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Publication:2925683
DOI10.1090/memo/1067zbMath1343.37043OpenAlexW4251013066MaRDI QIDQ2925683
A. González-Enríquez, Rafael de la Llave, Àlex Haro
Publication date: 17 October 2014
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/memo/1067
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
moment mapquasi-periodic bifurcationsLagrangian deformationsnon-twist toriparametric KAM theorysingularity theory for critical points of functions
Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)
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A-posteriori KAM theory with optimal estimates for partially integrable systems ⋮ Non-twist invariant circles in conformally symplectic systems ⋮ Existence of invariant curves for degenerate quasi-periodic reversible mappings ⋮ Partial preservation of frequencies and Floquet exponents of invariant tori in the reversible KAM context 2 ⋮ Existence of invariant curves for degenerate almost periodic reversible mappings ⋮ Local behavior near quasi-periodic solutions of conformally symplectic systems ⋮ Efficient and reliable algorithms for the computation of non-twist invariant circles ⋮ Rigorous computer-assisted application of KAM theory: a modern approach ⋮ Computation of quasiperiodic normally hyperbolic invariant tori: rigorous results ⋮ Tracing KAM tori in presymplectic dynamical systems ⋮ Some questions looking for answers in dynamical systems ⋮ Quasi-periodic motions on symplectic tori ⋮ Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems ⋮ Existence of invariant curves with prescribed frequency for degenerate area preserving mappings ⋮ Invariant curves of analytic reversible mappings under Brjuno-Rüssmann's non-resonant condition ⋮ A new approach to the parameterization method for Lagrangian tori of Hamiltonian systems ⋮ Orbit determination for standard-like maps: asymptotic expansion of the confidence region in regular zones ⋮ A new method to compute periodic orbits in general symplectic maps ⋮ A Parameterization Method for Lagrangian Tori of Exact Symplectic Maps of $R^2r$ ⋮ Flow map parameterization methods for invariant tori in Hamiltonian systems ⋮ Invariant manifolds of parabolic fixed points. I: Existence and dependence on parameters ⋮ Shearless transport barriers in unsteady two-dimensional flows and maps ⋮ THE ISOENERGETIC KAM-TYPE THEOREM AT RESONANT CASE fOR NEARLY INTEGRABLE HAMILTONIAN SYSTEMS ⋮ Quasi-Periodic Frequency Analysis Using Averaging-Extrapolation Methods
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