Dynamics of Sequence-Associative Memory for Discrete Maps in XY Spin Systems(Condensed Matter and Statistical Physics)
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概要
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A phase coupled oscillator neural network with amplitude modification and a phase shift is studied as a model of sequence-associative memory. The dynamical properties of the pattern recalling process are very important. With regard to the equilibrium state of the system, there have been many studies based on the replica method. Also, an exact solution without any approximations has been proposed for sequence retrieval processes by During et al. In that work, only a self-averaging property is assumed, and a set of self-consistent equations is derived for a stationary state. In this paper, we extend their theory and derive the dynamical equations governing the macroscopic order parameters for general maps. These maps include both amplitude modifications and phase shifts under a synchronous updating rule. As in the case of the Ising spin model, it is found that the crosstalk noise is distributed in a Gaussian manner for the sequence-associative XY spin model. In order to verify this, we consider four different maps. The results of the Monte Carlo simulations for these maps agree well with the theoretical results and support the validity of the theory.
- 理論物理学刊行会の論文
- 2002-10-25
著者
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川口 聡
公立はこだて未来大学複雑系科学科
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Kawaguchi S
Department Of Orthopaedic Surgery Sapporo Medical University School Of Medicine
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Kawaguchi Satoshi
Department Of Complex Systems School Of Systems Information Science Future University
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Kawaguchi Satoshi
Laboratory For Advanced Brain Signal Processing Brain Science Institute Riken
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Kawaguchi Satoshi
Department Of Orthopaedic Surgery Asahikawa-kosei General Hospital
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Kawaguchi Satoshi
Department Of Orthopaedic Surgery Rumoi City Hospital
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Kawaguchi Satoshi
Department of Orthopaedic Surgery, Sapporo Medical University School of Medicine
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KAWAGUCHI Satoshi
Department of Complex Systems, School of Systems Information Science, Future University-Hakodate
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KAWAGUCHI Satoshi
Laboratory for Advanced Brain Signal Processing, Brain Science Institute, RIKEN
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Kawaguchi Satoshi
Department of Complex and Intelligent Systems, School of Systems Information Science, Future University Hakodate, Hakodate, Hokkaido 041-8655, Japan
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KAWAGUCHI Satoshi
Laboratory for Advanced Brain Signal Processing Brain Science Institute, RIKEN
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