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

页码：215 / 222

页数：8

共 50 条

[1] 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
[2] Jump and bifurcation of Duffing oscillator under combined harmonic and white noise excitations
Huang, ZL
Zhu, WQ
Suzuki, Y
ADVANCES IN STRUCTURAL DYNAMICS, VOLS I & II, 2000, 10 : 1167 - 1174
[3] Resonance behaviour and jump phenomenon in a two coupled Duffing-van der Pol oscillators
Rajasekar, S
Murali, K
CHAOS SOLITONS & FRACTALS, 2004, 19 (04) : 925 - 934
[4] Stochastic optimal control of first-passage failure for coupled Duffing-van der Pol system under Gaussian white noise excitations
Li, W
Xu, W
Zhao, JF
Ma, SJ
CHAOS SOLITONS & FRACTALS, 2005, 25 (05) : 1221 - 1228
[5] 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
[6] Bifurcation scenarios of the noisy Duffing-van der Pol oscillator
SchenkHoppe, KR
NONLINEAR DYNAMICS, 1996, 11 (03) : 255 - 274
[7] Stability and bifurcation analysis of delay coupled Van der Pol–Duffing oscillators
Hong Zang
Tonghua Zhang
Yanduo Zhang
Nonlinear Dynamics, 2014, 75 : 35 - 47
[8] Stochastic jump and bifurcation of Duffing oscillator with fractional derivative damping under combined harmonic and white noise excitations
Chen, Lincong
Zhu, Weiqiu
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2011, 46 (10) : 1324 - 1329
[9] Periodic bifurcation of Duffing-van der Pol oscillators having fractional derivatives and time delay
Leung, A. Y. T.
Yang, H. X.
Zhu, P.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (04) : 1142 - 1155
[10] Singularity analysis of Duffing-van der Pol system with two bifurcation parameters under multi-frequency excitations
Zhao-hong Qin
Yu-shu Chen
Applied Mathematics and Mechanics, 2010, 31 : 1019 - 1026

← 1 2 3 4 5 →