Whitney smooth families of invariant tori within the reversible context 2 of KAM theory
DOI10.1134/S1560354716060022zbMath1369.70044arXiv1605.02586MaRDI QIDQ2361631
Publication date: 30 June 2017
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.02586
reversible systemsKAM theoryinvariant toriBroer-Ciocci-Hanßmann-Vanderbauwhede theoremreversible context 2Whitney smooth families
Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)
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Cites Work
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- A reversible Nekhoroshev theorem for persistence of invariant tori in systems with symmetry
- On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems
- The parameterization method for invariant manifolds. From rigorous results to effective computations
- A new KAM theorem for the hyperbolic lower dimensional tori in reversible systems
- KAM for PDEs
- Quasi-periodic perturbations within the reversible context 2 in KAM theory
- A parametrised version of Moser's modifying terms theorem
- Non-degeneracy conditions in KAM theory
- The Poincaré-Lyapounov-Nekhoroshev theorem
- Gevrey-smoothness of invariant tori for analytic reversible systems under Rüssmann's non-degeneracy condition
- Local and semi-local bifurcations in Hamiltonian dynamical systems. Results and examples
- Normal linear stability of quasi-periodic tori
- Time-reversal symmetry in dynamical systems: a survey
- The finite-dimensional reversible KAM theory
- Quasi-periodic stability of normally resonant tori
- Construction of invariant whiskered tori by a parameterization method. I: Maps and flows in finite dimensions
- Reversible linear reversible systems and their versal deformations
- The quasi-periodic centre-saddle bifurcation
- Unfoldings of quasi-periodic tori in reversible systems
- Invariant tori, effective stability, and quasimodes with exponentially small error terms. I: Birkoff normal forms
- Invariant tori in non-degenerate nearly integrable Hamiltonian systems
- The Poincaré-Lyapunov-Liouville-Arnol'd theorem
- Versal deformations and normal forms for reversible and Hamiltonian linear systems
- KAM-stable Hamiltonians
- Quasi-periodic solutions for fully nonlinear forced reversible Schrödinger equations
- Partial preservation of frequencies and Floquet exponents in KAM theory
- The reversible context 2 in KAM theory: the first steps
- Quasi-periodic bifurcations in reversible systems
- Invariant tori in quasi-periodic non-autonomous dynamical systems via Herman's method
- A KAM theorem for reversible systems of infinite dimension
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- Convergent series expansions for quasi-periodic motions
- Addendum to ``Invariant tori in non-degenerate nearly integrable Hamiltonian systems
- On the persistence of degenerate lower-dimensional tori in reversible systems
- Bifurcation of spatially quasi-periodic solutions in hydrodynamic stability problems
- KAM tori: persistence and smoothness
- An Overview on the Nekhoroshev Theorem
- AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
- A note on Gevrey regular KAM theory and the inverse approximation lemma
- The iteration-approximation decoupling in the reversible KAM theory
- KAM theory for lower dimensional tori within the reversible context 2
- The KAM Story
- Partial preservation of frequencies in KAM theory
- Combination tones for Duffing's equation
- On the Theory of Quasiperiodic Motions
- ON MATRICES DEPENDING ON PARAMETERS
- LECTURES ON BIFURCATIONS IN VERSAL FAMILIES
- Unfoldings and bifurcations of quasi-periodic tori
- Perturbations of lower dimensional tori in the resonant zone for reversible systems
- On lower dimensional invariant tori in reversible systems
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