Noise-Dependent Stability of the Synchronized State in a Coupled System of Active Rotators
Sebastian F. Brandt, Axel Pelster, Ralf Wessel
DOI: 10.4236/wjcmp.2011.13014   PDF    HTML   XML   4,679 Downloads   8,271 Views  


We consider a Kuramoto model for the dynamics of an excitable system consisting of two coupled active rotators. Depending on both the coupling strength and the noise, the two rotators can be in a synchronized or desynchronized state. The synchronized state of the system is most stable for intermediate noise intensity in the sense that the coupling strength required to desynchronize the system is maximal at this noise level. We evaluate the phase boundary between synchronized and desynchronized states through numerical and analytical calculations.

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S. Brandt, A. Pelster and R. Wessel, "Noise-Dependent Stability of the Synchronized State in a Coupled System of Active Rotators," World Journal of Condensed Matter Physics, Vol. 1 No. 3, 2011, pp. 88-96. doi: 10.4236/wjcmp.2011.13014.

Conflicts of Interest

The authors declare no conflicts of interest.


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