Non-Floquet invariant tori in reversible systems
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Publication:1661120
DOI10.3934/dcds.2018147zbMath1396.37065OpenAlexW2801124336WikidataQ129917280 ScholiaQ129917280MaRDI QIDQ1661120
Publication date: 16 August 2018
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2018147
Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbation theory of linear operators (47A55) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)
Related Items (2)
On the persistence of lower-dimensional tori in reversible systems with hyperbolic-type degenerate equilibrium point under small perturbations ⋮ On the persistence of lower-dimensional tori in reversible systems with high dimensional degenerate equilibrium under small perturbations
Cites Work
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- On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems
- Persistence of lower dimensional elliptic invariant tori for a class of nearly integrable reversible systems
- Persistence of lower dimensional tori for a class of nearly integrable reversible systems
- Degenerate lower dimensional tori in reversible systems
- Gevrey-smoothness of invariant tori for analytic reversible systems under Rüssmann's non-degeneracy condition
- Normal linear stability of quasi-periodic tori
- Invariant m-dimensional tori of reversible systems with phase space of dimension greater than 2m
- Time-reversal symmetry in dynamical systems: a survey
- Quasi-periodic stability of normally resonant tori
- Reversible systems
- On elliptic lower dimensional tori in Hamiltonian systems
- A KAM theorem for hyperbolic-type degenerate lower dimensional tori in Hamiltonian systems
- Perturbations of lower dimensional tori for Hamiltonian systems
- Nearly integrable infinite-dimensional Hamiltonian systems
- The reversibility of mechanical systems
- Unfoldings of quasi-periodic tori in reversible systems
- Persistence of elliptic lower dimensional invariant tori for small perturbation of degenerate integrable Hamiltonian systems
- A new KAM iteration with nearly infinitely small steps in reversible systems of polynomial character
- Quasi-periodic bifurcations in reversible systems
- Degenerate lower-dimensional tori in Hamiltonian systems
- Convergent series expansions for quasi-periodic motions
- On the conservation of hyperbolic invariant tori for Hamiltonian systems
- Quasi-periodic motions in families of dynamical systems. Order amidst chaos
- A lecture on the classical KAM theorem
- Persistence of lower dimensional tori of general types in Hamiltonian systems
- On the persistence of degenerate lower-dimensional tori in reversible systems
- THE QUASI-PERIODIC REVERSIBLE HOPF BIFURCATION
- Persistence of the non-twist torus in nearly integrable hamiltonian systems
- Generalized implicit function theorems with applications to some small divisor problems, I
- Generalized implicit function theorems with applications to some small divisor problems, II
- The iteration-approximation decoupling in the reversible KAM theory
- Normal Form of Reversible Systems and Persistence of Lower Dimensional Tori under Weaker Nonresonance Conditions
- Partial preservation of frequencies in KAM theory
- Perturbations of lower dimensional tori in the resonant zone for reversible systems
- On lower dimensional invariant tori in reversible systems
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