First numerical investigation of a conjecture by N. N. Nekhoroshev about stability in quasi-integrable systems
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Publication:5264316
DOI10.1063/1.3603819zbMath1317.37059OpenAlexW1968389978WikidataQ51525667 ScholiaQ51525667MaRDI QIDQ5264316
Elena Lega, Massimilliano Guzzo, Claude Froeschlé
Publication date: 27 July 2015
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3603819
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Nearly integrable Hamiltonian systems, KAM theory (70H08)
Related Items
The Nekhoroshev theorem and the observation of long-term diffusion in Hamiltonian 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 ⋮ The speed of Arnold diffusion ⋮ A counterexample to the theorem of Laplace-Lagrange on the stability of semimajor axes ⋮ Diffusion and drift in volume-preserving maps ⋮ On the chaotic diffusion in multidimensional 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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