Bifurcation and chaos in the piecewise-linear forced Duffing-van der Pol oscillator with a diode

被引:0
|
作者
Inaba, N [1 ]
Tsukamoto, K [1 ]
Endo, T [1 ]
机构
[1] Utsunomiya Univ, Dept Informat Sci, Utsunomiya, Tochigi 321, Japan
来源
ICECS 2001: 8TH IEEE INTERNATIONAL CONFERENCE ON ELECTRONICS, CIRCUITS AND SYSTEMS, VOLS I-III, CONFERENCE PROCEEDINGS | 2001年
关键词
D O I
10.1109/ICECS.2001.957453
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we analyze a forced Duffing-van der Pol oscillator with a diode by the use of a degenerate technique. We consider the case where the diode is assumed to operate as an ideal switch. In this case, the governing equation is represented by a constrained equation. From this equation, the Poincare map is derived as a one-dimensional map. The generation of various interesting phenomena such as torus and chaos etc. are well explained by the Poincare map.
引用
收藏
页码:1297 / 1300
页数:4
相关论文
共 50 条
  • [1] CHAOS VIA TORUS BREAKDOWN IN A PIECEWISE-LINEAR FORCED VAN DER POL OSCILLATOR WITH A DIODE
    INABA, N
    MORI, S
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (04): : 398 - 409
  • [2] Investigations on the bifurcation of a noisy Duffing-Van der Pol oscillator
    Kumar, Pankaj
    Narayanan, S.
    Gupta, Sayan
    PROBABILISTIC ENGINEERING MECHANICS, 2016, 45 : 70 - 86
  • [3] Bifurcation scenarios of the noisy Duffing-van der Pol oscillator
    SchenkHoppe, KR
    NONLINEAR DYNAMICS, 1996, 11 (03) : 255 - 274
  • [4] Bifurcation and chaos in the double-well Duffing-van der Pol oscillator: Numerical and analytical studies
    Venkatesan, A
    Lakshmanan, M
    PHYSICAL REVIEW E, 1997, 56 (06) : 6321 - 6330
  • [5] Global Bifurcation Analysis of a Duffing-Van der Pol Oscillator with Parametric Excitation
    Han, Qun
    Xu, Wei
    Yue, Xiaole
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (04):
  • [6] CONTROLLING OF CHAOS BY WEAK PERIODIC PERTURBATIONS IN DUFFING-VAN DER POL OSCILLATOR
    RAJASEKAR, S
    PRAMANA-JOURNAL OF PHYSICS, 1993, 41 (04): : 295 - 309
  • [7] Stochastic bifurcation in Duffing-van der Pol oscillators
    He, Q
    Xu, W
    Rong, HW
    Fang, T
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 338 (3-4) : 319 - 334
  • [8] Complex bifurcation structures and bursting oscillations of an extended Duffing-van der Pol oscillator
    Zhang, Chun
    Ma, Xindong
    Tang, Qiaoxia
    Bi, Qinsheng
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022,
  • [9] Bifurcation and chaos detection of a fractional Duffing-van der Pol oscillator with two periodic excitations and distributed time delay
    Zhang, Yufeng
    Li, Jing
    Zhu, Shaotao
    Zhao, Hongzhen
    CHAOS, 2023, 33 (08)
  • [10] Complex dynamics in an extended Duffing-van der Pol oscillator
    Yu, Jun
    Pan, Weizhen
    Zhang, Rongbo
    Zhang, Weijun
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2006, 7 (03) : 365 - 367