Application of the Bogoliubov-Krylov method of averaging to the Fermi-Pasta-Ulam system
Author:
Publisher
American Physical Society (APS)
Subject
Industrial and Manufacturing Engineering,Metals and Alloys,Strategy and Management,Mechanical Engineering
Link
http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevE.74.047201/fulltext
Reference8 articles.
1. Exact solutions in the FPU oscillator chain
2. Numerical analysis of the one-mode solutions in the Fermi-Pasta-Ulam system
3. Tangent bifurcation of band edge plane waves, dynamical symmetry breaking and vibrational localization
4. Stability of nonlinear modes and chaotic properties of 1D Fermi-Pasta-Ulam lattices
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1. Instability dynamics of nonlinear normal modes in the Fermi–Pasta–Ulam–Tsingou chains;New Journal of Physics;2022-09-01
2. A non-Boltzmannian behavior of the energy distribution for quasi-stationary regimes of the Fermi–Pasta–Ulam system;Annals of Physics;2013-06
3. Non-Maxwellian behavior and quasistationary regimes near the modal solutions of the Fermi-Pasta-Ulamβsystem;Physical Review E;2012-03-30
4. On the high energy stability of the nonlinear modal solutions for the Fermi–Pasta–Ulam β system;Journal of Statistical Mechanics: Theory and Experiment;2011-03-04
5. Thermostatistics in the neighbourhood of the π-mode solution for the Fermi–Pasta–Ulam β system: from weak to strong chaos;Journal of Statistical Mechanics: Theory and Experiment;2010-04-21
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