Title :
A Rigorous Verification of Chaos in A 3D Neural Network
Author :
Yang, Fangyan ; Zhou, Ping ; Li, Qingdu
Author_Institution :
Inst. for Nonlinear Syst., Chongqing Univ. of Posts & Telecomm.
Abstract :
This paper proposes a rigorous verification of chaos in an artificial neural network (ANN) consisting of three neurons by virtue of the topological horseshoe theory. Because the two disjoint compact subsets producing a horseshoe we found in a certain cross-section both expand in one directions under the forth Poincare return map, we conclude that there exists chaos in the ANN
Keywords :
artificial intelligence; chaos; neural nets; 3D artificial neural network; ANN; Poincare map; chaos; topological horseshoe theory; Artificial neural networks; Biological neural networks; Biological processes; Chaos; Computer simulation; Mathematical model; Neural networks; Neurons; Nonlinear systems; Telecommunications;
Conference_Titel :
Communications, Circuits and Systems Proceedings, 2006 International Conference on
Conference_Location :
Guilin
Print_ISBN :
0-7803-9584-0
Electronic_ISBN :
0-7803-9585-9
DOI :
10.1109/ICCCAS.2006.284915
