L. G. Perona

collaborators

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 $E_{L}^{- 1} (c) \subset T M$ for $c > e_{0} (L)$ . We prove that if the flow of the Tonelli Lagrangi…

math.DS2020

A note on Tonelli Lagrangian systems on $T^{2}$ 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 $T^{2} = R^{2} / Z^{2}$ . We prove that the Lag…

Positive topological entropy of Tonelli Lagrangian flows

A note on Tonelli Lagrangian systems on T2 with positive topological entropy on high energy level

A note on Tonelli Lagrangian systems on $T^{2}$ with positive topological entropy on high energy level