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Chaos in an anharmonic oscillator
Published online by Cambridge University Press: 17 February 2009
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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- Copyright © Australian Mathematical Society 1995
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