@article{TopajKyePikovskij2001, author = {Topaj, Dmitri and Kye, W.-H and Pikovskij, Arkadij}, title = {Transition to Coherence in Populations of Coupled Chaotic Oscillators: A Linear Response Approach}, year = {2001}, 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.}, language = {en} }