3 citations · 3 across the 2 of their papers we have counts for
3 papers
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…
math.AP2001
Trapping regions and an ODE-type proof of the existence and uniqueness theorem for Navier-Stokes equations with periodic boundary conditions on the plane
Piotr Zgliczynski
Using ODE-methods and trapping regions derived by Mattingly and Sinai we give a new proof of the existence and uniqueness of solutions to Navier-Stokes equations with periodic boun…