Unfoldings of quasi-periodic tori in reversible systems
From MaRDI portal
Publication:1347235
DOI10.1007/BF02218818zbMath0820.58050OpenAlexW1986507099MaRDI QIDQ1347235
Publication date: 4 April 1995
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02218818
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic and quasi-periodic flows and diffeomorphisms (37C55)
Related Items
Whitney smooth families of invariant tori within the reversible context 2 of KAM theory ⋮ The iteration-approximation decoupling in the reversible KAM theory ⋮ A new KAM theorem for the hyperbolic lower dimensional tori in reversible systems ⋮ Partial preservation of frequencies and Floquet exponents in KAM theory ⋮ A new KAM iteration with nearly infinitely small steps in reversible systems of polynomial character ⋮ A proof of the isoenergetic KAM-theorem from the ``ordinary one ⋮ On invariant tori with prescribed frequency in Hamiltonian systems ⋮ On the persistence of degenerate lower-dimensional tori in reversible systems ⋮ KAM theory: The legacy of Kolmogorov's 1954 paper ⋮ Lagrangian coherent structures at the onset of hyperchaos in the two-dimensional Navier-Stokes equations ⋮ On Jupiter and his Galilean satellites: librations of de Sitter's periodic motions ⋮ Normal linear stability of quasi-periodic tori ⋮ Non-Floquet invariant tori in reversible systems ⋮ Degenerate lower dimensional invariant tori in reversible system ⋮ Partial preservation of frequencies and Floquet exponents of invariant tori in the reversible KAM context 2 ⋮ Hamiltonian and reversible systems with smooth families of invariant tori ⋮ Unnamed Item ⋮ Algebraic-geometry approach to integrability of birational plane mappings. Integrable birational quadratic reversible mappings. I ⋮ On the linearization of vector fields on a torus with prescribed frequency ⋮ Persistence of degenerate lower dimensional invariant tori with prescribed frequencies in reversible systems ⋮ Gevrey regularity of invariant curves of analytic reversible mappings ⋮ Quantitative quasiperiodicity ⋮ THE QUASI-PERIODIC REVERSIBLE HOPF BIFURCATION ⋮ Existence of invariant curves with prescribed frequency for degenerate area preserving mappings ⋮ The reversible context 2 in KAM theory: the first steps ⋮ Quasi-periodic bifurcations in reversible systems ⋮ Persistence of lower dimensional tori for a class of nearly integrable reversible systems ⋮ Families of invariant tori in KAM theory: interplay of integer characteristics ⋮ Persistence of lower dimensional invariant tori in a class of reversible systems ⋮ Quasi-periodic perturbations within the reversible context 2 in KAM theory ⋮ Non-degeneracy conditions in KAM theory ⋮ Degenerate lower dimensional tori in reversible systems ⋮ KAM-stable Hamiltonians ⋮ On the persistence of lower-dimensional tori in reversible systems with hyperbolic-type degenerate equilibrium point under small perturbations ⋮ Gevrey smoothness of families of invariant curves for analytic area preserving mappings ⋮ A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems ⋮ Perturbations of lower dimensional tori in the resonant zone for reversible systems ⋮ From the physics of interacting polymers to optimizing routes on the London Underground ⋮ The finite-dimensional reversible KAM theory ⋮ Quasi-periodic stability of normally resonant tori ⋮ The quasi-periodic centre-saddle bifurcation ⋮ A note on Gevrey regular KAM theory and the inverse approximation lemma ⋮ On the persistence of lower-dimensional tori in reversible systems with high dimensional degenerate equilibrium under small perturbations ⋮ The existence of partially localized periodic-quasiperiodic solutions and related KAM-type results for elliptic equations on the entire space ⋮ Completely degenerate lower-dimensional invariant tori in reversible systems ⋮ Persistence of multi-dimensional degenerate hyperbolic lower dimensional invariant tori in reversible systems ⋮ On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems
Cites Work
- Unnamed Item
- Unnamed Item
- Invariant m-dimensional tori of reversible systems with phase space of dimension greater than 2m
- Bifurcation of quasi-periodic solutions from equilibrium points of reversible dynamical systems
- Reversible systems
- Reversible linear reversible systems and their versal deformations
- A normally elliptic Hamiltonian bifurcation
- Convergent series expansions for quasi-periodic motions
- Stable and Random Motions in Dynamical Systems
- Integrability of hamiltonian systems on cantor sets
- Lower-dimensional tori in reversible systems
- New cases of quasiperiodic motions in reversible systems
- KAM theorems for the product of two involutions of different types
- On the Theory of Quasiperiodic Motions
- ON MATRICES DEPENDING ON PARAMETERS
- Unfoldings and bifurcations of quasi-periodic tori
This page was built for publication: Unfoldings of quasi-periodic tori in reversible systems
