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math.DS2022
On the tree models of mildly dissipative maps
Javier Correa, Elizabeth Flores
This study examines the tree models of mildly dissipative diffeomorphisms on the disk $\D$. These models are one-dimensional dynamical systems with ergodic aperiodic data as well a…
math.DS2022
Polynomial entropy of Morse-Smale diffeomorphisms on surfaces
Javier Correa, Hellen de Paula
A classical problem in dynamical systems is to measure the complexity of a map in terms of their orbits. One of the main tools we have to achieve this goal is entropy. However, man…