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
  • [21] On the dynamics of a Van der Pol-Duffing snap system
    Wiggers, Vinicius
    Rech, Paulo C.
    EUROPEAN PHYSICAL JOURNAL B, 2022, 95 (02):
  • [22] PERIODIC MOTIONS IN A COUPLED VAN DER POL-DUFFING OSCILLATOR
    Xu, Yeyin
    Luo, Albert C. J.
    PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2017, VOL 6, 2017,
  • [23] Chaos from van der Pol-Duffing oscillator: Bispectral analysis
    Kim, KB
    Kim, SY
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1996, 65 (07) : 2323 - 2332
  • [24] Complex dynamical properties of coupled Van der Pol-Duffing oscillators with balanced loss and gain
    Roy, Puspendu
    Ghosh, Pijush K.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 55 (31)
  • [25] Adaptive synchronization of two chaotic systems consisting of modified Van der Pol-Duffing and Chua oscillators
    Fotsin, H
    Bowong, S
    Daafouz, J
    CHAOS SOLITONS & FRACTALS, 2005, 26 (01) : 215 - 229
  • [26] Master-slave synchronization in the Van der Pol-Duffing and Duffingoscillators
    Uriostegui Legorreta, Ulises
    Tututi Hernandez, Eduardo Salvador
    INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2024, 12 (02) : 356 - 372
  • [27] Bifurcations of the van der Pol-Duffing oscillator
    Pusenjak, R
    STROJNISKI VESTNIK-JOURNAL OF MECHANICAL ENGINEERING, 2003, 49 (7-8): : 370 - 384
  • [28] Chaotic dynamics of two Van der Pol-Duffing oscillators with Huygens coupling
    Belykh, V. N.
    Pankratova, E. V.
    REGULAR & CHAOTIC DYNAMICS, 2010, 15 (2-3): : 274 - 284
  • [29] Chaotic dynamics of two Van der Pol-Duffing oscillators with Huygens coupling
    V. N. Belykh
    E. V. Pankratova
    Regular and Chaotic Dynamics, 2010, 15 : 274 - 284
  • [30] Synchronization of four coupled van der Pol oscillators
    Miguel A. Barrón
    Mihir Sen
    Nonlinear Dynamics, 2009, 56
12345