TY - JOUR
T1 - Symmetry-breaking bifurcation of double-well Duffing-Van der pol system with bounded random parameter
AU - Sun, Xiaojuan
AU - Xu, Wei
AU - Ma, Shaojuan
AU - Xie, Wenxian
PY - 2007/3
Y1 - 2007/3
N2 - Symmetry-breaking bifurcation in a double-well Duffing-Van der pol system with bounded random parameter under harmonic excitations, is investigated. The random system is reduced to its equivalent deterministic one by Chebyshev polynomial approximation, and the response of the stochastic system can be obtained by the deterministic methods. Numerical simulations show that similar to their counterpart in deterministic nonlinear system some symmetry-breaking bifurcation may occur in the stochastic Duffing-Van der pol system, and Chebyshev polynomial approximation is an effective approach in solving dynamical problems of nonlinear system with random parameter.
AB - Symmetry-breaking bifurcation in a double-well Duffing-Van der pol system with bounded random parameter under harmonic excitations, is investigated. The random system is reduced to its equivalent deterministic one by Chebyshev polynomial approximation, and the response of the stochastic system can be obtained by the deterministic methods. Numerical simulations show that similar to their counterpart in deterministic nonlinear system some symmetry-breaking bifurcation may occur in the stochastic Duffing-Van der pol system, and Chebyshev polynomial approximation is an effective approach in solving dynamical problems of nonlinear system with random parameter.
KW - Chebyshev polynomial
KW - Duffing-Van der pol system
KW - Symmetry-breaking bifurcation
UR - http://www.scopus.com/inward/record.url?scp=34248195930&partnerID=8YFLogxK
M3 - 文章
AN - SCOPUS:34248195930
SN - 1000-4939
VL - 24
SP - 93
EP - 96
JO - Yingyong Lixue Xuebao/Chinese Journal of Applied Mechanics
JF - Yingyong Lixue Xuebao/Chinese Journal of Applied Mechanics
IS - 1
ER -