Dynamics near an isolated \(\tilde M\)-semi-static homoclinic orbit

DOI10.1016/J.JMAA.2007.08.052zbMath1160.37391OpenAlexW1974295131MaRDI QIDQ2470481

Xiaojun Cui

Publication date: 14 February 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.08.052

zbMATH Keywords

periodic orbithomoclinic orbitaubry set

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Cites Work

• Unnamed Item
• On \(\widetilde {M}\)-semi-static homoclinic orbits
• Action minimizing invariant measures for positive definite Lagrangian systems
• Variational construction of connecting orbits
• Existence of infinitely many homoclinic orbits to Aubry sets for positive definite Lagrangian systems
• Differentiability of the minimal average action as a function of the rotation number
• Generic properties and problems of minimizing measures of Lagrangian systems
• An approach to arnold's diffusion through the calculus of variations

This page was built for publication: Dynamics near an isolated \(\tilde M\)-semi-static homoclinic orbit