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Chaos in an anharmonic oscillator

Published online by Cambridge University Press:  17 February 2009

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

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 37 , Issue 2 , October 1995 , pp. 186 - 207
Copyright
Copyright © Australian Mathematical Society 1995

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