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Articles de revues sur le sujet « Partial synchronization »

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Auteur : Grafiati
Publié le 10 mars 2023

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1

SANTOBONI, GIOVANNI, ALEXANDER YU POGROMSKY et HENK NIJMEIJER. « PARTIAL OBSERVERS AND PARTIAL SYNCHRONIZATION ». International Journal of Bifurcation and Chaos 13, no 02 (février 2003) : 453–58. http://dx.doi.org/10.1142/s0218127403006698.

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In this Letter we analyze the concept of partial synchronization as observer design. Our aim is to estimate a signal, the function of the coordinates of a particular system that, when considering a specific output, is not necessarily fully observable.
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SURESH, R., D. V. SENTHILKUMAR, M. LAKSHMANAN et J. KURTHS. « GLOBAL AND PARTIAL PHASE SYNCHRONIZATIONS IN ARRAYS OF PIECEWISE LINEAR TIME-DELAY SYSTEMS ». International Journal of Bifurcation and Chaos 22, no 07 (juillet 2012) : 1250178. http://dx.doi.org/10.1142/s0218127412501787.

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In this paper, we report the phenomena of global and partial phase synchronizations in linear arrays of unidirectionally coupled piecewise linear time-delay systems. In particular, in a linear array with open end boundary conditions, global phase synchronization (GPS) is achieved by a sequential synchronization of local oscillators in the array as a function of the coupling strength (a second order transition). Several phase synchronized clusters are also formed during the transition to GPS at intermediate values of the coupling strength, as a prelude to full scale synchronization. On the other hand, in a linear array with closed end boundary conditions (ring topology), partial phase synchronization (PPS) is achieved by forming different groups of phase synchronized clusters above some threshold value of the coupling strength (a first order transition) where they continue to be in a stable PPS state. We confirm the occurrence of both global and partial phase synchronizations in two different piecewise linear time-delay systems using various qualitative and quantitative measures in three different frameworks, namely, using explicit phase, recurrence quantification analysis and the framework of localized sets.
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3

Lipowski, Adam, et Michel Droz. « Synchronization and partial synchronization of linear maps ». Physica A : Statistical Mechanics and its Applications 347 (mars 2005) : 38–50. http://dx.doi.org/10.1016/j.physa.2004.09.047.

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LUO, ALBERT C. J., et FUHONG MIN. « THE MECHANISM OF A CONTROLLED PENDULUM SYNCHRONIZING WITH PERIODIC MOTIONS IN A PERIODICALLY FORCED, DAMPED DUFFING OSCILLATOR ». International Journal of Bifurcation and Chaos 21, no 07 (juillet 2011) : 1813–29. http://dx.doi.org/10.1142/s0218127411029495.

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In this paper, the analytical conditions for the controlled pendulum synchronizing with periodic motions in the Duffing oscillator are developed using the theory of discontinuous dynamical systems. From the analytical conditions, the synchronization invariant domain is obtained. The partial and full synchronizations of the controlled pendulum with periodic motions in the Duffing oscillator are discussed. The control parameter map for the synchronization is achieved from the analytical conditions, and numerical illustrations of the partial and full synchronizations are carried out to illustrate the analytical conditions. This synchronization is different from the controlled Duffing oscillator synchronizing with chaotic motion in the periodically excited pendulum. Because the periodically forced, damped Duffing oscillator possesses periodic and chaotic motions, further investigation on the controlled pendulum synchronizing with complicated periodic and chaotic motions in the Duffing oscillator will be accomplished in sequel.
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5

Sun, Xiaohui, et Xilin Fu. « Synchronization of Two Different Dynamical Systems under Sinusoidal Constraint ». Journal of Applied Mathematics 2014 (2014) : 1–9. http://dx.doi.org/10.1155/2014/341635.

