KAM-stable Hamiltonians
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Publication:1972694
DOI10.1007/BF02269374zbMath0951.37038MaRDI QIDQ1972694
Publication date: 13 April 2000
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Nearly integrable Hamiltonian systems, KAM theory (70H08)
Related Items (47)
Persistence of invariant tori in infinite-dimensional Hamiltonian systems ⋮ Whitney smooth families of invariant tori within the reversible context 2 of KAM theory ⋮ Persistence of invariant tori in integrable Hamiltonian systems under almost periodic perturbations ⋮ Two-dimensional invariant tori in the neighborhood of an elliptic equilibrium of Hamiltonian 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 ⋮ Persistence of the hyperbolic lower dimensional non-twist invariant torus in a class of Hamiltonian systems ⋮ Nekhoroshev and KAM stabilities in generalized Hamiltonian systems ⋮ On invariant tori with prescribed frequency in Hamiltonian systems ⋮ Invariant tori with prescribed frequency for nearly integrable hamiltonian systems ⋮ Hamiltonian and reversible systems with smooth families of invariant tori ⋮ Unnamed Item ⋮ Integrability of nonholonomically coupled oscillators ⋮ On the linearization of vector fields on a torus with prescribed frequency ⋮ On invariant tori of nearly integrable Hamiltonian systems with quasiperiodic perturbation ⋮ Unnamed Item ⋮ Gevrey regularity of invariant curves of analytic reversible mappings ⋮ Invariant tori in Hamiltonian systems with high order proper degeneracy ⋮ KAM in generalized Hamiltonian systems with multi-scales ⋮ On the optimal effective stability bounds for quasi-periodic tori of finitely differentiable and Gevrey Hamiltonians ⋮ A formal KAM theorem for Hamiltonian systems and its application to hyperbolic lower dimensional invariant tori ⋮ Nosé-thermostated mechanical systems on the \(n\)-torus ⋮ On the reducibility for a class of quasi-periodic Hamiltonian systems with small perturbation parameter ⋮ Melnikov's conditions in matrices ⋮ KAM-tori near an analytic elliptic fixed point ⋮ Invariant hyperbolic tori for Hamiltonian systems with Rüssmann nondegeneracy conditions ⋮ Isolated elliptic fixed points for smooth Hamiltonians ⋮ The hyperbolic invariant tori of symplectic mappings ⋮ Diophantine vectors in analytic submanifolds of Euclidean spaces ⋮ Gevrey smoothness of families of invariant curves for analytic area preserving mappings ⋮ Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems ⋮ Persistence of invariant torus in Hamiltonian systems with two-degree of freedom ⋮ Multiscale KAM theorem for Hamiltonian systems ⋮ Existence of 3-dimensional tori for 1D complex Ginzburg-Landau equation via a degenerate KAM theorem ⋮ Persistence of the non-twist torus in nearly integrable hamiltonian systems ⋮ Persistence of hyperbolic tori in Hamiltonian systems ⋮ A point-wise criterion for quasi-periodic motions in the KAM theory ⋮ The finite-dimensional reversible KAM theory ⋮ The classical KAM theorem for Hamiltonian systems via rational approximations ⋮ A Casimir preserving scheme for long-time simulation of spherical ideal hydrodynamics ⋮ Persistence of Lagrange invariant tori at tangent degeneracy ⋮ More on stochastic and variational approach to the Lax-Friedrichs scheme ⋮ Iso-manifold KAM persistence ⋮ Unnamed Item ⋮ Invariant-tori-like Lagrangian coherent structures in geophysical flows ⋮ The existence of partially localized periodic-quasiperiodic solutions and related KAM-type results for elliptic equations on the entire space ⋮ Persistence of lower-dimensional tori under the first Melnikov's non-resonance condition
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