Dynamics of Oscillator Chains

DOI10.1007/978-3-540-72995-2_2zbMath1375.82072OpenAlexW2107928915WikidataQ61763149 ScholiaQ61763149MaRDI QIDQ3529217

Marco Pettini, Stefano Ruffo, Roberto Livi, Allan J. Lichtenberg

Publication date: 20 October 2008

Published in: The Fermi-Pasta-Ulam Problem (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-72995-2_2

Mathematics Subject Classification ID

Hamilton's equations (70H05) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Nonlinear dynamics in mechanics (70K99) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Lattice dynamics; integrable lattice equations (37K60)

Related Items

The Fermi-Pasta-Ulam problem: scaling laws vs. initial conditions, Oscillations Under Hysteretic Conditions: From Simple Oscillator to Discrete Sine-Gordon Model, Extensive adiabatic invariants for nonlinear chains, The Fermi-pasta-Ulam problem and its underlying integrable dynamics: an approach through Lyapunov exponents, Nonlinear Dynamics of Torsion Lattices, Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction

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