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Topological method for symmetric periodic orbits for maps with a reversing symmetry

D. Wilczak·P. Zgliczynski
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Abstract

We present a topological method of obtaining the existence of infinite number of symmetric periodic orbits for systems with reversing symmetry. The method is based on covering relations. We apply the method to a four-dimensional reversible map.

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D. Wilczak, P. Zgliczynski. 2004-01-14. Topological method for symmetric periodic orbits for maps with a reversing symmetry. https://arxiv.org/abs/math/0401145

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