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PHASE DYNAMICS OF COMPLEX-VALUED NEURAL NETWORKS AND ITS APPLICATION TO TRAFFIC SIGNAL CONTROL

IKUKO NISHIKAWA

College of Information Science and Engineering, Ritsumeikan University, Kusatsu, Shiga 525-8577, Japan

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TAKESHI IRITANI

College of Information Science and Engineering, Ritsumeikan University, Kusatsu, Shiga 525-8577, Japan

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KAZUTOSHI SAKAKIBARA

College of Information Science and Engineering, Ritsumeikan University, Kusatsu, Shiga 525-8577, Japan

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, and

YASUAKI KUROE

Center for Information Science, Kyoto Institute of Technology, Kyoto, 606-8585, Japan

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https://doi.org/10.1142/S0129065705000062Cited by:11 (Source: Crossref)

Abstract

Complex-valued Hopfield networks which possess the energy function are analyzed. The dynamics of the network with certain forms of an activation function is decomposable into the dynamics of the amplitude and phase of each neuron. Then the phase dynamics is described as a coupled system of phase oscillators with a pair-wise sinusoidal interaction. Therefore its phase synchronization mechanism is useful for the area-wide offset control of the traffic signals. The computer simulations show the effectiveness under the various traffic conditions.

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