Detection of Arnold diffusion in Hamiltonian systems

Author:

Lega Elena,Guzzo Massimiliano,Froeschlé Claude

Publisher

Elsevier BV

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference12 articles.

1. Proof of a theorem by A.N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian;Arnold;Russ. Math. Surv.,1963

2. Instability of dynamical systems with several degrees of freedom;Arnold;Sov. Math. Dokl.,1964

3. Upper bounds on Arnold diffusion time via Mather theory;Bessi;J. Math. Pures Appl.,2001

4. On the structure of symplectic mappings. The fast Lyapunov indicator: a very sensitive tool;Froeschlé;Celest. Mech. Dyn. Astron.,2000

5. An universal instability of many dimensional oscillator system;Chirikov;Phys. Rep.,1979

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