The statistical structure of Lorenz strange attractors
Abstract
The statistical characteristic quantities and marginal probability distribution of the Lorenz strange attractors were computed numerically. The results indicate that after a sufficiently long time the statistical characteristic quantities and marginal probability distribution tend to stable states, and the motion on the strange attractor is ergodic.
- Publication:
-
Advances in Atmospheric Sciences
- Pub Date:
- May 1985
- DOI:
- 10.1007/BF03179753
- Bibcode:
- 1985AdAtS...2..215Z
- Keywords:
-
- Ergodic Process;
- Probability Distribution Functions;
- Statistical Analysis;
- Strange Attractors;
- Chaos;
- Numerical Analysis;
- Phase-Space Integral;
- Rayleigh-Benard Convection;
- Physics (General)