Dissipative and weakly-dissipative regimes in nearly-integrable mappings

DOI10.3934/dcds.2006.16.757zbMath1108.37033OpenAlexW2330553279MaRDI QIDQ862179

Elena Lega, Claude Froeschlé, Alessandra Celletti

Publication date: 5 February 2007

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2006.16.757

zbMATH Keywords

normal formweakly chaotic regimedissipative systemsweak dissipationfrequency analysisfast Lyapunov indicatorsperiodic attractorsnearly-integrable maps

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

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Periodic and quasi-periodic attractors of weakly-dissipative nearly-integrable systems ⋮ Quasi-periodic motions in a special class of dynamical equations with dissipative effects: a pair of detection methods ⋮ The numerical detection of the Arnold web and its use for long-term diffusion studies in conservative and weakly dissipative systems ⋮ Weakly Dissipative Systems in Celestial Mechanics ⋮ Breakdown of invariant attractors for the dissipative standard map

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