Peculiarities of generalized synchronization in unidirectionally and mutually coupled time-delayed systems

被引:8
作者
Moskalenko, Olga I. [1 ]
Koronovskii, Alexey A. [1 ]
Plotnikova, Anastasiya D. [1 ]
机构
[1] Saratov NG Chernyshevskii State Univ, Astrakhanskaya 83, Saratov 410012, Russia
关键词
Generalized synchronization; Time-delayed systems; Lyapunov exponents; Auxiliary system approach; CHAOS; PHASE; WEAK;
D O I
10.1016/j.chaos.2021.111031
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Generalized synchronization in unidirectionally and mutually coupled time-delayed systems has been studied. For the analysis of such regime the method for calculation of Lyapunov exponents and auxiliary system approach (for unidirectional coupling) have been used. The universal regularity for the depen-dence of the boundary of generalized synchronization on time delay has been revealed. (c) 2021 Elsevier Ltd. All rights reserved.
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页数:7
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共 36 条
  • [1] Generalized synchronization of chaos: The auxiliary system approach
    Abarbanel, HDI
    Rulkov, NF
    Sushchik, MM
    [J]. PHYSICAL REVIEW E, 1996, 53 (05) : 4528 - 4535
  • [2] Anishchenko V. S., 1992, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, V2, P633, DOI 10.1142/S0218127492000756
  • [3] Anishchenko V.S., 2001, Nonlinear dynamics of chaotic and stochastic systems Springer, tutorial and modern developments
  • [4] Instantaneous phase method in studying chaotic and stochastic oscillations and its limitations
    Anishchenko, VS
    Vadivasova, TE
    Strelkova, GI
    [J]. FLUCTUATION AND NOISE LETTERS, 2004, 4 (01): : L219 - L229
  • [5] Boccaletti S., 2018, Synchronization: From Coupled Systems to Complex Networks
  • [6] Ditto W, 2002, NATURE, V415, P736, DOI 10.1038/415736b
  • [7] First Experimental Observation of Generalized Synchronization Phenomena in Microwave Oscillators
    Dmitriev, Boris S.
    Hramov, Alexander E.
    Koronovskii, Alexey A.
    Starodubov, Andrey V.
    Trubetskov, Dmitriy I.
    Zharkov, Yurii D.
    [J]. PHYSICAL REVIEW LETTERS, 2009, 102 (07)
  • [8] Generalized synchronization in coupled Ginzburg-Landau equations and mechanisms of its arising
    Hramov, AE
    Koronovskii, AA
    Popov, PV
    [J]. PHYSICAL REVIEW E, 2005, 72 (03):
  • [9] Computation of the spectrum of spatial Lyapunov exponents for the spatially extended beam-plasma systems and electron-wave devices
    Hramov, Alexander E.
    Koronovskii, Alexey A.
    Maximenko, Vladimir A.
    Moskalenko, Olga I.
    [J]. PHYSICS OF PLASMAS, 2012, 19 (08)
  • [10] Intricate routes to chaos in the Mackey-Glass delayed feedback system
    Junges, Leandro
    Gallas, Jason A. C.
    [J]. PHYSICS LETTERS A, 2012, 376 (30-31) : 2109 - 2116