The experimental localization of Aubry–Mather sets using regularization techniques inspired by viscosity theory

DOI10.1063/1.2756264zbMath1163.37330arXiv1207.4897OpenAlexW2054180556WikidataQ81368869 ScholiaQ81368869MaRDI QIDQ3636593

Olga Bernardi, Massimilliano Guzzo, Franco Cardin

Publication date: 1 July 2009

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science, Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.4897

zbMATH Keywords

ergodic theoryHamiltonian perturbation theoryapproximated first integralsstochastic regularization techniques

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Generation, random and stochastic difference and differential equations (37H10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (3)

Some aspects of conservative and dissipative KAM theorems ⋮ A PDE Approach to Finite Time Indicators in Ergodic Theory ⋮ Breakdown of invariant attractors for the dissipative standard map

Cites Work

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