Asymmetric neural networks incorporating the Dale hypothesis and noise-driven chaos

T. Fukai; M. Shiino

doi:10.1103/PhysRevLett.64.1465

Asymmetric neural networks incorporating the Dale hypothesis and noise-driven chaos

T. Fukai and M. Shiino

Phys. Rev. Lett. 64, 1465 – Published 19 March 1990

Abstract

Dynamical properties of the neural networks with asymmetrical synaptic couplings respecting the Dale hypothesis are studied. The time evolution of the networks is assumed to obey stochastic dynamics of the Little type with time delay. Using a nonlinear master equation, exact equations are derived for the time evolution of the overlaps of instantaneous configuration with p embedded patterns and with the characteristic pattern representing the configuration of excitatory and inhibitory neurons. It is shown that the networks exhibit noise-driven chaotic motions in the retrieval process.

Received 15 August 1989

DOI:https://doi.org/10.1103/PhysRevLett.64.1465

Authors & Affiliations

T. Fukai and M. Shiino

Department of Management and Information Science, Gumma Women’s College, Naka-Oorui-cho 501, Takasaki, Japan and Department of Applied Physics, Tokyo Institute of Technology, Ohokayama, Meguro-ku, Tokyo, Japan