On \(\widetilde {M}\)-semi-static homoclinic orbits

DOI10.1016/j.jmaa.2006.09.041zbMath1112.37049OpenAlexW2027881095MaRDI QIDQ878465

Xiaojun Cui, Xia Li

Publication date: 26 April 2007

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.2006.09.041

zbMATH Keywords

homoclinic orbitsLagrangian systemsAubry sets

Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items

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

Cites Work

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• Action minimizing invariant measures for positive definite Lagrangian systems
• Variational construction of connecting orbits
• Connecting orbits between static classes for generic Lagrangian systems
• On Aubry sets and Mather's action functional
• Connecting orbits of time dependent Lagrangian systems
• Existence of infinitely many homoclinic orbits to Aubry sets for positive definite Lagrangian systems
• Symbolic dynamics near minimal hyperbolic invariant tori of Lagrangian systems
• Generic properties and problems of minimizing measures of Lagrangian systems
• Total disconnectedness of the quotient Aubry set in low dimensions

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