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