000): 238–59. http://dx.doi.org/10.1002/1098-2418(200010/12)17:3/4<238::aid-rsa4>3.0.co;2-e.

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9

Campbell, Sue Ann, R. Edwards, and P. van den Driessche. "Delayed Coupling Between Two Neural Network Loops." SIAM Journal on Applied Mathematics 65, no. 1 (January 2004): 316–35. http://dx.doi.org/10.1137/s0036139903434833.

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10

Guo, Wanli, Francis Austin, Shihua Chen, and Wen Sun. "Pinning synchronization of the complex networks with non-delayed and delayed coupling." Physics Letters A 373, no. 17 (April 2009): 1565–72. http://dx.doi.org/10.1016/j.physleta.2009.03.003.

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11

Guo, Wanli, Shihua Chen, and Wen Sun. "Topology identification of the complex networks with non-delayed and delayed coupling." Physics Letters A 373, no. 41 (October 2009): 3724–29. http://dx.doi.org/10.1016/j.physleta.2009.08.054.

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12

Lou, Ke, Baotong Cui, and Xiaojiao Zhang. "Adaptive synchronization of two complex networks with delayed and non-delayed coupling." Arabian Journal of Mathematics 1, no. 2 (April 21, 2012): 219–26. http://dx.doi.org/10.1007/s40065-012-0028-z.

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13

ZAKHAROV, D. G., and V. I. NEKORKIN. "SYNCHRONIZATION IN A MODEL OF INTERACTING INFERIOR OLIVE CELLS WITH TIME-DELAYED COUPLING." International Journal of Bifurcation and Chaos 20, no. 06 (June 2010): 1797–801. http://dx.doi.org/10.1142/s0218127410026848.

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The influence of coupling time delay on synchronization processes is studied within the framework of a model describing the dynamics of two inferior olive cells coupled electronically through gap-junctions surrounded by synaptic inhibitory terminals that block these couplings. It was found that different types of synchronous behavior exist in the system, depending on parameters, and that even small changes of coupling time delay may change a dynamic regime to another one. This may be the transition between the regimes of different synchronization types, spike time binding, nonsynchronous behavior or the regime of activity suppression of an inferior olive cell.

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14

Al Husseini, Hussein B. "Synchronization of Delayed Quantum Dot Light Emitting Diodes." WSEAS TRANSACTIONS ON ELECTRONICS 11 (January 8, 2021): 151–58. http://dx.doi.org/10.37394/232017.2020.11.18.

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Chaos synchronization of two quantum dot light emitting diodes (QDLEDs) theoretically is studied, which is delay coupled via a closed or open –loop and mutual coupling system. Whereas the synchronized- chaotic systems, the dynamics of there are identical to uncoupled DLED under optical feedback effect. Complete synchronization was obtained under certain conditions for the coupling parameters. We evaluated the range of the QDLED’s chaos with extrinsic optical feedback in methods of the chaos synchronization residue diagram and discussion as well of the coherence for the optimal coupling strength range. With proper conditions of the coupling parameters and the evaluation methods, the synchronization was satisfactorily obtained between the transmitter and receiver

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15

Al Husseini, Hussein B. "Synchronization of Delayed Quantum Dot Light Emitting Diodes." WSEAS TRANSACTIONS ON ELECTRONICS 11 (January 8, 2021): 151–58. http://dx.doi.org/10.37394/232017.2020.11.18.

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Chaos synchronization of two quantum dot light emitting diodes (QDLEDs) theoretically is studied, which is delay coupled via a closed or open –loop and mutual coupling system. Whereas the synchronized- chaotic systems, the dynamics of there are identical to uncoupled DLED under optical feedback effect. Complete synchronization was obtained under certain conditions for the coupling parameters. We evaluated the range of the QDLED’s chaos with extrinsic optical feedback in methods of the chaos synchronization residue diagram and discussion as well of the coherence for the optimal coupling strength range. With proper conditions of the coupling parameters and the evaluation methods, the synchronization was satisfactorily obtained between the transmitter and receiver

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16

Schöll, Eckehard, Gerald Hiller, Philipp Hövel, and Markus A. Dahlem. "Time-delayed feedback in neurosystems." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 367, no. 1891 (February 16, 2009): 1079–96. http://dx.doi.org/10.1098/rsta.2008.0258.

