An analysis of globally connected active rotators with excitatory and inhibitory connections having different time constants using the nonlinear Fokker-Planck equations
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Updated: Aug 21, 2026

Dynamic Clamp Methods to Investigate Impaired Neuronal Excitability Associated with Autism
Published on: October 17, 2025
Takashi Kanamaru1, Masatoshi Sekine
1Department of Electrical and Electronic Engineering, Tokyo University of Agriculture and Technology, 184-8588 Tokyo, Japan. kanamaru@sekine-lab.ei.tuat.ac.jp
Abstract:
The globally connected active rotators with excitatory and inhibitory connections having different time constants under noise are analyzed using the nonlinear Fokker-Planck equation, and their oscillatory phenomena are investigated. Based on numerically calculated bifurcation diagrams, both periodic solutions and chaotic solutions are found. The periodic firings are classified based on the firing period, the coefficient of variation, and the correlation coefficient, and weakly synchronized periodic firings which are often observed in physiological experiments are found.
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