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arXiv · 1410.5704

On bifurcations of area-preserving and non-orientable maps with quadratic homoclinic tangencies

Amadeu Delshams·Marina Gonchenko·Sergey V. Gonchenko
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Abstract

We study bifurcations of non-orientable area-preserving maps with quadratic homoclinic tangencies. We study the case when the maps are given on non-orientable two-dimensional surfaces. We consider one and two parameter general unfoldings and establish results related to the emergence of elliptic periodic orbits.

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Amadeu Delshams, Marina Gonchenko, Sergey V. Gonchenko. 2014-10-21. On bifurcations of area-preserving and non-orientable maps with quadratic homoclinic tangencies. https://doi.org/10.1134/s1560354714060082

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