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The influence of time delay in systems of two coupled excitable neurons is studied in the framework of the FitzHugh–Nagumo model. A time delay can occur in the coupling between neurons or in a self-feedback loop. The stochastic synchronization of instantaneously coupled neurons under the influence of white noise can be deliberately controlled by local time-delayed feedback. By appropriate choice of the delay time, synchronization can be either enhanced or suppressed. In delay-coupled neurons, antiphase oscillations can be induced for sufficiently large delay and coupling strength. The additional application of time-delayed self-feedback leads to complex scenarios of synchronized in-phase or antiphase oscillations, bursting patterns or amplitude death.

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17

GAO, JUN, and ZHAO-YAN WU. "SYNCHRONIZATION OF COMPLEX NETWORK WITH NON-DELAYED AND DELAYED COUPLING VIA INTERMITTENT CONTROL." International Journal of Modern Physics C 22, no. 08 (August 2011): 861–70. http://dx.doi.org/10.1142/s012918311101666x.

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This paper investigates the exponential synchronization of complex network with non-delayed and delayed coupling. A periodically intermittent controller is designed to synchronize the network onto a given orbit. Based on Lyapunov function and differential inequality method, the criteria for exponential synchronization are derived. Numerical simulation is presented to verify the effectiveness of the derived results.

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18

Cao, Jinde, Ping Li, and Weiwei Wang. "Global synchronization in arrays of delayed neural networks with constant and delayed coupling." Physics Letters A 353, no. 4 (May 2006): 318–25. http://dx.doi.org/10.1016/j.physleta.2005.12.092.

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19

Wan-Li, Guo, Francis Austin, and Chen Shi-Hua. "Structure Identification of Nonlinearly Coupled Complex Networks with Non-Delayed and Delayed Coupling." Chinese Physics Letters 27, no. 3 (March 2010): 030507. http://dx.doi.org/10.1088/0256-307x/27/3/030507.

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20

Guo, Wanli, Francis Austin, and Shihua Chen. "Global synchronization of nonlinearly coupled complex networks with non-delayed and delayed coupling." Communications in Nonlinear Science and Numerical Simulation 15, no. 6 (June 2010): 1631–39. http://dx.doi.org/10.1016/j.cnsns.2009.06.016.

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21

Miao, Yu, He Liang, Zhao Haiyun, Chen Zhigang, and Yi Junyan. "Analysis and Design of Adaptive Synchronization of a Complex Dynamical Network with Time-Delayed Nodes and Coupling Delays." Mathematical Problems in Engineering 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/8965124.

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This paper is devoted to the study of synchronization problems in uncertain dynamical networks with time-delayed nodes and coupling delays. First, a complex dynamical network model with time-delayed nodes and coupling delays is given. Second, for a complex dynamical network with known or unknown but bounded nonlinear couplings, an adaptive controller is designed, which can ensure that the state of a dynamical network asymptotically synchronizes at the individual node state locally or globally in an arbitrary specified network. Then, the Lyapunov-Krasovskii stability theory is employed to estimate the network coupling parameters. The main results provide sufficient conditions for synchronization under local or global circumstances, respectively. Finally, two typical examples are given, using the M-G system as the nodes of the ring dynamical network and second-order nodes in the dynamical network with time-varying communication delays and switching communication topologies, which illustrate the effectiveness of the proposed controller design methods.

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22

POPOVYCH, OLEKSANDR V., VALERII KRACHKOVSKYI, and PETER A. TASS. "TWOFOLD IMPACT OF DELAYED FEEDBACK ON COUPLED OSCILLATORS." International Journal of Bifurcation and Chaos 17, no. 07 (July 2007): 2517–30. http://dx.doi.org/10.1142/s0218127407018592.

