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
  • [41] Synchronized oscillations in a system of two coupled Van-der-Pol–Duffing oscillators
    Zakharov D.G.
    Mol'kov Y.I.
    Sushchik M.M.
    Radiophysics and Quantum Electronics, 1998, 41 (12) : 1037 - 1041
  • [42] Synchronized oscillations in a system of two coupled Van-der-Pol–Duffing oscillators
    Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russia
    Radiophys. Quantum Electron., 12 (1037-1041):
  • [43] Adaptive backstepping control and synchronization of a modified and chaotic Van der Pol-Duffing oscillator
    Vincent U.E.
    Odunaike R.K.
    Laoye J.A.
    Gbindinninuola A.A.
    Journal of Control Theory and Applications, 2011, 9 (2): : 273 - 277
  • [44] A van der Pol-Duffing Oscillator with Indefinite Degree
    Hebai Chen
    Jie Jin
    Zhaoxia Wang
    Baodong Zhang
    Qualitative Theory of Dynamical Systems, 2022, 21
  • [45] Horseshoe in a modified Van der Pol-Duffing circuit
    Fan, Qing-ju
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 210 (02) : 436 - 440
  • [46] VAN DER POL-DUFFING MODELING FOR TORSIONAL GALLOPING
    Fernandes, Antonio Carlos
    Armandei, Mohammadmehdi
    33RD INTERNATIONAL CONFERENCE ON OCEAN, OFFSHORE AND ARCTIC ENGINEERING, 2014, VOL 9B: OCEAN RENEWABLE ENERGY, 2014,
  • [47] Amplitude control of limit cycle in a van der Pol-Duffing system
    Ouyang Ke-Jian
    Tang Jia-Shi
    Liang Cui-Xiang
    CHINESE PHYSICS B, 2009, 18 (11) : 4748 - 4753
  • [48] FREQUENCY RESPONSE OF A VAN DER POL-DUFFING OSCILLATOR
    HAAS, VB
    PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1971, 59 (02): : 334 - &
  • [49] Control and synchronization in the Duffing-van der Pol and F6 Duffing oscillators
    Uriostegui-Legorreta, U.
    Tututi, E. S.
    INDIAN JOURNAL OF PHYSICS, 2023, 97 (14) : 4303 - 4315
  • [50] A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators
    Paccosi, Ruben Gustavo
    Figliola, Alejandra
    Galan-Vioque, Jorge
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2014, 13 (03): : 1152 - 1167
12345