Bistable phase synchronization and chaos in a system of coupled van der Pol-Duffing oscillators

被引：18
|
作者：
Kozlov, AK [1 ]
Sushchik, MM [1 ]
Molkov, YI [1 ]
Kuznetsov, AS [1 ]
机构：
[1] Russian Acad Sci, Inst Appl Phys, Nizhnii Novgorod 603600, Russia
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1999年 / 9卷 / 12期
关键词：
D O I：
10.1142/S0218127499001747
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Analysis of numerical solutions for a system of two van der Pol-Duffing oscillators with nonlinear coupling showed that there exist chaotic switchings (occurring at irregular time intervals) between two oscillatory regimes differing by nearly time-constant phase shifts between the coupled subsystems. The analysis includes the investigation of bifurcations of the periodic motions corresponding to synchronization of two subsystems, finding stability regions of synchronization regimes and scenarios of the transitions to chaos.
引用
收藏
页码：2271 / 2277
页数：7
相关论文
共 50 条
  • [31] Synchronization of four coupled van der Pol oscillators
    Barron, Miguel A.
    Sen, Mihir
    NONLINEAR DYNAMICS, 2009, 56 (04) : 357 - 367
  • [32] Synchronization in small assemblies of van der Pol Duffing chaotic oscillators
    Guemez, J
    Matias, MA
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1996, 6 (09): : 1761 - 1766
  • [33] Delay-Induced Double Hopf Bifurcations in a System of Two Delay-Coupled van der Pol-Duffing Oscillators
    Jiang, Heping
    Zhang, Tonghua
    Song, Yongli
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (04):
  • [34] Chaos, feedback control and synchronization of a fractional-order modified Autonomous Van der Pol-Duffing circuit
    Matouk, A. E.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (02) : 975 - 986
  • [35] Bogdanov-Takens and Triple Zero Bifurcations of Coupled van der Pol-Duffing Oscillators with Multiple Delays
    Liu, Xia
    Zhang, Tonghua
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2017, 27 (09):
  • [36] STRONGLY RESONANT BIFURCATIONS OF NONLINEARLY COUPLED VAN DER POL-DUFFING OSCILLATOR
    甘春标
    陆启韶
    黄克累
    Applied Mathematics and Mechanics(English Edition), 1999, (01) : 68 - 75
  • [37] Independent Period-2 Motions to Chaos in a van der Pol-Duffing Oscillator
    Xu, Yeyin
    Luo, Albert C. J.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2020, 30 (15):
  • [38] Strongly resonant bifurcations of nonlinearly coupled Van der Pol-Duffing Oscillator
    Gan, CB
    Lu, QS
    Huang, KL
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 1999, 20 (01) : 68 - 75
  • [39] Strongly resonant bifurcations of nonlinearly coupled van der pol-duffing oscillator
    Chunbiao G.
    Qishao L.
    Kelei H.
    Applied Mathematics and Mechanics, 1999, 20 (1) : 68 - 75
  • [40] A van der Pol-Duffing Oscillator with Indefinite Degree
    Chen, Hebai
    Jin, Jie
    Wang, Zhaoxia
    Zhang, Baodong
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (04)
12345