In this paper we prove the exponential decay in the case n > 2, as time goes to infinity, of regular solutions for a nonlinear coupled system of wave equations with memory and weak dampingin a noncylindrical domainsQ of n+1 (n 1) under suitable hypotheses on the scalar functions h, g 1 and g 2 , and where α is a positive constant. We show that such dissipation is strong enough to produce uniform rate decay. Besides, the coupled is nonlinear which brings up some additional difficulties, which make the problem interesting. We establish existence and uniqueness of regular solutions for any n 1.
Kohonen self-organizing maps (SOM) and Shannon entropy were applied together for the analysis of data from functional magnetic resonance imaging (fMRI). To increase the efficiency of SOM in the search for patterns of activation in fMRI data, first, we applied the Shannon entropy in order to eliminate signals possibly related to noise sources. The procedure with these techniques was applied to simulated data and on real hearing experiment, the results showed that the application of entropy and SOM is a good tool to the identification of areas of activity.
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