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arXiv · 1112.4276

Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points

Sergey Kryzhevich·Sergei Pilyugin
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Abstract

We study dynamics in a neighborhood of a nonhyperbolic fixed point or an irreducible homoclinic tangent point. General type conditions for the existence of infinite sets of periodic points are obtained. A new method, based on the study of the dynamics of center disks, is introduced. Some results on shadowing near a non-hyperbolic fixed point of a homeomorphism are obtained.

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Sergey Kryzhevich, Sergei Pilyugin. 2011-12-19. Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points. https://arxiv.org/abs/1112.4276

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