Transversal homoclinic orbits 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

18 引文 斯高帕斯(Scopus)

摘要

We study the existence of snap-back repellers, hence the existence of transversal homoclinic orbits in a discrete-time neural network. Chaotic behaviors for the network system in the sense of Li and Yorke or Marotto can then be concluded. The result is established by analyzing the structures of the system and allocating suitable parameters in constructing the fixed points and their pre-images for the system. The investigation provides a theoretical confirmation on the scenario of transient chaos for the system. All the parameter conditions for the theory can be examined numerically. The numerical ranges for the parameters which yield chaotic dynamics and convergent dynamics provide significant information in the annealing process in solving combinatorial optimization problems using this transiently chaotic neural network.

原文英語
頁(從 - 到)654-671
頁數18
期刊Chaos
12
發行號3
DOIs
出版狀態已發佈 - 2002 9月
對外發佈

ASJC Scopus subject areas

  • 統計與非線性物理學
  • 數學物理學
  • 物理與天文學 (全部)
  • 應用數學

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