Superexponential stability of KAM tori.
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Publication:1593204
DOI10.1007/BF02180145zbMath1080.37512MaRDI QIDQ1593204
Alessandro Morbidelli, Antonio Giorgilli
Publication date: 16 January 2001
Published in: Journal of Statistical Physics (Search for Journal in Brave)
exponential stabilityKAM theoryHamiltonian dynamical systemsArnold stabilityclassical perturbation theory
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Cites Work
- Stability of motions near resonances in quasi-integrable Hamiltonian systems
- Quantitative perturbation theory by successive elimination of harmonics
- Nekhoroshev estimates for quasi-convex Hamiltonian systems
- KAM tori are very sticky: Rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow
- Regular and stochastic motion
- A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems
- AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
- PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
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