TY - JOUR
T1 - Symmetry-breaking bifurcation analysis of stochastic van der pol system via Chebyshev polynomial approximation
AU - Ma, Shaojuan
AU - Xu, Wei
AU - Jin, Yanfei
AU - Li, Wei
AU - Fang, Tong
PY - 2007/6
Y1 - 2007/6
N2 - Chebyshev polynomial approximation is applied to the symmetry-breaking bifurcation problem of a stochastic van der Pol system with bounded random parameter subjected to harmonic excitation. The stochastic system is reduced into an equivalent deterministic system, of which the responses can be obtained by numerical methods. Nonlinear dynamical behaviors related to various forms of stochastic bifurcations in stochastic system are explored and studied numerically.
AB - Chebyshev polynomial approximation is applied to the symmetry-breaking bifurcation problem of a stochastic van der Pol system with bounded random parameter subjected to harmonic excitation. The stochastic system is reduced into an equivalent deterministic system, of which the responses can be obtained by numerical methods. Nonlinear dynamical behaviors related to various forms of stochastic bifurcations in stochastic system are explored and studied numerically.
KW - Chebyshev polynomial
KW - Probability density function
KW - Stochastic van der Pol system
KW - Symmetry-breaking bifurcation
UR - http://www.scopus.com/inward/record.url?scp=33750512615&partnerID=8YFLogxK
U2 - 10.1016/j.cnsns.2005.03.004
DO - 10.1016/j.cnsns.2005.03.004
M3 - 文章
AN - SCOPUS:33750512615
SN - 1007-5704
VL - 12
SP - 366
EP - 378
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
IS - 3
ER -