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Horseshoe in a model of artificial neural network
- Source :
-
Applied Mathematical Modelling . Jul2008, Vol. 32 Issue 7, p1395-1402. 8p. - Publication Year :
- 2008
-
Abstract
- Abstract: In this paper, we study a three-dimensional general model of artificial neural network (ANN). To confirm the chaotic behavior in this neural network demonstrated in numerical studies, we consider a cross-section properly chosen for the attractor obtained and study the dynamics of the corresponding Poincaré map, and rigorously verify the existence of horseshoe by computer-assisted verification arguments. [Copyright &y& Elsevier]
- Subjects :
- *ARTIFICIAL neural networks
*SOFTWARE verification
*COMPUTER networks
*HORSESHOES
Subjects
Details
- Language :
- English
- ISSN :
- 0307904X
- Volume :
- 32
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Applied Mathematical Modelling
- Publication Type :
- Academic Journal
- Accession number :
- 31410331
- Full Text :
- https://doi.org/10.1016/j.apm.2007.06.008