Transversal Homoclinic Orbits and Hyperbolic Sets in Differential Equations

  • Ken Palmer
Part of the Mathematics and Its Applications book series (MAIA, volume 501)


In this chapter, we show how to construct a hyperbolic set somewhat more complicated than a single hyperbolic periodic orbit. In Chapter 10 we shall use shadowing to show that the dynamics in the neighbourhood of this hyperbolic set is chaotic.


Unstable Manifold Homoclinic Orbit Saddle Connexion Melnikov Function Floquet Multiplier 
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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Ken Palmer
    • 1
  1. 1.School of Mathematical & Statistical SciencesLa Trobe UniversityBundooraAustralia

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