Homoclinic Points in the Composition of Two Reflections

We examine a class of planar area preserving mappings and give a geometric condition that guarantees the existence of homoclinic points. To be more precise, let $f,g:R \to R$ be $C^1$ functions with domain all of $R$. Let $F:R^2 \to R^2$ denote a horizontal reflection in the curve $x=-f(y)$, and l...

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Bibliographic Details
Main Author: Jensen, ERIK
Other Authors: Queen's University (Kingston, Ont.). Theses (Queen's University (Kingston, Ont.))
Language:en
en
Published: 2013
Subjects:
Online Access:http://hdl.handle.net/1974/8288