Chaos beyond onset: A comparison of theory and experiment
- 3 July 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 63 (1) , 1-4
- https://doi.org/10.1103/physrevlett.63.1
Abstract
The chaotic dynamics from a nonlinear electronic circuit is shown to exhibit the universal topological structure of maps on an annulus. This suggests that the corresponding universality class is large enough to include physical systems. We suggest that low-dimensional strange attractors fall into a few classes, each characterized by distinct universal topological features.Keywords
This publication has 15 references indexed in Scilit:
- Invariant Measurement of Strange Sets in Terms of CyclesPhysical Review Letters, 1988
- Topological and metric properties of Hénon-type strange attractorsPhysical Review A, 1988
- Trajectory Scaling Functions at the Onset of Chaos: Experimental ResultsPhysical Review Letters, 1988
- f(α) curves: Experimental resultsPhysical Review A, 1988
- Organization of chaosPhysical Review Letters, 1987
- Fractal measures and their singularities: The characterization of strange setsPhysical Review A, 1986
- Global Universality at the Onset of Chaos: Results of a Forced Rayleigh-Bénard ExperimentPhysical Review Letters, 1985
- On the fractal dimension of the Henon attractorPhysics Letters A, 1983
- The transition to aperiodic behavior in turbulent systemsCommunications in Mathematical Physics, 1980
- Quantitative universality for a class of nonlinear transformationsJournal of Statistical Physics, 1978