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math.DS2004★ 3 cited
Topological method for symmetric periodic orbits for maps with a reversing symmetry
D. Wilczak, P. Zgliczynski
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 rela…
math.DS2003
Covering Relations and Non-autonomous Perturbations of ODEs
Maciej Capinski, Piotr Zgliczynski
Covering relations are a topological tool for detecting periodic orbits, symbolic dynamics and chaotic behavior for autonomous ODE. We extend the method of the covering relations o…