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This paper discusses the synchronization of the Van der Pol equation with a pendulum under the sinusoidal constraint through the theory of discontinuous dynamical systems. The analytical conditions for the sinusoidal synchronization of the Van der Pol equation with a periodically forced pendulum are developed. With the conditions, the sinusoidal synchronizations of the two systems are discussed. Switching points for appearance and vanishing of the partial synchronization are developed.
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6

Pogromsky, Alexander Yu. « A partial synchronization theorem ». Chaos : An Interdisciplinary Journal of Nonlinear Science 18, no 3 (septembre 2008) : 037107. http://dx.doi.org/10.1063/1.2959145.

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WANG, XINGANG, HAIHONG LI, KAI HU et GANG HU. « PARTIAL MEASURE SYNCHRONIZATION IN HAMILTONIAN SYSTEMS ». International Journal of Bifurcation and Chaos 12, no 05 (mai 2002) : 1141–48. http://dx.doi.org/10.1142/s0218127402004978.

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Partial synchronization in Hamiltonian systems is investigated based on the concept of measure-synchronization. The classical φ4 model is used for the investigation. A macroscopic observable of long-term average of particle energy is computed to describe transitions between desynchronization, different partial synchronization, and complete synchronization structures. It is found that, prior to the entire synchronization of all oscillators, partial measure-synchronization for some clusters of oscillators is stable within certain regions. Moreover, transition from quasiperiodicity to chaos is observed to be associated with the measure-synchronization as the coupling strength is increased.
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8

Inoue, Masayoshi, Takashi Kawazoe, Yutaka Nishi et Masakazu Nagadome. « Generalized synchronization and partial synchronization in coupled maps ». Physics Letters A 249, no 1-2 (novembre 1998) : 69–73. http://dx.doi.org/10.1016/s0375-9601(98)00713-0.

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9

Min, Fuhong, et Albert C. J. Luo. « Complex Dynamics of Projective Synchronization of Chua Circuits with Different Scrolls ». International Journal of Bifurcation and Chaos 25, no 05 (mai 2015) : 1530016. http://dx.doi.org/10.1142/s0218127415300165.

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In this paper, the dynamics mechanism of the projective synchronization of Chua circuits with different scrolls is investigated analytically through the theory of discontinuous dynamical systems. The analytical conditions for the projective synchronization of Chua circuits with chaotic motions are developed. From these conditions, the parameter characteristics of the projective synchronization of Chua circuits with different scrolls are discussed, and the corresponding parameter maps and the invariant domain for such projective synchronization of Chua circuits are presented. Illustrations for partial and full projective synchronizations of the Chua circuits are given. The projective synchronization of Chua circuits is implemented experimentally, and numerical and experimental results are compared.
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10

Hu, Fei Hu, Jie Jiang, Ling Ma et Lu Lu Liu. « Abstracting Synchronization Process in Workflow Involving Partial Synchronization Pattern ». Applied Mechanics and Materials 182-183 (juin 2012) : 1781–85. http://dx.doi.org/10.4028/www.scientific.net/amm.182-183.1781.

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For the partial synchronization problem in integration of workflow process model with data model, this paper develops an algorithm through synchronization edges to get synchronization processes. Firstly, a workflow model called RTWD net is introduced. Then the concepts of synchronization edge, process, synchronization process, base process, process tree, data type and trace-set of types is given. Finally, an algorithm for abstracting the synchronization process and a case study is presented.
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11

Wang, Zhen-Hua, et Zong-Hua Liu. « Partial synchronization in complex networks : Chimera state, remote synchronization, and cluster synchronization ». Acta Physica Sinica 69, no 8 (2020) : 088902. http://dx.doi.org/10.7498/aps.69.20191973.

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12

Hancock, Edward J., et David J. Hill. « Restricted Partial Stability and Synchronization ». IEEE Transactions on Circuits and Systems I : Regular Papers 61, no 11 (novembre 2014) : 3235–44. http://dx.doi.org/10.1109/tcsi.2014.2334991.

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13

Pogromsky, A., G. Santoboni et H. Nijmeijer. « PARTIAL SYNCHRONIZATION THROUGH PERMUTATION SYMMETRY ». IFAC Proceedings Volumes 35, no 1 (2002) : 215–20. http://dx.doi.org/10.3182/20020721-6-es-1901.01107.

