2 papers
math.DS2025
No infinite spin for partial collisions converging to isolated central configurations on the plane
Anna Gierzkiewicz, Rodrigo G. Schaefer, Piotr ZgliczyÅski
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 …
math.DS2025
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…