Transition to coherence in populations of coupled chaotic oscillators: a linear response approach |
| |
Authors: | Topaj D Kye W H Pikovsky A |
| |
Affiliation: | Department of Physics, University of Potsdam, Postfach 601553, D-14415 Potsdam, Germany. |
| |
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. |
| |
Keywords: | |
本文献已被 PubMed 等数据库收录! |
|