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14

Ao, Bin, et Zhigang Zheng. « Partial synchronization on complex networks ». Europhysics Letters (EPL) 74, no 2 (avril 2006) : 229–35. http://dx.doi.org/10.1209/epl/i2005-10533-0.

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15

Jun, Chen, et Liu Zeng-rong. « Partial synchronization between different systems ». Applied Mathematics and Mechanics 26, no 9 (septembre 2005) : 1132–37. http://dx.doi.org/10.1007/bf02507722.

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HILLIER, DÁNIEL, SERKAN GÜNEL, JOHAN A. K. SUYKENS et JOOS VANDEWALLE. « PARTIAL SYNCHRONIZATION IN OSCILLATOR ARRAYS WITH ASYMMETRIC COUPLING ». International Journal of Bifurcation and Chaos 17, no 11 (novembre 2007) : 4177–85. http://dx.doi.org/10.1142/s0218127407019718.

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A new form of cluster synchronization is explored in cellular arrays of chaotic oscillators. Previously, it was shown in the literature that symmetries of the coupling topology with uniform interaction weights lead to several coexisting clusters of synchronized cells. In this study a new phenomenon is presented where highly asymmetric interaction weights can give rise to cluster synchronization regimes with partial synchronization. In addition, cluster or partial synchronization regimes corresponding to asymmetric interaction patterns can break the underlying symmetries of the network topology and boundary conditions at the expense of some residual synchronization error.
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17

Schöll, Eckehard. « Partial synchronization patterns in brain networks ». Europhysics Letters 136, no 1 (1 octobre 2021) : 18001. http://dx.doi.org/10.1209/0295-5075/ac3b97.

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Abstract Partial synchronization patterns play an important role in the functioning of neuronal networks, both in pathological and in healthy states. They include chimera states, which consist of spatially coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics, and other complex patterns. In this perspective article we show that partial synchronization scenarios are governed by a delicate interplay of local dynamics and network topology. Our focus is in particular on applications of brain dynamics like unihemispheric sleep and epileptic seizure.
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18

Dmitriev, Aleksey V., et Sergey M. Ermakov. « On partial synchronization of iterative methods ». Vestnik of Saint Petersburg University. Series 1. Mathematics. Mechanics. Astronomy 3(61), no 3 (2016) : 393–401. http://dx.doi.org/10.21638/11701/spbu01.2016.306.

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19

Akopov, A. A., T. E. Vadivasova, V. V. Astakhov et D. D. Matyushkin. « Partial synchronization in inhomogeneous autooscillatory media ». Technical Physics Letters 29, no 8 (août 2003) : 629–31. http://dx.doi.org/10.1134/1.1606769.

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20

Shabana, H. « Exact synchronization in partial deterministic automata ». Journal of Physics : Conference Series 1352 (octobre 2019) : 012047. http://dx.doi.org/10.1088/1742-6596/1352/1/012047.

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21

Pogromsky, Alexander, Giovanni Santoboni et Henk Nijmeijer. « Partial synchronization : from symmetry towards stability ». Physica D : Nonlinear Phenomena 172, no 1-4 (novembre 2002) : 65–87. http://dx.doi.org/10.1016/s0167-2789(02)00654-1.

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22

Li, Fengbing, Zhongjun Ma et Qichang Duan. « Partial component synchronization on chaotic networks ». Physica A : Statistical Mechanics and its Applications 515 (février 2019) : 707–14. http://dx.doi.org/10.1016/j.physa.2018.10.008.

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23

Chen, Hongwei, Jinling Liang et Jianquan Lu. « Partial Synchronization of Interconnected Boolean Networks ». IEEE Transactions on Cybernetics 47, no 1 (janvier 2017) : 258–66. http://dx.doi.org/10.1109/tcyb.2015.2513068.

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24

Wei, Qiang, Cheng-jun Xie, Xu-ri Kou et Wei Shen. « Delay Partial Synchronization of Mutual Delay Coupled Boolean Networks ». Measurement and Control 53, no 5-6 (15 avril 2020) : 870–75. http://dx.doi.org/10.1177/0020294019882967.

