Resonance, Metastability and Blow up in FPU

DOI10.1007/978-3-540-72995-2_5zbMath1151.82303OpenAlexW1647252668MaRDI QIDQ3529220

Dario Bambusi, Antonio Ponno

Publication date: 20 October 2008

Published in: The Fermi-Pasta-Ulam Problem (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-72995-2_5

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05)

Related Items

The Fermi-Pasta-Ulam problem: scaling laws vs. initial conditions, Elliptic tori in FPU non-linear chains with a small number of nodes, A multiscale method for highly oscillatory dynamical systems using a Poincaré map type technique, Time-scales to equipartition in the Fermi-Pasta-Ulam problem: finite-size effects and thermodynamic limit, On the energy distribution in Fermi-Pasta-Ulam lattices, Parareal Multiscale Methods for Highly Oscillatory Dynamical Systems, Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction, On critical behaviour in systems of Hamiltonian partial differential equations

Cites Work

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• Exponentially long times to equipartition in the thermodynamic limit
• Existence of blow-up solutions in the energy space for the critical generalized KdV equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Symmetry and resonance in periodic FPU chains