Detecting the onset of bifurcations and their precursors from noisy data
- 1 May 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 61 (5) , 4848-4853
- https://doi.org/10.1103/physreve.61.4848
Abstract
We study the problem of the detection of noise-induced precursors of periodic motion instabilities in stochastic dynamical systems. In particular, we concentrate on the period-doubling bifurcation. We have developed a statistical method to detect the onset of bifurcations and their precursors based on the previously established topological recurrence technique.Keywords
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