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This paper studies the delay partial synchronization for mutual delay-coupled Boolean networks. First, the mutual delay-coupled Boolean network model is presented. Second, some necessary and sufficient conditions are derived to ensure the delay partial synchronization of the mutual delay-coupled Boolean networks. The upper bound of synchronization time is obtained. Finally, an example is provided to illustrate the efficiency of the theoretical analysis.
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25

Steur, Erik, Carlos Murguia, Rob H. B. Fey et Henk Nijmeijer. « Synchronization and Partial Synchronization Experiments with Networks of Time-Delay Coupled Hindmarsh–Rose Neurons ». International Journal of Bifurcation and Chaos 26, no 07 (30 juin 2016) : 1650111. http://dx.doi.org/10.1142/s021812741650111x.

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We study experimentally synchronization and partial synchronization in networks of Hindmarsh–Rose model neurons that interact through linear time-delay couplings. Our experimental setup consists of electric circuit board realizations of the Hindmarsh–Rose model neuron and a coupling interface in which the interaction between the circuits is defined. With this experimental setup we test the predictive value of theoretical results about synchronization and partial synchronization in networks.
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26

WANG, YAN-WU, CHANGYUN WEN, YENG CHAI SOH et ZHI-HONG GUAN. « PARTIAL STATE IMPULSIVE SYNCHRONIZATION OF A CLASS OF NONLINEAR SYSTEMS ». International Journal of Bifurcation and Chaos 19, no 01 (janvier 2009) : 387–93. http://dx.doi.org/10.1142/s0218127409022944.

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Impulsive synchronization of chaotic systems is an attractive topic and a number of interesting results have been obtained in recent years. However, all of these results on impulsive synchronization need to employ full states of the system to achieve the desired objectives. In this paper, impulsive synchronization that needs only part of system states is studied for a class of nonlinear system. Typical chaotic systems, such as Lorenz system, Chen's system, and a 4D hyperchaotic system, are taken as examples. A new scheme is proposed to select the impulsive intervals. After some theoretical analysis, simulation results show the effectiveness of the proposed synchronization scheme.
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27

AO, BIN, XIAOJUAN MA, ZHIGANG ZHENG et XIULLIN LI. « PARTIAL SYNCHRONIZATION OF COUPLED CHAOTIC OSCILLATORS WITH BLINKING NON-LOCAL COUPLINGS ». International Journal of Modern Physics B 21, no 07 (20 mars 2007) : 995–1003. http://dx.doi.org/10.1142/s0217979207036862.

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Coupled chaotic oscillators are found to be able to achieve the partial synchronization state in some networks. The scaling relation between the synchronization time and the coupling at the synchronous threshold is found and explained. In the studies, it was found that the coupling of the synchronization properties of networks is not homogeneous.
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28

Cao, Lin, et Rongwei Guo. « Partial Anti-Synchronization Problem of the 4D Financial Hyper-Chaotic System with Periodically External Disturbance ». Mathematics 10, no 18 (16 septembre 2022) : 3373. http://dx.doi.org/10.3390/math10183373.

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This paper is concerned with the partial anti-synchronization of the 4D financial hyper-chaotic system with periodically external disturbance. Firstly, the existence of the partial anti-synchronization problem for the nominal 4D financial system is proven. Then, a suitable filter is presented, by which the periodically external disturbance is asymptotically estimated. Moreover, two disturbance estimator (DE)-based controllers are designed to realize the partial anti-synchronization problem of such a system. Finally, numerical simulation verifies the effectiveness and correctness of the proposed results.
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29

TABOROV, A. V., Yu L. MAISTRENKO et E. MOSEKILDE. « PARTIAL SYNCHRONIZATION IN A SYSTEM OF COUPLED LOGISTIC MAPS ». International Journal of Bifurcation and Chaos 10, no 05 (mai 2000) : 1051–66. http://dx.doi.org/10.1142/s0218127400000748.

