Open AccessChaos control of Duffing systems by random phase
Author(s) -
Shuang Li,
Wei Xu,
Ruihong Li
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.1049
Subject(s) - phase portrait , lyapunov exponent , chaos (operating system) , statistical physics , duffing equation , phase (matter) , physics , computer science , nonlinear system , bifurcation , quantum mechanics , computer security
In this paper, the effect of random phase for Duffing systems is investigated. We show that random phase can generate chaos or suppress chaos by the average of top Lyapunov exponent, which is computed based on Khasminskii's spherical coordinate formulation for linear stochastic systems. In addition, phase portraits, Poincaré surface of section and time evolution are studied to confirm the obtained results. Both methods lead to fully consistent results.