DocumentCode
527561
Title
On index sum of continuous time neural network
Author
Liu, Tundong ; Yang, Xiao-song
Author_Institution
Dept. of Autom., Xiamen Univ., Xiamen, China
Volume
2
fYear
2010
fDate
10-12 Aug. 2010
Firstpage
790
Lastpage
795
Abstract
In this paper a theory of index sum of equilibrium points of neural networks described by ordinary differential equations is presented. First a framework for index sum of equilibrium points of bounded dynamical systems is established, then a formula of index sum of equilibrium points of neural networks described by ordinary differential equations is discussed by virtue of the established framework, and an estimate of the number of asymptotically stable equilibrium points in a neural network is also presented.
Keywords
continuous time systems; differential equations; neural nets; nonlinear dynamical systems; bounded dynamical systems; continuous time neural network; equilibrium points; index sum; ordinary differential equations; Artificial neural networks; Differential equations; Eigenvalues and eigenfunctions; Equations; Indexes; Jacobian matrices; Trajectory; bounded dynamical systems; equilibrium points; neural networks;
fLanguage
English
Publisher
ieee
Conference_Titel
Natural Computation (ICNC), 2010 Sixth International Conference on
Conference_Location
Yantai, Shandong
Print_ISBN
978-1-4244-5958-2
Type
conf
DOI
10.1109/ICNC.2010.5583213
Filename
5583213
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