The KAM theory of systems with short range interactions. I

DOI10.1007/BF01214577zbMath0585.58023MaRDI QIDQ1070614

C. Eugene Wayne

Publication date: 1984

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

quasiperiodic trajectories(KAM) theorysmall perturbations of integrable Hamiltonian systems

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

On the elimination of non-resonance harmonics ⋮ Cnoidal waves on Fermi-Pasta-Ulam lattices ⋮ Scattering of radiation by a quasiperiodic two-dimensional medium ⋮ Construction of analytic KAM-surfaces and effective stability bounds ⋮ Small divisors with spatial structure in infinite dimensional Hamiltonian systems ⋮ Bounds on the trajectories of a system of weakly coupled rotators ⋮ Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems ⋮ The mathematics of asymptotic stability in the Kuramoto model

Cites Work

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• Absence of diffusion in the Anderson tight binding model for large disorder or low energy
• The KAM theory of systems with short range interactions. II
• Integrability of hamiltonian systems on cantor sets
• Scaling for a Critical Kolmogorov-Arnold-Moser Trajectory
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS