Integrable Hamiltonian systems with positive topological entropy

DOI10.1016/j.bulsci.2008.12.001zbMath1194.34015OpenAlexW1999909793MaRDI QIDQ1046486

J. Blot

Publication date: 22 December 2009

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2008.12.001

zbMATH Keywords

Riemannian manifoldtopological entropyHamiltonian systemKilling tensororthogonal separable

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamics induced by flows and semiflows (37C10) Topological entropy (37B40) Flows on surfaces (37E35)

Related Items (2)

Entropy-expansiveness of geodesic flows on closed manifolds without conjugate points ⋮ Integrable natural Hamiltonian systems on the suspensions of toric automorphism

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extended integrability and bi-Hamiltonian systems
• Geodesic flows
• Integrable geodesic flows with positive topological entropy
• Orthogonal separable Hamiltonian systems on \(T^{2}\)
• TOPOLOGICAL OBSTRUCTIONS TO INTEGRABILITY OF GEODESIC FLOWS ON NON-SIMPLY-CONNECTED MANIFOLDS
• Killing Tensors and Variable Separation for Hamilton-Jacobi and Helmholtz Equations

This page was built for publication: Integrable Hamiltonian systems with positive topological entropy