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We present a detailed bifurcation analysis of desynchronization transitions in a system of two coupled phase oscillators with delay. The coupling between the oscillators combines a delayed self-feedback of each oscillator with an instantaneous mutual interaction. The delayed self-feedback leads to a rich variety of dynamical regimes, ranging from phase-locked and periodically modulated synchronized states to chaotic phase synchronization and desynchronization. We show that an increase of the coupling strength between oscillators may lead to a loss of synchronization. Intriguingly, the delay has a twofold influence on the oscillations: synchronizing for small and intermediate coupling strength and desynchronizing if the coupling strength exceeds a certain threshold value. We show that the desynchronization transition has the form of a crisis bifurcation of a chaotic attractor of chaotic phase synchronization. This study contributes to a better understanding of the impact of time delay on interacting oscillators.

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23

Ann Campbell, Sue, and Ilya Kobelevskiy. "Phase models and oscillators with time delayed coupling." Discrete & Continuous Dynamical Systems - A 32, no. 8 (2012): 2653–73. http://dx.doi.org/10.3934/dcds.2012.32.2653.

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24

Al-Darabsah, Isam, and Sue Ann Campbell. "A phase model with large time delayed coupling." Physica D: Nonlinear Phenomena 411 (October 2020): 132559. http://dx.doi.org/10.1016/j.physd.2020.132559.

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25

Rüdiger, S., and L. Schimansky-Geier. "Dynamics of excitable elements with time-delayed coupling." Journal of Theoretical Biology 259, no. 1 (July 2009): 96–100. http://dx.doi.org/10.1016/j.jtbi.2009.01.030.

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26

Klinshov, Vladimir, Oleg Maslennikov, and Vladimir Nekorkin. "Jittering regimes of two spiking oscillators with delayed coupling." Applied Mathematics and Nonlinear Sciences 1, no. 1 (March 14, 2016): 197–206. http://dx.doi.org/10.21042/amns.2016.1.00015.

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AbstractA system of two oscillators with delayed pulse coupling is studied analytically and numerically. The so-called jittering regimes with non-equal inter-spike intervals are observed. The analytical conditions for the emergence of in-phase and anti-phase jittering are derived. The obtained results suggest universality of the multi-jitter instability for systems with delayed pulse coupling.

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27

JI, LIN, WEIGUO XU, and QIANSHU LI. "NOISE EFFECT ON INTRACELLULAR CALCIUM OSCILLATIONS IN A MODEL WITH DELAYED COUPLING." Fluctuation and Noise Letters 08, no. 01 (March 2008): L1—L9. http://dx.doi.org/10.1142/s0219477508004210.

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The cooperation of noise and the delayed coupling is investigated in a calcium model. Simulation results show that the constructive noise effect, like the coherence resonance (CR) and the optimization of signal regularity, can be significantly adjusted by the delayed coupling. Besides, the coupling may also play the constructive role to strengthen the signal by producing CR-like phenomenon under weak noise influence. When the noise is strong, the increase of coupling strength can decrease the adverse noise effect on the signal regularity.

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28

Wu, Yongbao, Yucong Li, and Wenxue Li. "Synchronization of random coupling delayed complex networks with random and adaptive coupling strength." Nonlinear Dynamics 96, no. 4 (April 19, 2019): 2393–412. http://dx.doi.org/10.1007/s11071-019-04930-w.

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29

Xu, Yuhua, Wuneng Zhou, and Jian’an Fang. "Topology identification of the modified complex dynamical network with non-delayed and delayed coupling." Nonlinear Dynamics 68, no. 1-2 (October 4, 2011): 195–205. http://dx.doi.org/10.1007/s11071-011-0217-x.

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30

Wang, Yangling, and Jinde Cao. "Pinning Synchronization of Delayed Neural Networks with Nonlinear Inner-Coupling." Discrete Dynamics in Nature and Society 2011 (2011): 1–12. http://dx.doi.org/10.1155/2011/901085.

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Without assuming the symmetry and irreducibility of the outer-coupling weight configuration matrices, we investigate the pinning synchronization of delayed neural networks with nonlinear inner-coupling. Some delay-dependent controlled stability criteria in terms of linear matrix inequality (LMI) are obtained. An example is presented to show the application of the criteria obtained in this paper.

