Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2007-05-07
Nonlinear Sciences
Pattern Formation and Solitons
4 pages, 3 figures
Scientific paper
10.1103/PhysRevLett.99.228101
In many real-world oscillator systems, the phase response curves are highly heterogeneous. However, dynamics of heterogeneous oscillator networks has not been seriously addressed. We propose a theoretical framework to analyze such a system by dealing explicitly with the heterogeneous phase response curves. We develop a novel method to solve the self-consistent equations for order parameters by using formal complex-valued phase variables, and apply our theory to networks of in vitro cortical neurons. We find a novel state transition that is not observed in previous oscillator network models.
Fukai Tomoki
Teramae Jun-nosuke
Tsubo Yasuhiro
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