A numerical study of the hyperbolic manifolds in a priori unstable systems. A comparison with Melnikov approximations

DOI10.1007/s10569-010-9265-7zbMath1291.70063OpenAlexW2029889371MaRDI QIDQ990343

Claude Froeschlé, Elena Lega, Massimilliano Guzzo

Publication date: 31 August 2010

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-010-9265-7

zbMATH Keywords

diffusion coefficienthyperbolic chaosFLI

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (9)

Three-dimensional representations of the tube manifolds of the planar restricted three-body problem ⋮ The dynamical structure of the MEO region: long-term stability, chaos, and transport ⋮ Geometric chaos indicators and computations of the spherical hypertube manifolds of the spatial circular restricted three-body problem ⋮ A numerical study of the stabilization effect of steepness ⋮ The speed of Arnold diffusion ⋮ Chaotic coexistence of librational and rotational dynamics in the averaged planar three-body problem ⋮ Chirikov and Nekhoroshev diffusion estimates: bridging the two sides of the river ⋮ COMPARATIVE STUDY OF VARIATIONAL CHAOS INDICATORS AND ODEs' NUMERICAL INTEGRATORS ⋮ CHAOTIC DIFFUSION IN MULTIDIMENSIONAL CONSERVATIVE MAPS

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