Lindstedt series solutions of the Fermi-Pasta-Ulam lattice

DOI10.1063/1.2721346zbMath1144.81342arXivmath-ph/0703037OpenAlexW2011750013WikidataQ60124359 ScholiaQ60124359MaRDI QIDQ3529724

David Dooling, James E. Hammerberg

Publication date: 14 October 2008

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

Full work available at URL: https://arxiv.org/abs/math-ph/0703037

Mathematics Subject Classification ID

Quantum theory (81-XX)

Cites Work

• Classical damped quartic anharmonic oscillator: a simple analytical approach
• Exact solutions in the FPU oscillator chain
• Symmetric invariant manifolds in the Fermi-Pasta-Ulam lattice
• Nonlinear coupled oscillators: Modal equation approach
• Equipartition of Energy for Nonlinear Systems
• Nonlinear Coupled Oscillators. I. Perturbation Theory; Ergodic Problem
• Weak and strong chaos in Fermi–Pasta–Ulam models and beyond
• Nonlinear Coupled Oscillators. II. Comparison of Theory with Computer Solutions

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