Near-Integrability and Recurrence in FPU-Cells

DOI10.1142/S0218127416502308zbMath1357.37079MaRDI QIDQ2969072

Ferdinand Verhulst

Publication date: 14 March 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Hamiltonianresonancequasi-trappingFPU-chain

Mathematics Subject Classification ID

Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items

Near-integrability and recurrence in FPU chains with alternating masses ⋮ Henri Poincaré's neglected ideas ⋮ Interaction of Lower and Higher Order Hamiltonian Resonances ⋮ The inhomogeneous Fermi-Pasta-Ulam chain, a case study of the \(1:2:3\) resonance ⋮ Recurrence and resonance in the cubic Klein-Gordon equation

Cites Work

• The inhomogeneous Fermi-Pasta-Ulam chain, a case study of the \(1:2:3\) resonance
• Chaos in the 1:2:3 Hamiltonian normal form
• Near-integrability of periodic FPU-chains
• Averaging methods in nonlinear dynamical systems
• Symmetry and resonance in periodic FPU chains

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