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Showing 1 to 1 of 1 for “"Area Preserving Maps"”.
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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 …