PMID: 11308552Apr 20, 2001Paper

Synchronization regimes in coupled noisy excitable systems

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
B Hu, C Zhou

Abstract

We study synchronization regimes in a system of two coupled noisy excitable systems which exhibit excitability close to an Andronov bifurcation. The uncoupled system possesses three fixed points: a node, a saddle, and an unstable focus. We demonstrate that with an increase of coupling strength the system undergoes transitions from a desynchronous state to a train synchronization regime to a phase synchronization regime, and then to a complete synchronization regime. Train synchronization is a consequence of the existence of a saddle in the phase space. The mechanism of transitions in coupled noisy excitable systems is different from that in coupled phase-coherent chaotic systems.

References

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Citations

Apr 5, 2003·Chaos·Jan A FreundPeter Hänggi
Apr 17, 2002·Physical Review Letters·Alexander B Neiman, David F Russell
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J AliagaL Sczcupak
Jan 15, 2016·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Igor FranovićNikola Burić
Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lars CallenbachLutz Schimansky-Geier
Oct 9, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alejandro M YacomottiJorge Tredicce

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