### Abstract

Recently a sufficient condition for the recurrent neural network with the piecewise-linear output characteristic to generate a prescribed periodic sequence of binary vectors such that every two consecutive vectors differ in exactly one component has been derived. If a recurrent neural network satisfies this condition, it is guaranteed that any state trajectory of the network passes through the periodic sequence of regions corresponding to the periodic sequence of binary vectors. However, the asymptotic behavior of the state trajectories has not been clarified yet. In this paper, we study asymptotic behavior of state trajectories of recurrent neural networks satisfying the above-mentioned sufficient condition, and derive a criterion for state trajectories to converge a unique limit cycle.

Original language | English |
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Title of host publication | 2008 International Joint Conference on Neural Networks, IJCNN 2008 |

Pages | 484-489 |

Number of pages | 6 |

DOIs | |

Publication status | Published - Nov 24 2008 |

Externally published | Yes |

Event | 2008 International Joint Conference on Neural Networks, IJCNN 2008 - Hong Kong, China Duration: Jun 1 2008 → Jun 8 2008 |

### Publication series

Name | Proceedings of the International Joint Conference on Neural Networks |
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### Other

Other | 2008 International Joint Conference on Neural Networks, IJCNN 2008 |
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Country | China |

City | Hong Kong |

Period | 6/1/08 → 6/8/08 |

### ASJC Scopus subject areas

- Software
- Artificial Intelligence

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## Cite this

*2008 International Joint Conference on Neural Networks, IJCNN 2008*(pp. 484-489). [4633836] (Proceedings of the International Joint Conference on Neural Networks). https://doi.org/10.1109/IJCNN.2008.4633836