Transition to Coherence in Populations of Coupled Chaotic Oscillators: A Linear Response Approach
- 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.
| Author details: | Dmitri Topaj, W.-H Kye, Arkadij PikovskijORCiDGND |
|---|---|
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2001 |
| Publication year: | 2001 |
| Release date: | 2017/03/24 |
| Source: | Physical Review Letters. - 87 (2001), 074101 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Institution name at the time of the publication: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik |
