Author:
Christie J. R.,Gopalsamy K.
Abstract
AbstractUsing 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.
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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3. Subharmonic orbits in an anharmonic oscillator;The Journal of the Australian Mathematical Society. Series B. Applied Mathematics;1997-01