Asymptotic behaviors in a transiently chaotic neural network

Shyan Shiou Chen*, Chih Wen Shih

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

8 引文 斯高帕斯(Scopus)

摘要

We are interested in the asymptotic behaviors of a discrete-time neural network. This network admits transiently chaotic behaviors which provide global searching ability in solving combinatorial optimization problems. As the system evolves, the variables corresponding to temperature in the annealing process decrease, and the chaotic behaviors vanish. We shall find sufficient conditions under which evolutions for the system converge to a fixed point of the system. Attracting sets and uniqueness of fixed point for the system are also addressed. Moreover, we extend the theory to the neural networks with cycle-symmetric coupling weights and other output functions. An application of this annealing process in solving travelling salesman problems is illustrated.

原文英語
頁(從 - 到)805-826
頁數22
期刊Discrete and Continuous Dynamical Systems
10
發行號3
DOIs
出版狀態已發佈 - 2004 四月

ASJC Scopus subject areas

  • 分析
  • 離散數學和組合
  • 應用數學

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