Attractors and repellers near generic elliptic points of reversible maps

Sergey Gonchenko; Jeroen Lamb; Isabel Rios; Dmitry Turaev

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arXiv · 1212.1931

Attractors and repellers near generic elliptic points of reversible maps

Sergey Gonchenko·Jeroen Lamb·Isabel Rios·Dmitry Turaev

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Abstract

We show that resonance zones near an elliptic periodic point of a reversible map must, generically, contain asymptotically stable and asymptotically unstable periodic orbits, along with wild hyperbolic sets.

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Sergey Gonchenko, Jeroen Lamb, Isabel Rios, Dmitry Turaev. 2012-12-09. Attractors and repellers near generic elliptic points of reversible maps. https://arxiv.org/abs/1212.1931

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