Homoclinic and Heteroclinic Motions

  • Stephen Wiggins
Part of the Applied Mathematical Sciences book series (AMS, volume 73)


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.


Periodic Orbit Unstable Manifold Homoclinic Orbit Stable Manifold Heteroclinic Orbit 
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Copyright information

© Springer Science+Business Media New York 1988

Authors and Affiliations

  • Stephen Wiggins
    • 1
  1. 1.Applied Mechanics 104-44California Institute of TechnologyPasadenaUSA

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