Analysis of Complex Valued Recurrent Neural Network with Time-Delays
Journal: International Journal of Science and Research (IJSR) (Vol.4, No. 9)Publication Date: 2015-09-05
Authors : Ritu Vishwakarma;
Page : 536-538
Keywords : Complex valued recurrent neural network; unique equilibrium point; contraction mapping; stability; activation function;
Abstract
We have presented a complex valued recurrent neural network given by a set of non-linear differential equation. In this paper, activation dynamics of complex valued neural networks are studied on general time scales. Besides presenting conditions guaranteeing the existence of a unique equilibrium pattern, its global exponential stability is discussed. Some numerical examples for different time scales are given in order to highlight the results. The equation is shown to possess a unique equilibrium point beside having bounded solution. The equation is shown to possess a unique equilibrium point beside having a bounded solution.
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