J Austral Math Soc Ser B 36 pp186--207, 1995.

Chaos in an anharmonic oscillator

J. R. Christie and K. Gopalsamy

(Received 16 June 1993; revised 12 October 1993)

Abstract

Using Melnikov's method, the existence of chaotic behaviour in the sense of Smale in a particular time-periodically perturbed planar autonomous system of ordinary differential equations is established. Examples of planar autonomous differential systems with homoclinic orbits are provided, and an application to the dynamics of a one-dimensional anharmonic oscillator is given.

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Authors

J. R. Christie
K. Gopalsamy: School of Info. Sci. and Tech., The Flinders University of SA, South Australia.

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Last Modified: Mon Dec 10 13:19:26 2001