Phase diagram for the collective behavior of limit-cycle oscillators
- 1 October 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 65 (14) , 1701-1704
- https://doi.org/10.1103/physrevlett.65.1701
Abstract
We analyze a large dynamical system of limit-cycle oscillators with mean-field coupling and randomly distributed natural frequencies. Depending on the choice of coupling strength and the spread of natural frequencies, the system exhibits frequency locking, amplitude death, and incoherence, as well as novel unsteady behavior characterized by periodic, quasiperiodic, or chaotic evolution of the system’s order parameter. The phase boundaries between several of these states are obtained analytically.Keywords
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