Transversal Homoclinic Orbits and Hyperbolic Sets in Differential Equations
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.
KeywordsUnstable Manifold Homoclinic Orbit Saddle Connexion Melnikov Function Floquet Multiplier
Unable to display preview. Download preview PDF.