Collective phase slips and phase synchronizations in coupled oscillator systems
- 1 July 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 62 (1) , 402-408
- https://doi.org/10.1103/physreve.62.402
Abstract
Phase synchronization dynamics in coupled limit cycles with distributed natural frequencies are explored. A synchronization tree from free oscillations to local clustering and global phase locking is found. A desynchronization-induced transition to chaos is shown. Near the onset of various phase synchronization points, a simultaneous quantized stick-slip feature of the phases of oscillators is observed on the desynchronization side and heuristically interpreted in terms of a heteroclinic path instability.Keywords
This publication has 28 references indexed in Scilit:
- Solvable Dynamics in a System of Interacting Random TopsPhysical Review Letters, 1998
- Synchronization Transitions in a Disordered Josephson Series ArrayPhysical Review Letters, 1996
- Symmetry and phaselocking in chains of weakly coupled oscillatorsCommunications on Pure and Applied Mathematics, 1986
- Superradiance and superfluorescence in Josephson junction arraysPhysics Letters A, 1984
- Chemical Oscillations, Waves, and TurbulencePublished by Springer Nature ,1984
- Advanced SynergeticsPublished by Springer Nature ,1983
- The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: A mathematical modelJournal of Mathematical Biology, 1982
- The Geometry of Biological TimePublished by Springer Nature ,1980
- Superradiance in arrays of superconducting weak linksPhysics Letters A, 1970
- Experiments on coupled Josephson junctionsPhysics Letters A, 1968