Transversal Homoclinic Orbits and Hyperbolic Sets in Differential Equations

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

Abstract

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.

Keywords

Unstable Manifold Homoclinic Orbit Saddle Connexion Melnikov Function Floquet Multiplier 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

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

Personalised recommendations