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Storing Limit Cycles Using Delayed Feedback Neural Networks

Author

Listed:
  • GUIKUN WU

    (Department of Physics, and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, China)

  • HONG ZHAO

    (Department of Physics, and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, China)

Abstract

We show that the delayed feedback neural networks for storing limit cycles can be trained using a global training algorithm. It is found that the storage capacity of the networks is in proportion to delay length as in the networks trained by the correlation learning based on Hebb's rule, but is much higher than in the latter. The generalization capacity of the networks is also higher than in the latter. Another interesting finding is that the spurious states or unwanted attractors totally disappear in the networks trained by the global training algorithm if the memory limit cycles are sufficiently long. The dynamics of the networks is investigated as a function of the length of limit cycles.

Suggested Citation

  • Guikun Wu & Hong Zhao, 2008. "Storing Limit Cycles Using Delayed Feedback Neural Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 11(03), pages 433-442.
    • Handle: RePEc:wsi:acsxxx:v:11:y:2008:i:03:n:s0219525908001738
    DOI: 10.1142/S0219525908001738
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