Nonlinear coupled oscillators: Modal equation approach

DOI10.1016/0021-9991(73)90169-1zbMath0258.65114OpenAlexW2056698988MaRDI QIDQ2559916

John R. Pasta, N. Metropolis, R. L. Bivins

Publication date: 1973

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://www.osti.gov/biblio/4651404

Mathematics Subject Classification ID

Applications to the sciences (65Z05)

Related Items (12)

The anti-Fermi–Pasta–Ulam–Tsingou problem in one-dimensional diatomic lattices ⋮ Recurrence phase shift in Fermi-Pasta-Ulam nonlinear dynamics ⋮ Parametric instabilities in the discrete sine-Gordon equation ⋮ Lindstedt series solutions of the Fermi-Pasta-Ulam lattice ⋮ Low-dimensional \(q\)-tori in FPU lattices: dynamics and localization properties ⋮ Behavior and breakdown of higher-order Fermi-Pasta-Ulam-Tsingou recurrences ⋮ The Fermi–Pasta–Ulam problem: Fifty years of progress ⋮ Energy thresholds of discrete breathers in thermal equilibrium and relaxation processes ⋮ Chaos and the approach to equilibrium in a discrete sine-Gordon equation ⋮ Exact solutions in the FPU oscillator chain ⋮ Symmetric invariant manifolds in the Fermi-Pasta-Ulam lattice ⋮ Chaotic transport and integrable instabilities in a near-integrable, many-particle, Hamiltonian lattice

Cites Work

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• Equipartition of Energy for Nonlinear Systems
• Methods of numerical integration applied to a system having trivial function evaluations
• Nonlinear Coupled Oscillators. II. Comparison of Theory with Computer Solutions
• Exact Solution for the Vibrations of a Nonlinear Continuous Model String

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