Bounds on the trajectories of a system of weakly coupled rotators

DOI10.1007/BF01210790zbMath0615.70013OpenAlexW2141676758MaRDI QIDQ1820610

C. Eugene Wayne

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01210790

zbMATH Keywords

phase spaceintegrable systeminitial conditionsone-dimensional latticecanonical change of variablessystem of weakly coupled rotatorsunperturbed rotators

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (5)

On the elimination of non-resonance harmonics ⋮ Self-synchronization of coupled oscillators with hysteretic responses ⋮ Construction of analytic KAM-surfaces and effective stability bounds ⋮ Small divisors with spatial structure in infinite dimensional Hamiltonian systems ⋮ Unnamed Item

Cites Work

• The KAM theory of systems with short range interactions. I
• On the elimination of non-resonance harmonics
• A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• Unnamed Item

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