TY  - JOUR
A1  - Topaj, Dmitri
A1  - Kye, W.-H
A1  - Pikovskij, Arkadij
T1  - Transition to Coherence in Populations of Coupled Chaotic Oscillators: A Linear Response Approach
N2  - 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.
Y1  - 2001
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/18182
ER  -