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

2004/01/14 by Daniel Wilczak, D. Wilczak, Piotr Zgliczyński +3
Mathematics · Physics and Astronomy · #37C25 #37C80 #65G20 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS #msc:37C25 #msc:37C80 #msc:65G20

paper · pdf · doi:10.48550/arxiv.math/0401145

26 pages, 4 figures

arxiv created 2004/01/14 · openalex publication_date 2004/01/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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