Global Perturbation Methods for Detecting Chaotic Dynamics

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


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.


Unstable Manifold Homoclinic Orbit Invariant Torus Unperturbed System Melnikov Function 
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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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