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Phys. Rev. E 67, 031916 (2003) [8 pages]

Analysis of globally connected active rotators with excitatory and inhibitory connections using the Fokker-Planck equation

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Takashi Kanamaru and Masatoshi Sekine
Department of Electrical and Electronic Engineering, Faculty of Technology, Tokyo University of Agriculture and Technology, Tokyo 184-8588, Japan

Received 29 September 2002; revised 2 December 2002; published 24 March 2003

The globally connected active rotators with excitatory and inhibitory connections are analyzed using the nonlinear Fokker-Planck equation. The bifurcation diagram of the system is obtained numerically, and both periodic solutions and chaotic solutions are found. By observing the interspike interval, the coefficient of variance, and the correlation coefficient of the system, the relationship of our model to the biological data is discussed.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.67.031916
DOI:
10.1103/PhysRevE.67.031916
PACS:
87.10.+e, 05.45.-a, 84.35.+i, 07.05.Mh