Abstract
In this chapter we will study some of the consequences of homoclinic and hetero-clinic orbits in dynamical systems. Part of the motivation for the study of these special orbits comes from the fact that, in recent years, it has become apparent that homoclinic and heteroclinic orbits are often the mechanism for the chaos and transient chaos numerically observed in physical systems. We will comment on specific examples as we go along.
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© 1988 Springer Science+Business Media New York
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Wiggins, S. (1988). Homoclinic and Heteroclinic Motions. In: Global Bifurcations and Chaos. Applied Mathematical Sciences, vol 73. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1042-9_3
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DOI: https://doi.org/10.1007/978-1-4612-1042-9_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-1041-2
Online ISBN: 978-1-4612-1042-9
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