A numerical study of the stabilization effect of steepness

DOI10.1007/s10569-011-9369-8zbMath1270.70060OpenAlexW1992211405MaRDI QIDQ362709

Elena Lega, Claude Froeschlé, Nataša Todorović, Massimilliano Guzzo

Publication date: 30 August 2013

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

Full work available at URL: https://doi.org/10.1007/s10569-011-9369-8

zbMATH Keywords

steepnessdiffusionHamiltonian systemsNekhoroshev theoremsymplectic maps

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Two-body problems (70F05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items

The Nekhoroshev theorem and the observation of long-term diffusion in Hamiltonian systems ⋮ Semi-analytic computations of the speed of Arnold diffusion along single resonances in a priori stable Hamiltonian systems ⋮ On the formulation of new explicit conditions for steepness from a former result of N.N. Nekhoroshev ⋮ On steepness of 3-jet non-degenerate functions ⋮ The numerical detection of the Arnold web and its use for long-term diffusion studies in conservative and weakly dissipative systems ⋮ The steep Nekhoroshev's theorem

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