Computer assisted proof of drift orbits along normally hyperbolic manifolds II: Application to the restricted three body problem

Author:

Capiński Maciej J.ORCID,Wodka-Cholewa Natalia

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis

Reference23 articles.

1. Instability of dynamical systems with many degrees of freedom;Arnol’d;Dokl Akad Nauk SSSR,1964

2. Geometric properties of the scattering map of a normally hyperbolic invariant manifold;Delshams;Adv Math,2008

3. Poincaré-Mel’nikov-Arnol’d method for analytic planar maps;Delshams;Nonlinearity,1996

4. A general mechanism of diffusion in Hamiltonian systems: qualitative results;Gidea;Comm Pure Appl Math,2020

5. A general mechanism of instability in Hamiltonian systems: skipping along a normally hyperbolic invariant manifold;Gidea;Discrete Contin Dyn Syst,2020

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