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math.DS2024
Sharkovskii theorem for infinite dimensional dynamical systems
Anna Gierzkiewicz, Robert Szczelina
We present an adaptation of a relatively simple topological argument to show the existence of many periodic orbits in an infinite dimensional dynamical system, provided that the sy…
math.DS2024
No infinite spin for partial collisions converging to isolated central configurations on the plane
Anna Gierzkiewicz, Rodrigo G. Schaefer, Piotr Zgliczyński
In the -body problem, when a~cluster of bodies tends to a collision, then its normalized shape curve converges to the set of normalized central configurations, which has …