Tail resonances of Fermi-Pasta-Ulam q-breathers and their impact on the pathway to equipartition

DOI10.1063/1.2645141zbMath1159.37379arXivnlin/0610006OpenAlexW2049254486WikidataQ80575297 ScholiaQ80575297MaRDI QIDQ3624775

Sergej Flach, Tiziano Penati

Publication date: 30 April 2009

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0610006

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (11)

The zone boundary mode in periodic nonlinear electrical lattices ⋮ On the periodic orbits of four-particle time-dependent FPU chains ⋮ Packets of resonant modes in the Fermi-Pasta-Ulam system ⋮ Elliptic tori in FPU non-linear chains with a small number of nodes ⋮ Numerical studies on boundary effects on the FPU paradox ⋮ Low-dimensional \(q\)-tori in FPU lattices: dynamics and localization properties ⋮ The Fermi-Pasta-Ulam problem: periodic orbits, normal forms and resonance overlap criteria ⋮ Computation of periodic solutions in perturbed second-order ODEs ⋮ The β Fermi-Pasta-Ulam-Tsingou recurrence problem ⋮ Boundary effects on quantum \(q\)-breathers in a Bose-Hubbard chain ⋮ Stages of dynamics in the Fermi-Pasta-Ulam system as probed by the first Toda integral

Cites Work

• Stability of low-dimensional bushes of vibrational modes in the Fermi-Pasta-Ulam chains
• Local chaotic behaviour in the Fermi-Pasta-Ulam system
• Proof of Nishida's conjecture on anharmonic lattices
• On metastability in FPU
• Exact solutions in the FPU oscillator chain
• Localization of energy in FPU chains
• Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. II
• Symmetric invariant manifolds in the Fermi-Pasta-Ulam lattice
• On sums of roots of unity
• Exponentially long times to equipartition in the thermodynamic limit
• Metastability and dispersive shock waves in the Fermi-Pasta-Ulam system
• Low-energy chaos in the Fermi - Pasta - Ulam problem
• Discrete breathers in Fermi–Pasta–Ulam lattices
• Symmetry and resonance in periodic FPU chains

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