Detecting the onset of bifurcations and their precursors from noisy data
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.
Omberg
L
Center for Neurodynamics, University of Missouri at St. Louis 63121, USA.
Dolan
K
Neiman
A
Moss
F