Some geometrical conditions for the existence of chaotic geodesics on a torus

DOI10.1017/S0143385702001037zbMath1021.37037OpenAlexW2099930975MaRDI QIDQ4800179

Paul H. Rabinowitz, Sergey V. Bolotin

Publication date: 9 October 2003

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385702001037

zbMATH Keywords

Lagrangian systemsheteroclinic and homoclinic geodesics

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Geodesics in global differential geometry (53C22) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (4)

\(C^0\)-robustness of topological entropy for geodesic flows ⋮ Characterization of geodesic flows on \(T^{2}\) with and without positive topological entropy ⋮ Speed selection for coupled wave equations ⋮ Chaotic dynamics of monotone twist maps

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