Analytic destruction of invariant circles
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Publication:4300036
DOI10.1017/S0143385700007872zbMath0817.58018OpenAlexW2164104241MaRDI QIDQ4300036
Publication date: 13 August 1995
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0143385700007872
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Ergodic theory (37A99)
Related Items (11)
Destruction of Lagrangian torus for positive definite Hamiltonian systems ⋮ Some remarks on the optimality of the Bruno-R{\"u}ssmann condition ⋮ Response solutions for strongly dissipative quasi-periodically forced systems with arbitrary nonlinearities and frequencies ⋮ Response solutions for quasi-periodically forced harmonic oscillators ⋮ Viscosity solutions methods for converse KAM theory ⋮ Destruction of invariant circles for Gevrey area-preserving twist map ⋮ Regular dependence of the Peierls barriers on perturbations ⋮ A dichotomy theorem for minimizers of monotone recurrence relations ⋮ Quantitative destruction of invariant circles ⋮ Total destruction of invariant tori for the generalized Frenkel–Kontorova model ⋮ Continuity of the Peierls barrier and robustness of laminations
Cites Work
- Non-uniqueness of solutions of Percival's Euler-Lagrange equation
- A criterion for the non-existence of invariant circles
- Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
- KAM theory in configuration space
- Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
- Über die Häufigkeit der Nichtzentren
- On the standard map critical function
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