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31

Yuan Guo-Yong, Yang Shi-Ping, Wang Guang-Rui, and Chen Shi-Gang. "Dynamics of two FitzHugh-Nagumo systems with delayed coupling." Acta Physica Sinica 54, no. 4 (2005): 1510. http://dx.doi.org/10.7498/aps.54.1510.

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32

Plesu, Valentin, Gheorghe Bumbac, Petrica Iancu, Ion Ivanescu, and Dan Corneliu Popescu. "Thermal coupling between crude distillation and delayed coking units." Applied Thermal Engineering 23, no. 14 (October 2003): 1857–69. http://dx.doi.org/10.1016/s1359-4311(03)00167-4.

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33

Wu, Wei, and Tianping Chen. "Desynchronization of pulse-coupled oscillators with delayed excitatory coupling." Nonlinearity 20, no. 3 (February 9, 2007): 789–808. http://dx.doi.org/10.1088/0951-7715/20/3/011.

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34

Wu, Jianshe, and Licheng Jiao. "Synchronization in complex delayed dynamical networks with nonsymmetric coupling." Physica A: Statistical Mechanics and its Applications 386, no. 1 (December 2007): 513–30. http://dx.doi.org/10.1016/j.physa.2007.07.052.

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35

Musslimani, Ziad H., Marin Soljačić, Mordechai Segev, and Demetrios N. Christodoulides. "Delayed-Action Interaction and Spin-Orbit Coupling between Solitons." Physical Review Letters 86, no. 5 (January 29, 2001): 799–802. http://dx.doi.org/10.1103/physrevlett.86.799.

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36

Zeng, Jianfang, and Jinde Cao. "Synchronisation in singular hybrid complex networks with delayed coupling." International Journal of Systems, Control and Communications 3, no. 2 (2011): 144. http://dx.doi.org/10.1504/ijscc.2011.039865.

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37

Wangli He and Jinde Cao. "Exponential Synchronization of Hybrid Coupled Networks With Delayed Coupling." IEEE Transactions on Neural Networks 21, no. 4 (April 2010): 571–83. http://dx.doi.org/10.1109/tnn.2009.2039803.

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38

Ghosh, Dibakar, Ioan Grosu, and Syamal K. Dana. "Design of coupling for synchronization in time-delayed systems." Chaos: An Interdisciplinary Journal of Nonlinear Science 22, no. 3 (September 2012): 033111. http://dx.doi.org/10.1063/1.4731797.

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39

Li, Ping, and James Lam. "Synchronization in networks of genetic oscillators with delayed coupling." Asian Journal of Control 13, no. 5 (February 17, 2011): 713–25. http://dx.doi.org/10.1002/asjc.360.

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40

Klinshov, Vladimir, and Vladimir Nekorkin. "Event-based simulation of networks with pulse delayed coupling." Chaos: An Interdisciplinary Journal of Nonlinear Science 27, no. 10 (October 2017): 101105. http://dx.doi.org/10.1063/1.5007033.

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41

Burić, Nikola, Kristina Todorović, and Nebojša Vasović. "Dynamics of noisy FitzHugh–Nagumo neurons with delayed coupling." Chaos, Solitons & Fractals 40, no. 5 (June 15, 2009): 2405–13. http://dx.doi.org/10.1016/j.chaos.2007.10.036.

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42

Unanyan, R., S. Guérin, B. W. Shore, and K. Bergmann. "Efficient population transfer by delayed pulses despite coupling ambiguity." European Physical Journal D 8, no. 3 (July 2000): 443–49. http://dx.doi.org/10.1007/s10053-000-8812-2.

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43

Lu, Jianquan, and Jinde Cao. "Adaptive synchronization of uncertain dynamical networks with delayed coupling." Nonlinear Dynamics 53, no. 1-2 (September 27, 2007): 107–15. http://dx.doi.org/10.1007/s11071-007-9299-x.

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44

Choi, Young-Pil, and Cristina Pignotti. "Exponential synchronization of Kuramoto oscillators with time delayed coupling." Communications in Mathematical Sciences 19, no. 5 (2021): 1429–45. http://dx.doi.org/10.4310/cms.2021.v19.n5.a11.

