Invariant curves for area-preserving twist maps far from integrable
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Publication:1279300
DOI10.1007/BF01053746zbMath0943.37509OpenAlexW1993961866MaRDI QIDQ1279300
Luigi Chierchia, Alessandra Celletti
Publication date: 4 September 2000
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01053746
Hamilton's equations (70H05) Qualitative theory for ordinary differential equations (34C99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)
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The existence of Siegel disks for the Cremona map ⋮ The measure of chaos by the numerical analysis of the fundamental frequencies. Applications to the standard mapping ⋮ A rigorous partial justification of Greene's criterion ⋮ The experimental localization of Aubry–Mather sets using regularization techniques inspired by viscosity theory
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