Global Perturbation Methods for Detecting Chaotic Dynamics
In Chapter 3 we saw that orbits homoclinic or heteroclinic to hyperbolic fixed points, hyperbolic periodic orbits, or normally hyperbolic invariant tori could often be mechanisms for producing deterministic chaos. In this chapter we will develop a variety of perturbation techniques which will allow us to detect such homoclinic and heteroclinic orbits.
KeywordsUnstable Manifold Homoclinic Orbit Invariant Torus Unperturbed System Melnikov Function
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