Effective deterministic models for chaotic dynamics perturbed by noise
- 1 May 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 55 (5) , 5234-5247
- https://doi.org/10.1103/physreve.55.5234
Abstract
The possibility of representing deterministic chaotic systems perturbed by interactive noise by a purely deterministic process with observational noise is discussed. We investigate the shadowing of pseudotrajectories of a given dynamics by trajectories of a different (nearby) dynamics. A method of constructing the effective deterministic model from observed data is presented and the relevance of this model to the observed data is verified by several quantities.Keywords
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