Characterization of Strange Attractors
- 31 January 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 50 (5) , 346-349
- https://doi.org/10.1103/physrevlett.50.346
Abstract
A new measure of strange attractors is introduced which offers a practical algorithm to determine their character from the time series of a single observable. The relation of this new measure to fractal dimension and information-theoretic entropy is discussed.Keywords
This publication has 12 references indexed in Scilit:
- Impracticality of a box-counting algorithm for calculating the dimensionality of strange attractorsPhysical Review A, 1982
- Strange attractors and chaotic motions of dynamical systemsReviews of Modern Physics, 1981
- On the Hausdorff dimension of fractal attractorsJournal of Statistical Physics, 1981
- Dimension of Strange AttractorsPhysical Review Letters, 1980
- Fractal Dimensions of Chaotic Flows of Autonomous Dissipative SystemsProgress of Theoretical Physics, 1980
- The simplest case of a strange attractorPhysics Letters A, 1978
- Simple mathematical models with very complicated dynamicsNature, 1976
- A two-dimensional mapping with a strange attractorCommunications in Mathematical Physics, 1976
- On the nature of turbulenceCommunications in Mathematical Physics, 1971
- Deterministic Nonperiodic FlowJournal of the Atmospheric Sciences, 1963