The Fermi-Pasta-Ulam Problem : A Status Report
Publication year: 2008
ISBN: 978-3-540-72995-2
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This volume reviews the current understanding of this paradox without trying to force coherence on differing perspectives on the same problem by various groups or approaches. The contributions comprise studies of one-dimensional chains, descriptions of numerical methods, heuristic theories, addressing the "long standing and controversial problem of distinguishing chaos from noise in signal analysis," metastability, the relation of the FPU motions with the integrable equations, approaches using methods of perturbation theory and the proof of the applicability of KAM theory in FPU chains with energy very close to a minimum. For the convenience of the reader the original work of FPU is reprinted in an appendix.
Subject: Physics and Astronomy, FPU experiment, Integrable systems, KdV equation, Statistical Mechanics, dynamical systems, ergodic hypothesis, partial differential equations, Theoretical, Mathematical and Computational Physics, Classical Mechanics, Dynamical Systems and Ergodic Theory, Complex Systems, Partial Differential Equations, Statistical Physics and Dynamical Systems
