Recent results on the Fermi-Pasta-Ulam problem

DOI10.1007/s10958-005-0227-7zbMath1120.37049OpenAlexW2077141268MaRDI QIDQ997762

Luigi Galgani, Antonio Giorgilli

Publication date: 7 August 2007

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0227-7

zbMATH Keywords

thermodynamic limitsubsystemsequipartitionHamilton systemstable states

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Cites Work

• Vanishing stability thresholds in the thermodynamic limit of nonintegrable conservative systems
• On the problem of energy equipartition for large systems of the Fermi- Pasta-Ulam type: Analytical and numerical estimates
• Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. II
• Chaotic behavior in nonlinear Hamiltonian systems and equilibrium statistical mechanics.
• Low-energy chaos in the Fermi - Pasta - Ulam problem
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