Long way from the FPU-problem to chaos
- 1 March 2005
- journal article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 15 (1) , 15103
- https://doi.org/10.1063/1.1858115
Abstract
This paper provides some historical comments on the study of the Fermi, Pasta, and Ulam (FPU) paper and its influence on the development of the theory of chaos. We also discuss some problems raised in the FPU paper and the links of these problems to such contemporary notions in chaos theory as ergodicity, mixing, recurrences, pseudochaos, kinetics, intermittency, etc.Keywords
This publication has 21 references indexed in Scilit:
- Chaos, fractional kinetics, and anomalous transportPhysics Reports, 2002
- Experimental Demonstration of the Fermi-Pasta-Ulam Recurrence in a Modulationally Unstable Optical WavePhysical Review Letters, 2001
- Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamicsChaos: An Interdisciplinary Journal of Nonlinear Science, 1997
- The importance of resonances in microwave “ionization” of excited hydrogen atomsPhysics Reports, 1995
- Excited Atoms in Strong Microwaves: Classical Resonances and Localization in Experimental Final-State DistributionsPhysical Review Letters, 1988
- A universal instability of many-dimensional oscillator systemsPhysics Reports, 1979
- Certain measures associated with U-flows on compact manifoldsFunctional Analysis and Its Applications, 1970
- Nonlinear oscillations of rarified plasmaNuclear Fusion, 1961
- On the Origin of the Cosmic RadiationPhysical Review B, 1949
- Measure-Preserving Homeomorphisms and Metrical TransitivityAnnals of Mathematics, 1941