A numerical study of the stabilization effect of steepness
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Publication:362709
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
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)
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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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