Jump and bifurcation of coupled Duffing-van der Pol oscillators under combined harmonic and white noise excitations

被引：0
|
作者：
Huang, ZL [1 ]
Gao, LX [1 ]
Zhu, WQ [1 ]
机构：
[1] Zhejiang Univ, Dept Mech, Hangzhou 310027, Peoples R China
来源：
ADVANCES IN STOCHASTIC STRUCTURAL DYNAMICS | 2003年
关键词：
D O I：
暂无
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
A stochastic averaging procedure for coupled Duffing-van der Pol oscillators subject to combined harmonic and white noise excitations is proposed and the averaged Fokker-Planck-Kolmogorov(FPK) equation is solved by using the finite difference method. Based on the stationary joint probability density of amplitude and phase of the first oscillator, the stochastic jump of the coupled Dung-van der Pol oscillators and its bifurcation as the system parameters change are examined.
引用
收藏
页码：215 / 222
页数：8
相关论文
共 50 条
  • [41] Bifurcations and chaos in two-coupled periodically driven four-well Duffing-van der Pol oscillators
    Jothi, V. Bala Shunmuga
    Selvaraj, S.
    Chinnathambi, V.
    Rajasekar, S.
    CHINESE JOURNAL OF PHYSICS, 2017, 55 (05) : 1849 - 1856
  • [42] The response of a Duffing-van der Pol oscillator under delayed feedback control
    Li, XY
    Ji, JC
    Hansen, CH
    Tan, CX
    JOURNAL OF SOUND AND VIBRATION, 2006, 291 (3-5) : 644 - 655
  • [43] Darboux first integrals and linearizability of quadratic-quintic Duffing-van der Pol oscillators
    Demina, Maria, V
    Sinelshchikov, Dmitry, I
    JOURNAL OF GEOMETRY AND PHYSICS, 2021, 165
  • [44] Asymptotic Analytical Solutions Of A Two Coupled Duffing-Van Der Pol Oscillators Using THE Extended Homotopy Analysis Method
    Chen Sheng-min
    Duan Chun-mei
    2012 INTERNATIONAL CONFERENCE ON INDUSTRIAL CONTROL AND ELECTRONICS ENGINEERING (ICICEE), 2012, : 1614 - 1617
  • [45] Bifurcations in tri-stable Duffing-Van der Pol oscillator with recycling noise
    Zhang, Xiangyun
    Wu, Zhiqiang
    MODERN PHYSICS LETTERS B, 2018, 32 (20):
  • [46] Bifurcation and chaos in the piecewise-linear forced Duffing-van der Pol oscillator with a diode
    Inaba, N
    Tsukamoto, K
    Endo, T
    ICECS 2001: 8TH IEEE INTERNATIONAL CONFERENCE ON ELECTRONICS, CIRCUITS AND SYSTEMS, VOLS I-III, CONFERENCE PROCEEDINGS, 2001, : 1297 - 1300
  • [47] Stochastic responses of Duffing-Van der Pol vibro-impact system under additive and multiplicative random excitations
    Feng, Jinqian
    Xu, Wei
    Rong, Haiwu
    Wang, Rui
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2009, 44 (01) : 51 - 57
  • [48] General synchronization dynamics of coupled Van der Pol-Duffing oscillators
    Kadji, H. G. Enjieu
    Yamapi, R.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 370 (02) : 316 - 328
  • [49] Lag Synchronization in Coupled Multistable van der Pol-Duffing Oscillators
    Dudkowski, Dawid
    Kuzma, Patrycja
    Kapitaniak, Tomasz
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [50] Stochastic jump and bifurcation of flag-shaped hysteretic system under combined harmonic and white noise excitations
    Huiying Hu
    Lincong Chen
    Jiamin Qian
    International Journal of Dynamics and Control, 2022, 10 : 1291 - 1300
12345