2009•Journal of Hunan University of Science and EngineeringRequires access

Study on Chaotic Dynamics of A Duffing System

Xiangping Zhu

Abstract

We study the chaotic dynamics of a parametrically driven Duffing System with two external cosine forcings In the perturbed field, we obtain the Melnikov function, which predicts the existence of chaos. In the unperturbed field, with the numerical simulations, we plot a series of phase diagrams and find an important path to chaos--period doubling. Selecting proper controller, we realize chaos control.

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Key concepts: Chaotic, Control of chaos, Control theory (sociology), Statistical physics, Duffing equation, Field (mathematics), Trigonometric functions, CHAOS (operating system)