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Clustering (or partial synchronization) in a system of globally coupled chaotic oscillators is studied by means of a model of three coupled logistic maps. For this model we determine the regions in parameter space where total and partial synchronization take place, examine the bifurcations through which total synchronization (one-cluster dynamics) breaks down to give way to two- and three-cluster dynamics, and follow the subsequent transformations of the various asynchronous periodic, quasiperiodic and chaotic states. Different forms of riddling of the basins of attraction for the fully synchronized state are observed, and we discuss the mechanisms through which they arise.
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30

Dmitriev, A. V., et S. M. Ermakov. « On the partial synchronization of iterative methods ». Vestnik St. Petersburg University : Mathematics 49, no 3 (juillet 2016) : 231–37. http://dx.doi.org/10.3103/s1063454116030055.

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31

MAISTRENKO, Yu, O. POPOVYCH et M. HASLER. « ON STRONG AND WEAK CHAOTIC PARTIAL SYNCHRONIZATION ». International Journal of Bifurcation and Chaos 10, no 01 (janvier 2000) : 179–203. http://dx.doi.org/10.1142/s0218127400000116.

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We study coupled nonlinear dynamical systems with chaotic behavior in the case when two or more (but not all) state variables synchronize, i.e. converge to each other asymptotically in time. It is shown that for symmetrical systems, such partial chaotic synchronization is usually only weak, whereas with nonsymmetrical coupling it can be strong in large parameter ranges. These facts are illustrated with systems of three coupled one-dimensional maps, for which a rich variety of different "partial chaotic synchronizing" phenomena takes place.
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32

Patapoutian, A. « Data-dependent synchronization in partial-response systems ». IEEE Transactions on Signal Processing 54, no 4 (avril 2006) : 1494–503. http://dx.doi.org/10.1109/tsp.2006.870587.

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33

Wang, Jun-Wei, et Ai-Min Chen. « Partial synchronization in coupled chemical chaotic oscillators ». Journal of Computational and Applied Mathematics 233, no 8 (février 2010) : 1897–904. http://dx.doi.org/10.1016/j.cam.2009.09.026.

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34

BANERJEE, R., E. PADMANABAN et S. K. DANA. « Control of partial synchronization in chaotic oscillators ». Pramana 84, no 2 (février 2015) : 203–15. http://dx.doi.org/10.1007/s12043-014-0927-y.

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35

Murguia, Carlos, Rob H. B. Fey et Henk Nijmeijer. « Partial Network Synchronization Using Diffusive Dynamic Couplings ». IFAC Proceedings Volumes 47, no 3 (2014) : 4675–80. http://dx.doi.org/10.3182/20140824-6-za-1003.00799.

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36

Su, Libo, Yanling Wei, Wim Michiels, Erik Steur et Henk Nijmeijer. « Robust partial synchronization of delay-coupled networks ». Chaos : An Interdisciplinary Journal of Nonlinear Science 30, no 1 (janvier 2020) : 013126. http://dx.doi.org/10.1063/1.5111745.

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Zhang, Gang, Zhongjun Ma, Yi Wang et Jianbao Zhang. « Partial Synchronizability Characterized by Principal Quasi-Submatrices Corresponding to Clusters ». Abstract and Applied Analysis 2014 (2014) : 1–9. http://dx.doi.org/10.1155/2014/584790.

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A partial synchronization problem in an oscillator network is considered. The concept on a principal quasi-submatrix corresponding to the topology of a cluster is proposed for the first time to study partial synchronization. It is shown that partial synchronization can be realized under the condition depending on the principal quasi-submatrix, but not distinctly depending on the intercluster couplings. Obviously, the dimension of any principal quasi-submatrix is usually far less than the one of the network topology matrix. Therefore, our criterion provides us a novel index of partial synchronizability, which reduces the network size when the network is composed of a great mount of nodes. Numerical simulations are carried out to confirm the validity of the method.
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38

Peng, Runlong, Cuimei Jiang et Rongwei Guo. « Partial Anti-Synchronization of the Fractional-Order Chaotic Systems through Dynamic Feedback Control ». Mathematics 9, no 7 (26 mars 2021) : 718. http://dx.doi.org/10.3390/math9070718.

