Nonlinear Phenomena in Complex Systems, 2006, Vol.9, No.1, pp.68-74

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2006, Vol.9, No.1, pp.68-74

Controlling Chaos of a Nonlinear Stiff System.
Chu Yan-dong, Zhou Wei, and Chang Ying-xiang

In this article the nonlinear dynamics characteristics and stability of the forced Van der Pol equation are investigated by nonlinear theory. The stiffness and chaotic behaviors of the forced Van der Pol equation are proved by theories and simulations. The chaotic behaviors of the forced Van der Pol equation is controlled by five different chaotic control methods. The simulation results show that the chaotic behaviors of the forced Van der Pol equation can be successfully controlled.
Key words: stability, Lyapunov exponent, stiffness, controlling chaos

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