# American Institute of Mathematical Sciences

August  2007, 17(3): 629-652. doi: 10.3934/dcds.2007.17.629

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

 1 Jagiellonian University, Institute of Computer Science, Nawojki 11, 30-072 Kraków, Poland 2 Department of Computational Mathematics, Faculty of Computer Science, WSB – NLU, Zielona 27, 33-300 Nowy Sącz, Poland

Received  February 2006 Revised  June 2006 Published  December 2006

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.
Citation: Daniel Wilczak, Piotr Zgliczyński. Topological method for symmetric periodic orbits for maps with a reversing symmetry. Discrete and Continuous Dynamical Systems, 2007, 17 (3) : 629-652. doi: 10.3934/dcds.2007.17.629
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