Abstract
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.
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© 1988 Springer Science+Business Media New York
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Wiggins, S. (1988). Global Perturbation Methods for Detecting Chaotic Dynamics. In: Global Bifurcations and Chaos. Applied Mathematical Sciences, vol 73. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1042-9_4
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DOI: https://doi.org/10.1007/978-1-4612-1042-9_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-1041-2
Online ISBN: 978-1-4612-1042-9
eBook Packages: Springer Book Archive