Geodesic
Existence and stability of periodic solutions of BAM high-order Hopfield neural networks with impulses and delays on time scales
Electronic journal of differential equations, Tome 2012 (2012)
By using Mawhins's continuation theorem of coincidence degree theory and constructing some suitable Lyapunov functions, the periodicity and the exponential stability for a class of bidirectional associative memory (BAM) high-order Hopfield neural networks with impulses and delays on time scales are investigated. An example illustrates our results.
Classification : 34K13, 34K20, 92B20
Keywords: bidirectional associative memory, impulses and delays, high-order Hopfield neural networks, existence and stability, time scales 
@article{EJDE_2012__2012__a65,
     author = {Yang,  Wengui},
     title = {Existence and stability of periodic solutions of {BAM} high-order {Hopfield} neural networks with impulses and delays on time scales},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1244.34115},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a65/}
}
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%A Yang,  Wengui
%T Existence and stability of periodic solutions of BAM high-order Hopfield neural networks with impulses and delays on time scales
%J Electronic journal of differential equations
%D 2012
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Yang,  Wengui. Existence and stability of periodic solutions of BAM high-order Hopfield neural networks with impulses and delays on time scales. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a65/