کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
408346 679024 2011 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Doubly periodic traveling waves in cellular neural networks with polynomial reactions
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Doubly periodic traveling waves in cellular neural networks with polynomial reactions
چکیده انگلیسی

In a study (Szekely, 1965) [1] of the locomotion of salamanders, it is observed that a ‘doubly periodic traveling wave solution’ of a logical neural network can be used to explain a dynamic pattern of movements. We show here that nonlinear and nonlogical artificial neural network can also be built by means of reaction diffusion principles and existence or nonexistence of doubly periodic traveling waves can be guaranteed by adjusting parameters built into these networks. Our derivations for existence are based on implicit function theorems and the invariance properties of our model; while nonexistence is based on boundedness properties of the polynomial reaction term. We also give illustrative examples as well as comments on the differences between present results with those obtained for linear models studied earlier in Cheng and Lin (2009) [2] and [3].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Neurocomputing - Volume 74, Issue 7, March 2011, Pages 1083–1094
نویسندگان
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