Ergodic Properties and the Dimension of Lorenz Attractors
Abstract
The description of a class of strange attractors - called Lorentz attractors - is given. The stochasticity of these attractors (which is the cause of the appearance of non-regular chaotic motions in the corresponding physical systems) and the ergodic properties of stochastic invariant measure are investigated. The question of the dimension of these attractors is discussed.
- Publication:
-
Nonlinear and Turbulent Processes in Physics
- Pub Date:
- 1984
- Bibcode:
- 1984ntpp.proc.1581P
- Keywords:
-
- Ergodic Process;
- Lorentz Force;
- Oscillations;
- Strange Attractors;
- Chaos;
- Mapping;
- Stochastic Processes;
- Trajectories;
- Physics (General)