title: Self-induced slow-fast dynamics and swept bifurcation diagrams in weakly desynchronized systems.
abstract: In systems close to the state of phase synchronization, the fast timescale of oscillations interacts with the slow timescale of the phase drift. As a result, "fast" dynamics is subjected to a slow modulation, due to which an autonomous system under fixed parameter values can imitate repeated bifurcational transitions. We demonstrate the action of this general mechanism for a set of two coupled autonomous chaotic oscillators and for a chaotic system perturbed by a periodic external force. In both cases, the Poincaré sections of phase portraits resemble bifurcation diagram of a logistic mapping with time-dependent parameter.
authors.affiliation: Institute of Physics, Potsdam University, PF 601553, D-14415 Potsdam, Germany.
authors.forename: Michael A
authors.initials: MA
authors.lastname: Zaks
authors.forename: Eun-Hyoung
authors.initials: EH
authors.lastname: Park
authors.forename: Jürgen
authors.initials: J
authors.lastname: Kurths