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This paper investigates the partial anti-synchronization problem of fractional-order chaotic systems through the dynamic feedback control method. Firstly, a necessary and sufficient condition is proposed, by which the existence of the partial anti-synchronization problem is proved. Then, an algorithm is given and used to obtain all solutions of this problem. Moreover, the partial anti-synchronization problem of the fractional-order chaotic systems is realized through the dynamic feedback control method. It is noted that the designed controllers are single-input controllers. Finally, two illustrative examples with numerical simulations are used to verify the correctness and effectiveness of the proposed results.
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39

Bashkirtseva, Irina A., Alexander N. Pisarchik et Lev B. Ryashko. « Coexisting Attractors and Multistate Noise-Induced Intermittency in a Cycle Ring of Rulkov Neurons ». Mathematics 11, no 3 (23 janvier 2023) : 597. http://dx.doi.org/10.3390/math11030597.

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We study dynamics of a unidirectional ring of three Rulkov neurons coupled by chemical synapses. We consider both deterministic and stochastic models. In the deterministic case, the neural dynamics transforms from a stable equilibrium into complex oscillatory regimes (periodic or chaotic) when the coupling strength is increased. The coexistence of complete synchronization, phase synchronization, and partial synchronization is observed. In the partial synchronization state either two neurons are synchronized and the third is in antiphase, or more complex combinations of synchronous and asynchronous interaction occur. In the stochastic model, we observe noise-induced destruction of complete synchronization leading to multistate intermittency between synchronous and asynchronous modes. We show that even small noise can transform the system from the regime of regular complete synchronization into the regime of asynchronous chaotic oscillations.
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Ruzitalab, Ahmad, Mohammad Hadi Farahi et Gholamhossien Erjaee. « Partial Contraction Analysis of Coupled Fractional Order Systems ». Journal of Applied Mathematics 2018 (2 juillet 2018) : 1–9. http://dx.doi.org/10.1155/2018/9414835.

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Contraction theory regards the convergence between two arbitrary system trajectories. In this article we have introduced partial contraction theory as an extension of contraction theory to analyze coupled identical fractional order systems. It can, also, be applied to study the synchronization phenomenon in networks of various structures and with arbitrary number of systems. We have used partial contraction theory to derive exact and global results on synchronization and antisynchronization of fractional order systems.
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41

Solís-Perales, Gualberto. « Complete Synchronization of Strictly Different Chaotic Systems ». Journal of Applied Mathematics 2012 (2012) : 1–13. http://dx.doi.org/10.1155/2012/964179.

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The criteria for complete synchronization of strictly different chaotic systems using feedback control are presented in this paper. Complete synchronization is achieved when all the states in the slave system are synchronous with the corresponding state in the master system. We illustrate that using a single input and single output control scheme, the synchronization of a class of strictly different systems is obtained in partial form. To overcome this problem we show that a multiple input and multiple output control scheme with an equal number of inputs and outputs than the order system is required in order to obtain the complete synchronization. This procedure is used to synchronize the Rössler and the Chen systems as an example. We also demonstrate that if the synchronization scheme considers less inputs and outputs, the partial-state synchronization is obtained.
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42

Koronovskii, A. A., et A. E. Khramov. « Generalized synchronization of chaotic oscillators as a partial case of time scale synchronization ». Technical Physics Letters 30, no 12 (décembre 2004) : 998–1001. http://dx.doi.org/10.1134/1.1846839.

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43

ANISHCHENKO, V. S., T. E. VADIVASOVA, D. E. POSTNOV et M. A. SAFONOVA. « SYNCHRONIZATION OF CHAOS ». International Journal of Bifurcation and Chaos 02, no 03 (septembre 1992) : 633–44. http://dx.doi.org/10.1142/s0218127492000756.

