On the elimination of non-resonance harmonics

DOI10.1007/BF01211753zbMath0596.58021MaRDI QIDQ1078864

C. Eugene Wayne

Publication date: 1986

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

zbMATH Keywords

Kolmogorov-Arnol'd- Moser iteration schemeweakly coupled Hamiltonian system with short range

Mathematics Subject Classification ID

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

Related Items (5)

Stability of motions near resonances in quasi-integrable Hamiltonian systems ⋮ Small divisors with spatial structure in infinite dimensional Hamiltonian systems ⋮ A Nekhoroshev-type theorem for Hamiltonian systems with infinitely many degrees of freedom ⋮ Bounds on the trajectories of a system of weakly coupled rotators ⋮ Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems

Cites Work

• Unnamed Item
• The KAM theory of systems with short range interactions. I
• The KAM theory of systems with short range interactions. II
• Bounds on the trajectories of a system of weakly coupled rotators
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS

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