2 papers
math.DS2024
Positive topological entropy of Tonelli Lagrangian flows
Gonzalo Contreras, José Antônio G. Miranda, Luiz Gustavo Perona
We study the topological entropy of the Lagrangian flow restricted to an energy level for . We prove that if the flow of the Tonelli Lagrangi…
math.DS2020
A note on Tonelli Lagrangian systems on with positive topological entropy on high energy level
J. G. Damasceno, J. A. G. Miranda, L. G. Perona
In this work we study the dynamical behavior Tonelli Lagrangian systems defined on the tangent bundle of the torus . We prove that the Lag…