Gallavotti G. (ed.) The Fermi-Pasta-Ulam Problem: A Status Report

Springer, 2007. - 303 pp.
This volume reviews the current understanding of the Fermi-Pasta-Ulam (FPU) Problem without trying to force coherence on differing perspectives on the same problem by various groups or approaches. The contributions lead the interested but inexperienced reader through gradual understanding, starting from general analysis and proceeding towards more specialized topics. The volume also includes a reprint of the original Fermi-Pasta-Ulam paper.Introduction to FPU (by G. Gallavotti).
Dynamics of Oscillator Chains (by Allan J. Lichtenberg, Roberto Livi, Marco Pettini and Stefano Ruffo).
Role of Chaos for the Validity of Statistical Mechanics Laws: Diffusion and Conduction (by Massimo Cencini, Fabio Cecconi, Massimo Falcioni and Angelo Vulpiani).
The Fermi-Pasta-Ulam Problem and the Metastability Perspective (by G. Benettin, A. Carati, L. Galgani and A. Giorgilli).
Resonance, Metastability and Blow up in FPU (by Dario Bambusi and Antonio Ponno).
Center Manifold Theory in the Context of Infinite One-Dimensional Lattices (by Guillaume James and Yannick Sire).
Numerical Methods and Results in the FPU Problem (by Simone Paleari and Tiziano Penati).
An Integrable Approximation for the Fermi-Pasta-Ulam Lattice (by Bob Rink).