Stability of nonlinear modes and chaotic properties of 1D Fermi-Pasta-Ulam lattices

DOI10.1016/0167-2789(83)90236-1zbMath0541.70027OpenAlexW2074750638MaRDI QIDQ794463

Nurit Budinsky, Tassos C. Bountis

Publication date: 1983

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(83)90236-1

zbMATH Keywords

local stabilityvariational equationsnonlinear modesglobal chaotic propertiesone-dimensional, N-particle FPU lattices

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Nonlinear resonances for nonlinear problems in mechanics (70K30) Classical field theories (70Sxx)

Related Items (13)

DISCRETE SYMMETRY AND STABILITY IN HAMILTONIAN DYNAMICS ⋮ CHAOTIC DYNAMICS OF N-DEGREE OF FREEDOM HAMILTONIAN SYSTEMS ⋮ Strong stochasticity threshold in some anharmonic lattices ⋮ Tangent bifurcation of band edge plane waves, dynamical symmetry breaking and vibrational localization ⋮ Quantum dynamics in the Fermi-Pasta-Ulam problem ⋮ Dynamics of Oscillator Chains ⋮ Generalized instability of periodic traveling waves in anharmonic monatomic chains. ⋮ Moving discrete breathers in nonlinear lattice: resonance and stability ⋮ The Fermi–Pasta–Ulam problem: Fifty years of progress ⋮ Stability of low-dimensional bushes of vibrational modes in the Fermi-Pasta-Ulam chains ⋮ Isochronism and tangent bifurcation of band edge modes in Hamiltonian lattices ⋮ Exact solutions in the FPU oscillator chain ⋮ Symmetric invariant manifolds in the Fermi-Pasta-Ulam lattice

Cites Work

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• Numerical study of the stochasticity of dynamical systems with more than two degrees of freedom
• An Application of the Poincare´ Map to the Stability of Nonlinear Normal Modes
• Regular and irregular semiclassical wavefunctions
• On the Stability of Periodic Orbits for Nonlinear Oscillator Systems in Regions Exhibiting Stochastic Behavior

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