Invariant distribution on the attractors in the presence of noise
- 1 February 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 27 (2), 1203-1206
- https://doi.org/10.1103/physreva.27.1203
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.Keywords
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