Dynamics of error growth in unstable systems
Abstract
Analytic expressions of the mean error and of the error probability versus time are derived for chaotic attractors. The expressions are studied for the logistic and Bernoulli maps and for the Rössler flow. In all cases mean error growth follows a logisticlike curve, the characteristics of which are related to the intrinsic properties of the attractor.
- Publication:
-
Physical Review A
- Pub Date:
- May 1991
- DOI:
- 10.1103/PhysRevA.43.5720
- Bibcode:
- 1991PhRvA..43.5720N
- Keywords:
-
- Chaos;
- Dynamical Systems;
- Error Analysis;
- Systems Stability;
- Liapunov Functions;
- Strange Attractors;
- Truncation Errors;
- Physics (General);
- 05.45.+b;
- 05.40.+j;
- 92.60.Wc;
- Weather analysis and prediction