The Aubry set for periodic Lagrangians on the circle

DOI10.1007/s00574-009-0012-1zbMath1175.37068OpenAlexW2079168287MaRDI QIDQ732769

Osvaldo Osuna

Publication date: 15 October 2009

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-009-0012-1

zbMATH Keywords

beta functionAubry setminimizing measures

Mathematics Subject Classification ID

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Cites Work

• Action minimizing invariant measures for positive definite Lagrangian systems
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• Monotone twist mappings and the calculus of variations
• Convex Hamiltonians without conjugate points
• Differentiability of the minimal average action as a function of the rotation number
• On the minimizing measures of Lagrangian dynamical systems
• Generic properties and problems of minimizing measures of Lagrangian systems
• Vertices of Mather's beta function