The apparent contradiction of the results of the
Fermi-Pasta-Ulam experiment conducted in 1953 and 1954 with the
hypothesis that essentially any nonlinearity would lead to a system
exhibiting ergodic behaviour has become known as the
Fermi-Pasta-Ulam Problem. 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. The order of the
contributions reflects the aim of leading the interested but
inexperienced reader through gradual understanding, starting from
general analysis, and proceeding towards more specialized
topics."
General
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