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Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 538202, 8 pages
Research Article

Suppressing Chaos of Duffing-Holmes System Using Random Phase

Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

Received 12 November 2010; Revised 28 January 2011; Accepted 21 February 2011

Academic Editor: Oleg V. Gendelman

Copyright © 2011 Li Longsuo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The effect of random phase for Duffing-Holmes equation is investigated. We show that as the intensity of random noise properly increases the chaotic dynamical behavior will be suppressed by the criterion of top Lyapunov exponent, which is computed based on the Khasminskii's formulation and the extension of Wedig's algorithm for linear stochastic systems. Then, the obtained results are further verified by the Poincaré map analysis, phase plot, and time evolution on dynamical behavior of the system, such as stability, bifurcation, and chaos. Thus excellent agrement between these results is found.