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45

Suresh, R., K. Srinivasan, D. V. Senthilkumar, K. Murali, M. Lakshmanan, and J. Kurths. "Dynamic Environment Coupling Induced Synchronized States in Coupled Time-Delayed Electronic Circuits." International Journal of Bifurcation and Chaos 24, no. 05 (May 2014): 1450067. http://dx.doi.org/10.1142/s0218127414500679.

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We experimentally demonstrate the effect of dynamic environment coupling in a system of coupled piecewise linear time-delay electronic circuits with mutual and subsystem coupling configurations. Time-delay systems are essentially infinite-dimensional systems with complex phase-space properties. Dynamic environmental coupling with mutual coupling configuration has been recently theoretically shown to induce complete (CS) and inverse synchronizations (IS) [Resmi et al., 2010] in low-dimensional dynamical systems described by ordinary differential equations (ODEs), for which no experimental confirmation exists. In this paper, we investigate the effect of dynamic environment for the first time in mutual as well as subsystem coupling configurations in coupled time-delay differential equations theoretically and experimentally. Depending upon the coupling strength and the nature of feedback, we observe a transition from asynchronization to CS via phase synchronization and from asynchronization to IS via inverse-phase synchronization in both coupling configurations. The results are corroborated by snapshots of the time evolution, phase projection plots and localized sets as observed from the oscilloscope. Further, the synchronization is also confirmed numerically from the largest Lyapunov exponents, correlation of probability of recurrence and correlation coefficient of the coupled time-delay system. We also present a linear stability analysis and obtain conditions for different synchronized states.

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46

Huang, Detian, Jianeng Tang, Peizhong Liu, and Yuzhao Zhang. "Novel Criterion for Synchronization Stability of Complex Dynamical Networks with Non-delayed and Delayed Coupling." International Journal of Control and Automation 9, no. 9 (September 30, 2016): 1–10. http://dx.doi.org/10.14257/ijca.2016.9.9.01.

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47

Wen, Sun, Shihua Chen, and Wanli Guo. "Adaptive global synchronization of a general complex dynamical network with non-delayed and delayed coupling." Physics Letters A 372, no. 42 (October 2008): 6340–46. http://dx.doi.org/10.1016/j.physleta.2008.08.059.

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48

Sun, Junwei, Yi Shen, and Guodong Zhang. "Transmission projective synchronization of multi-systems with non-delayed and delayed coupling via impulsive control." Chaos: An Interdisciplinary Journal of Nonlinear Science 22, no. 4 (December 2012): 043107. http://dx.doi.org/10.1063/1.4760251.

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49

Xu, Yuhua, Wuneng Zhou, and Jian-an Fang. "Adaptive synchronization of the complex dynamical network with double non-delayed and double delayed coupling." International Journal of Control, Automation and Systems 10, no. 2 (April 2012): 415–20. http://dx.doi.org/10.1007/s12555-012-0221-z.

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50

TANG, YANG, and JIAN-AN FANG. "SYNCHRONIZATION OF TAKAGI–SUGENO FUZZY STOCHASTIC DELAYED COMPLEX NETWORKS WITH HYBRID COUPLING." Modern Physics Letters B 23, no. 20n21 (August 20, 2009): 2429–47. http://dx.doi.org/10.1142/s0217984909020606.

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In this paper, we propose and investigate a general model of fuzzy complex networks described by the Takagi–Sugeno (T–S) fuzzy model with hybrid coupling and stochastic perturbation. The hybrid coupling includes constant coupling and discrete and distributed delay coupling. By utilizing a new Lyapunov functional form, we employ the stochastic analysis techniques and Kronecker product to develop delay-dependent synchronization criteria that ensure mean-square synchronization of the addressed T–S fuzzy delayed complex networks with stochastic disturbances. These sufficient conditions are computationally efficient, as it can be solved numerically by the LMI toolbox in Matlab. A numerical example is provided to demonstrate the effectiveness and the applicability of the proposed method.

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