A proof of the isoenergetic KAM-theorem from the ``ordinary one

DOI10.1016/0022-0396(91)90160-BzbMath0721.58020MaRDI QIDQ2640959

G. B. Huitema, Henk W. Broer

Publication date: 1991

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemstransversalitytheoremKAM-theoremisoenergetic

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Umbilical torus bifurcations in Hamiltonian systems, The iteration-approximation decoupling in the reversible KAM theory, A-posteriori KAM theory with optimal estimates for partially integrable systems, Invariant tori with prescribed frequency for nearly integrable hamiltonian systems, KAM theory: The legacy of Kolmogorov's 1954 paper, Existence of quasiperiodic solutions of elliptic equations on the entire space with a quadratic nonlinearity, Stability of Hamiltonian systems at high energy, Unnamed Item, Quasi-periodic bifurcations in reversible systems, Non-degeneracy conditions in KAM theory, Persistence of degenerate lower dimensional invariant tori in reversible systems with Bruno non-degeneracy conditions, KAM-stable Hamiltonians, Spectral monodromy of non-self-adjoint operators, A version of Thirring’s approach to the Kolmogorov–Arnold–Moser theorem for quadratic Hamiltonians with degenerate twist, On perturbed oscillators in 1-1-1 resonance: The case of axially symmetric cubic potentials

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