Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6421593 | Applied Mathematics and Computation | 2014 | 14 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yujiao Huang, Huaguang Zhang, Zhanshan Wang,