Computer assisted proof of drift orbits along normally hyperbolic manifolds

Author:

Capiński Maciej J.ORCID,Gonzalez JorgeORCID,Marco Jean-Pierre,Mireles James Jason D.

Funder

National Science Foundation

Narodowe Centrum Nauki

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis

Reference40 articles.

1. Symplectic geometry and analytical mechanics;Libermann,1987

2. The Lagrange Configuration in Celestial Mechanics;Littlewood;Proc London Math Soc (3),1959

3. An exponential estimate of the time of stability of nearly integrable Hamiltonian systems;Nehorošev;Uspehi Mat Nauk,1977

4. On conservation of conditionally periodic motions for a small change in Hamilton’s function;Kolmogorov;Dokl Akad Nauk SSSR (NS),1954

5. Proof of a theorem of A. N. Kolmogorov on the preservation of conditionally periodic motions under a small perturbation of the Hamiltonian;Arnold́;Uspehi Mat Nauk,1963

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