Integrability and non-integrability of Hamiltonian normal forms

DOI10.1007/s10440-014-9998-5zbMath1371.37117OpenAlexW2145084937MaRDI QIDQ2346550

Ferdinand Verhulst

Publication date: 2 June 2015

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-014-9998-5

zbMATH Keywords

time seriesnormal formHamiltonian systemnon-integrabilityHamiltonian chain

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Time series analysis of dynamical systems (37M10) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)

Related Items (9)

Periodic Klein-Gordon chains with three particles in 1:2:2 resonance ⋮ Near-integrability of low-dimensional periodic Klein-Gordon lattices ⋮ On the integrability of Hamiltonian 1:2:2 resonance ⋮ On the integrability of twofold 1 : 2 Hamiltonian resonance ⋮ Nondegenerate Hamiltonian Hopf bifurcations in \(\omega:3:6\) resonance \((\omega=1\) or \(2)\) ⋮ The inhomogeneous Fermi-Pasta-Ulam chain, a case study of the \(1:2:3\) resonance ⋮ Regular and chaotic recurrence in FPU cell-chains ⋮ The coupled 1:2 resonance in a symmetric case and parametric amplification model ⋮ Perturbations of superintegrable systems

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• A degenerate bifurcation in the Hénon-Heiles family

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