108 citations · 347 across the 26 of their papers we have counts for
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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.DS2003★ 60 cited
An existence of simple choreographies for N-body problem - a computer assisted proof
Tomasz Kapela, Piotr Zgliczynski
We consider a question of finding a periodic solution for the planar Newtonian N-body problem with equal masses, where each body is travelling along the same closed path. We provid…