TY - JOUR
T1 - Maximal Lyapunov exponent of a co-dimension two bifurcation system excited by a white noise
AU - Liu, X. B.
AU - Liew, K. M.
PY - 2005/6
Y1 - 2005/6
N2 - In this paper, we evaluate the maximal Lyapunov exponent for a co-dimension two bifurcation system, which is on a three-dimensional central manifold and is subjected to a parametric excitation by a white noise. Through a perturbation method, we obtain the explicit asymptotic expressions of the maximal Lyapunov exponent for three cases, in which different forms of the coefficient matrix that are included in the noise excitation term are assumed. © 2004 Elsevier Ltd. All rights reserved.
AB - In this paper, we evaluate the maximal Lyapunov exponent for a co-dimension two bifurcation system, which is on a three-dimensional central manifold and is subjected to a parametric excitation by a white noise. Through a perturbation method, we obtain the explicit asymptotic expressions of the maximal Lyapunov exponent for three cases, in which different forms of the coefficient matrix that are included in the noise excitation term are assumed. © 2004 Elsevier Ltd. All rights reserved.
KW - Diffusion process
KW - FPK equation
KW - Maximal Lyapunov exponent
KW - Singular point
UR - http://www.scopus.com/inward/record.url?scp=13544270845&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-13544270845&origin=recordpage
U2 - 10.1016/j.ijnonlinmec.2004.07.021
DO - 10.1016/j.ijnonlinmec.2004.07.021
M3 - RGC 21 - Publication in refereed journal
SN - 0020-7462
VL - 40
SP - 653
EP - 668
JO - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
IS - 5
ER -