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Energy-recurrence breakdown and chaos in disordered Fermi-Pasta-Ulam-Tsingou lattices

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Publication:2679910
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DOI10.1016/j.chaos.2022.112850OpenAlexW4308704906MaRDI QIDQ2679910

Yanyan Li

Publication date: 26 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.05644


zbMATH Keywords

chaosblow upbifurcation analysismaximum Lyapunov exponentmultiple-scale expansionsmaller alignment indexFermi-Pasta-Ulam-Tsingou Hamiltoniantwo normal-mode approximation


Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)




Cites Work

  • Unnamed Item
  • On metastability in FPU
  • Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
  • Exponentially long times to equipartition in the thermodynamic limit
  • Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
  • First and second sound in disordered strongly nonlinear lattices: numerical study
  • The Fermi–Pasta–Ulam problem: Fifty years of progress
  • Korteweg–de Vries equation and energy sharing in Fermi–Pasta–Ulam
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