標題: Transversal homoclinic orbits in a transiently chaotic neural network
作者: Chen, SS
Shih, CW
應用數學系
Department of Applied Mathematics
公開日期: 1-Sep-2002
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. (C) 2002 American Institute of Physics.
URI: http://dx.doi.org/10.1063/1.1488895
http://hdl.handle.net/11536/28562
ISSN: 1054-1500
DOI: 10.1063/1.1488895
期刊: CHAOS
Volume: 12
Issue: 3
起始頁: 654
結束頁: 671
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