title: Transition to coherence in populations of coupled chaotic oscillators: a linear response approach.
abstract: We consider the collective dynamics in an ensemble of globally coupled chaotic maps. The transition to the coherent state with a macroscopic mean field is analyzed in the framework of the linear response theory. The linear response function for the chaotic system is obtained using the perturbation approach to the Frobenius-Perron operator. The transition point is defined from this function by virtue of the self-excitation condition for the feedback loop. Analytical results for the coupled Bernoulli maps are confirmed by the numerics.
authors.affiliation: Department of Physics, University of Potsdam, Postfach 601553, D-14415 Potsdam, Germany.
authors.forename: D
authors.initials: D
authors.lastname: Topaj
authors.forename: W H
authors.initials: WH
authors.lastname: Kye
authors.forename: A
authors.initials: A
authors.lastname: Pikovsky