Elliptic tori in FPU non-linear chains with a small number of nodes

DOI10.1016/j.cnsns.2021.105759zbMath1462.37072arXiv2102.05908OpenAlexW3129150273MaRDI QIDQ2656830

Chiara Caracciolo, Ugo Locatelli

Publication date: 16 March 2021

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.05908

zbMATH Keywords

KAM theorynormal form methodsFPU problemperturbation theory for Hamiltonian systemslower-dimensional invariant tori

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems in classical and celestial mechanics (37N05) Numerical nonlinear stabilities in dynamical systems (65P40) Lattice dynamics; integrable lattice equations (37K60) Nearly integrable Hamiltonian systems, KAM theory (70H08) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (3)

Normal form for lower dimensional elliptic tori in Hamiltonian systems ⋮ Computer-assisted proofs of existence of KAM tori in planetary dynamical models of \(\upsilon\)-And \(\mathbf{b}\) ⋮ Continuation of spatially localized periodic solutions in discrete NLS lattices via normal forms

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