Homoclinic and Heteroclinic Motions
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.
KeywordsPeriodic Orbit Unstable Manifold Homoclinic Orbit Stable Manifold Heteroclinic Orbit
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