Article ID Journal Published Year Pages File Type
6421593 Applied Mathematics and Computation 2014 14 Pages PDF
Abstract

This paper addresses the multistability problem of n-dimensional complex-valued recurrent neural networks with real-imaginary-type activation functions. Sufficient conditions are proposed for checking the existence of [(2α+1)(2β+1)]n(α,β⩾1) equilibria. Under these conditions, [(α+1)(β+1)]n equilibria are locally exponentially stable and the others are unstable. Attractive basins of equilibria are also investigated. Complete attractive basins of equilibria in 1-dimensional complex-valued recurrent neural networks are obtained. The obtained stability results improve and extend the existing ones. Two numerical examples are given to illustrate the effectiveness of the obtained results.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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