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This paper is devoted to the problem of synchronization of dynamical systems in chaotic oscillations regimes. The authors attempt to use the ideas of synchronization and its mechanisms on a certain class of chaotic oscillations. These are chaotic oscillations for which one can pick out basic frequencies in their power spectra. The physical and computer experiments were carried out for the system of two coupled auto-oscillators. The experimental installation permitted one to realize both unidirectional coupling (external synchronization) and symmetrical coupling (mutual synchronization). An auto-oscillator with an inertial nonlinearity was chosen as a partial subsystem. It possesses a chaotic attractor of spiral type in its phase space. It is known that such chaotic oscillations have a distinguished peak in the power spectrum at the frequency f0 (basic frequency). In the experiments, one could make the basic frequencies of partial oscillators equal or different. The bifurcation diagrams on the plane of control parameters "detuning" and "coupling" were constructed and analyzed. The results of investigations permit one to conclude that classical ideas of synchronization can be applied to chaotic systems of the mentioned type. Two mechanisms of chaos synchronization were established: 1) basic frequency locking and 2) basic frequency suppression. The bifurcational background of these mechanisms was created using numerical analysis on a computer. This allowed one to analyze the evolution of different oscillation characteristics under the influence of synchronization.
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44

WU, CHAI WAH, et LEON O. CHUA. « A UNIFIED FRAMEWORK FOR SYNCHRONIZATION AND CONTROL OF DYNAMICAL SYSTEMS ». International Journal of Bifurcation and Chaos 04, no 04 (août 1994) : 979–98. http://dx.doi.org/10.1142/s0218127494000691.

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In this paper, we give a framework for synchronization of dynamical systems which unifies many results in synchronization and control of dynamical systems, in particular chaotic systems. We define concepts such as asymptotical synchronization, partial synchronization and synchronization error bounds. We show how asymptotical synchronization is related to asymptotical stability. The main tool we use to prove asymptotical stability and synchronization is Lyapunov stability theory. We illustrate how many previous results on synchronization and control of chaotic systems can be derived from this framework. We will also give a characterization of robustness of synchronization and show that master-slave asymptotical synchronization in Chua’s oscillator is robust.
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HUANG, XIA, JIAN GAO, DAIHAI HE et ZHIGANG ZHENG. « GENERALIZED SYNCHRONIZATION IN DOUBLY DRIVEN CHAOTIC SYSTEM ». International Journal of Modern Physics B 20, no 24 (30 septembre 2006) : 3477–85. http://dx.doi.org/10.1142/s0217979206035540.

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Generalized synchronization (GS) of a chaotic oscillator driven by two chaotic signals is investigated in this paper. Both receiver and drivers are the same kind of oscillators with mismatched parameter values. Partial and global GS may appear depending on coupling strengths. An approach based on the conditional entropy analysis is presented to test the partial GS, which is difficult to determine with conventional methods. A trough in conditional entropy spectrum indicates partial GS between the receiver and one of the drivers.
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Khanra, Pitambar, et Pinaki Pal. « Explosive synchronization in multilayer networks through partial adaptation ». Chaos, Solitons & ; Fractals 143 (février 2021) : 110621. http://dx.doi.org/10.1016/j.chaos.2020.110621.

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Gordon, Richard. « Partial synchronization of the colonial diatom Bacillaria "paradoxa" ». Research Ideas and Outcomes 2 (22 janvier 2016) : e7869. http://dx.doi.org/10.3897/rio.2.e7869.

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Hasler, M., Yu Maistrenko et O. Popovych. « Simple example of partial synchronization of chaotic systems ». Physical Review E 58, no 5 (1 novembre 1998) : 6843–46. http://dx.doi.org/10.1103/physreve.58.6843.

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Blaum, M., et J. Bruck. « Coding for delay-insensitive communication with partial synchronization ». IEEE Transactions on Information Theory 40, no 3 (mai 1994) : 941–45. http://dx.doi.org/10.1109/18.335907.

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Wu, Kaining, et Bor-Sen Chen. « Synchronization of Partial Differential Systems via Diffusion Coupling ». IEEE Transactions on Circuits and Systems I : Regular Papers 59, no 11 (novembre 2012) : 2655–68. http://dx.doi.org/10.1109/tcsi.2012.2190670.

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