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Stability of an oscillator chain from high-frequency initial conditions

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Publication:1775088
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DOI10.1016/j.physd.2005.01.024zbMath1088.37053OpenAlexW2059656175MaRDI QIDQ1775088

V. V. Mirnov, Allan J. Lichtenberg

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.physd.2005.01.024

zbMATH Keywords

stability analysiscoupled oscillatorsinitial conditionsFermi-Pasta-Ulam chainhigh-frequency oscillations


Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)


Related Items

Dynamics of Oscillator Chains, Discrete nonlinear Schrödinger approximation of a mixed Klein-Gordon/Fermi-Pasta-Ulam chain: modulational instability and a statistical condition for creation of thermodynamic breathers



Cites Work

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  • Regular and chaotic dynamics.
  • Those ubiquitous, but oft unstable, lattice solitons
  • Finite size effects on instabilities of discrete breathers
  • Equipartition of Energy for Nonlinear Systems
  • Chaotic breather formation, coalescence, and evolution to energy equipartition in an oscillatory chain
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