Transition to Coherence in Populations of Coupled Chaotic Oscillators: A Linear Response Approach
Journal Article
·
· Physical Review Letters
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.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40230944
- Journal Information:
- Physical Review Letters, Vol. 87, Issue 7; Other Information: DOI: 10.1103/PhysRevLett.87.074101; Othernumber: PRLTAO000087000007074101000001; 018132PRL; PBD: 13 Aug 2001; ISSN 0031-9007
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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