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math.DS2017
Combinatorial approach to detection of fixed points, periodic orbits, and symbolic dynamics
Marian Gidea, Yitzchak Shmalo
We present a combinatorial approach to rigorously show the existence of fixed points, periodic orbits, and symbolic dynamics in discrete-time dynamical systems, as well as to find…
math.DS2017
Stability interchanges in a curved Sitnikov problem
Luis Franco-Pérez, Marian Gidea, Mark Levi +1
We consider a curved Sitnikov problem, in which an infinitesimal particle moves on a circle under the gravitational influence of two equal masses in Keplerian motion within a plane…