Aubry sets vs. Mather sets in two degrees of freedom
From MaRDI portal
Publication:645003
DOI10.1007/s00526-011-0393-zzbMath1254.37043arXiv0803.2647OpenAlexW2061755456MaRDI QIDQ645003
Publication date: 8 November 2011
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0803.2647
periodic orbitstwo degrees of freedomAubry setMather setsminimizing periodic orbitsTonelli Lagrangian systems
Related Items
Mañé's conjectures in codimension 1, A dynamical condition for differentiability of Mather's average action, Global minimizers for Tonelli Lagrangians on the 2-torus
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Action minimizing invariant measures for positive definite Lagrangian systems
- Stable norms of non-orientable surfaces
- On the Conley decomposition of Mather sets
- Minimal measures and minimizing closed normal one-currents
- Variational construction of connecting orbits
- Stable norms of surfaces: local structure of the unit ball at rational directions
- On Aubry sets and Mather's action functional
- Existence of \(C^1\) critical subsolutions of the Hamilton-Jacobi equation
- On the minimal action function of autonomous Lagrangians associated to magnetic fields
- Physical solutions of the Hamilton-Jacobi equation
- Smooth critical sub-solutions of the Hamilton-Jacobi equation
- On the Hausdorff dimension of the mather quotient
- Convex Hamiltonians without conjugate points
- The gradient structure of a flow: I
- Orbites hétéroclines et ensemble de Peierls
- Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens
- Counting geodesics which are optimal in homology
- A Survey of partial differential equations methods in weak KAM theory
- On minimizing measures of the action of autonomous Lagrangians
- Convex Analysis
