A numerical study of Arnold diffusion in a priori unstable systems

DOI10.1007/s00220-009-0846-9zbMath1185.37143OpenAlexW2075484486MaRDI QIDQ1048061

Claude Froeschlé, Elena Lega, Massimilliano Guzzo

Publication date: 11 January 2010

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-009-0846-9

zbMATH Keywords

Arnold diffusion

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (12)

Arnold diffusion in a priori chaotic symplectic maps ⋮ Arnold diffusion of charged particles in ABC magnetic fields ⋮ A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems ⋮ A numerical study of the stabilization effect of steepness ⋮ Semi-analytic computations of the speed of Arnold diffusion along single resonances in a priori stable Hamiltonian systems ⋮ Arnold Diffusion, Quantitative Estimates, and Stochastic Behavior in the <scp>Three‐Body</scp> Problem ⋮ Chirikov diffusion in the asteroidal three-body resonance \((5, - 2, - 2)\) ⋮ The numerical detection of the Arnold web and its use for long-term diffusion studies in conservative and weakly dissipative systems ⋮ A numerical study of the size of the homoclinic tangle of hyperbolic tori and its correlation with Arnold diffusion in Hamiltonian systems ⋮ A numerical study of the hyperbolic manifolds in a priori unstable systems. A comparison with Melnikov approximations ⋮ Global dynamics and diffusion in the rational standard map ⋮ First numerical investigation of a conjecture by N. N. Nekhoroshev about stability in quasi-integrable systems

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