An asymptotic analysis of the 1:3:4 Hamiltonian normal form

DOI10.1016/S0167-2789(96)00138-8zbMath0900.70215OpenAlexW2087643034MaRDI QIDQ2563829

Yanyan Li

Publication date: 18 December 1996

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(96)00138-8

zbMATH Keywords

adiabatic invariantaction-angle transformationnear-identity averaging transformation

Mathematics Subject Classification ID

Hamilton's equations (70H05) Normal forms for dynamical systems (37G05)

Cites Work

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• Chaos in the 1:2:3 Hamiltonian normal form
• Regular and chaotic dynamics.
• Hamiltonian systems in \(1:2:\omega\)-resonance (\(\omega=5\) or 6)
• Asymptotic analysis of a class of three-degree-of-freedom Hamiltonian systems near stable equilibria
• Asymptotic Integrability and Periodic Solutions of a Hamiltonian System in $1:2:2$-Resonance
• Non-integrability of the 1:1:2–resonance
• First-order resonances in three-degrees-of-freedom systems
• Perturbation Techniques for Oscillatory Systems with Slowly Varying Coefficients
• Sustained Resonance in very Slowly Varying Oscillatory Hamiltonian Systems
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• Averaging methods in nonlinear dynamical systems
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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