• Ikuko Nishikawa, Takeshi Iritani, Kazutoshi Sakakibara, and Yasuaki Kuroe.
• College of Information Science and Engineering, Ritsumeikan University, Kusatsu, Shiga 525-8577, Japan. nishi@ci.ritsumei.ac.jp
• Int J Neural Syst. 2005 Feb 1; 15 (1-2): 111-20.

AbstractComplex-valued Hopfield networks which possess the energy function are analyzed. The dynamics of the network with certain forms of an activation function is de-composable 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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