Geodesic
Anti-periodic solutions for recurrent neural networks without assuming global Lipschitz conditions
Electronic journal of differential equations, Tome 2010 (2010)
In this paper we study recurrent neural networks with time-varying delays and continuously distributed delays. Without assuming global Lipschitz conditions on the activation functions, we establish the existence and local exponential stability of anti-periodic solutions.
Classification : 34C25, 34D40
Keywords: recurrent neural networks, anti-periodic, exponential stability, delay 
@article{EJDE_2010__2010__a22,
     author = {Zhang,  Hong and Wu,  Yuanheng},
     title = {Anti-periodic solutions for recurrent neural networks without assuming global {Lipschitz} conditions},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1201.34112},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a22/}
}
TY  - JOUR
AU  - Zhang,  Hong
AU  - Wu,  Yuanheng
TI  - Anti-periodic solutions for recurrent neural networks without assuming global Lipschitz conditions
JO  - Electronic journal of differential equations
PY  - 2010
VL  - 2010
UR  - http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a22/
LA  - en
ID  - EJDE_2010__2010__a22
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%0 Journal Article
%A Zhang,  Hong
%A Wu,  Yuanheng
%T Anti-periodic solutions for recurrent neural networks without assuming global Lipschitz conditions
%J Electronic journal of differential equations
%D 2010
%V 2010
%U http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a22/
%G en
%F EJDE_2010__2010__a22
Zhang,  Hong; Wu,  Yuanheng. Anti-periodic solutions for recurrent neural networks without assuming global Lipschitz conditions. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a22/