Abstract
Addition of the external noise allows one to select a unique invariant distribution which characterizes attractors of a one-dimensional map. Expressions for the Fourier transform of this distribution and the Liapunov exponent are derived. We find that in the presence of noise dynamical averaging, performed numerically, and statistical averaging, performed with the invariant distribution, are the same.
- Received 20 July 1982
DOI:https://doi.org/10.1103/PhysRevA.27.1203
©1983 American Physical Society
