An Extension of Greene's Criterion for Conformally Symplectic Systems and a Partial Justification

DOI10.1137/130929369zbMath1341.37031OpenAlexW2166420710MaRDI QIDQ2927855

Alessandra Celletti, Corrado Falcolini, Rafael de la Llave, Renato C. Calleja

Publication date: 4 November 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f62c92939a1137cbdc93d4eb21d1cf7b7726e9bf

zbMATH Keywords

Arnold tonguesconformally symplectic systemsGreene's method

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Universality and renormalization of dynamical systems (37E20) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items (8)

Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems ⋮ Accurate computations up to breakdown of quasi-periodic attractors in the dissipative spin-orbit problem ⋮ Diverging period and vanishing dissipation: families of periodic sinks in the quasi-conservative case ⋮ Breakdown of rotational tori in 2D and 4D conservative and dissipative standard maps ⋮ A numerical renormalization method for quasi-conservative periodic attractors ⋮ Global transport in a nonautonomous periodic standard map ⋮ Existence of whiskered KAM tori of conformally symplectic systems ⋮ KAM quasi-periodic solutions for the dissipative standard map

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