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DYNAMICS IN A CLASS OF NEURON MODELS

DYNAMICS IN A CLASS OF NEURON MODELS
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摘要 In this paper, we investigate the dynamics in a class of discrete-time neuron mod-els. The neuron model we discussed, defined by such periodic input-output mapping as a sinusoidal function, has a remarkably larger memory capacity than the conven-tional association system with the monotonous function. Our results show that the orbit of the model takes a conventional bifurcation route, from stable equilibrium, to periodicity, even to chaotic region. And the theoretical analysis is verified by numerical simula... In this paper, we investigate the dynamics in a class of discrete-time neuron mod-els. The neuron model we discussed, defined by such periodic input-output mapping as a sinusoidal function, has a remarkably larger memory capacity than the conven-tional association system with the monotonous function. Our results show that the orbit of the model takes a conventional bifurcation route, from stable equilibrium, to periodicity, even to chaotic region. And the theoretical analysis is verified by numerical simula...
出处 《Annals of Differential Equations》 2009年第1期67-73,共7页 微分方程年刊(英文版)
基金 Specialized research fund for outstanding young scholars in universities of Shanghai (GrantNo2-2008-26)
关键词 discrete-time neuron model periodic activation function periodic-doubling bifurcation anti-integrable limit method CHAOS discrete-time neuron model periodic activation function periodic-doubling bifurcation anti-integrable limit method chaos
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参考文献10

  • 1M. Nakagawa.Statistical properties of chaos associative memory[].Journal of the Physical So-ciety of Japan.2002
  • 2Chen L N,Aihara K.Chaos and asymptotical stability in discrete-time neural networks[].Physica D Nonlinear Phenomena.1997
  • 3L. Chen,and K. Aihara.Strange attractors in chaotic neural networks[].IEEE Transaction on circuits and systems I.2000
  • 4J. Hopfield,and A. V. M. Herz.Rapid local synchronization of action potentials: towards computation with coupled integrate-and-fire neurons[].Proceedings of the National Academy of Sciences of the United States of America.1995
  • 5Zhou Z,Wu J.Stable periodic orbits in nonlinear discrete-time neural networks with delayed feedback[].Computers and Mathematics With Applications.2003
  • 6Yuan Z,Hu D,Huang L.Stability and bifurcation analysis on a discrete-time neural network[].Journal of Computational and Applied Mathematics.2005
  • 7W. Lin.Some theoretical problems in complex systems and their applications[]..2002
  • 8M. Nakagawa.A study of chaos neural network with a periodic activation function[].nd New Zealand Two-Stream International Conference on Artificial Neural Networks and Expert Systems (ANNES‘).1995
  • 9Clark Robinson.Dynamical systems-stability,symbolic dynamics,and chaos[]..1998
  • 10Zheng Y,,Chen G,Liu Z.On chaotification of discrete systems[].Int J of Bifur&Chaos.2003

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