Abstract
We characterize the complexity in dynamical systems with a random perturbation by considering the rate of divergence of nearby orbits evolving under two different noise realizations. We discuss the meaning of in the context of the information theory and its physical relevance for the analysis of experimental data. Our definition of complexity becomes crucial for strongly intermittent systems where is very different from the Lyapunov exponent. This behavior is illustrated by some numerical computations.
- Received 23 June 1994
DOI:https://doi.org/10.1103/PhysRevLett.74.66
©1995 American Physical Society