Phase dynamics of complex-valued neural networks and its application to traffic signal control |
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Authors: | Nishikawa Ikuko Iritani Takeshi Sakakibara Kazutoshi Kuroe Yasuaki |
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Affiliation: | College of Information Science and Engineering, Ritsumeikan University, Kusatsu, Shiga 525-8577, Japan. nishi@ci.ritsumei.ac.jp |
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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 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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