When are the invariant submanifolds of symplectic dynamics Lagrangian?

Author:

Arnaud Marie-Claude,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference15 articles.

1. Fibrés de Green et régularité des graphes $C^0$-lagrangiens invariants par un flot de Tonelli,;M.-C. Arnaud;(French) [Green fibrations and regularity of $C^0$-Lagrangian graphs invariant under a Tonelli flow],2008

2. On a theorem due to Birkhoff,;M.-C. Arnaud;Geometric and Functional Analysis,2010

3. Ergodic problems of classical mechanics,;V. Arnol'd;Translated from the French by A. Avez. W. A. Benjamin,1968

4. The dynamics of pseudographs in convex Hamiltonian systems,;P. Bernard;J. Amer. Math. Soc.,2008

5. A geometric definition of the Ma-Mather set and a theorem of Marie-Claude Arnaud,;P. Bernard;Math. Proc. Cambridge Philos. Soc.,2012

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the $$C^1$$ and $$C^2$$-Convergence to Weak K.A.M. Solutions;Communications in Mathematical Physics;2022-04-04

2. On the graph theorem for Lagrangian minimizing tori;Discrete & Continuous Dynamical Systems - A;2018

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