Dynamical Properties of Discrete-Time Background Neural Networks with Uniform Firing Rate
Joint Authors
Wan, Min
Gou, Jianping
Wang, Desong
Wang, Xiaoming
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-09
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The dynamics of a discrete-time background network with uniform firing rate and background input is investigated.
The conditions for stability are firstly derived.
An invariant set is then obtained so that the nondivergence of the network can be guaranteed.
In the invariant set, it is proved that all trajectories of the network starting from any nonnegative value will converge to a fixed point under some conditions.
In addition, bifurcation and chaos are discussed.
It is shown that the network can engender bifurcation and chaos with the increase of background input.
The computations of Lyapunov exponents confirm the chaotic behaviors.
American Psychological Association (APA)
Wan, Min& Gou, Jianping& Wang, Desong& Wang, Xiaoming. 2013. Dynamical Properties of Discrete-Time Background Neural Networks with Uniform Firing Rate. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1011061
Modern Language Association (MLA)
Wan, Min…[et al.]. Dynamical Properties of Discrete-Time Background Neural Networks with Uniform Firing Rate. Mathematical Problems in Engineering No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-1011061
American Medical Association (AMA)
Wan, Min& Gou, Jianping& Wang, Desong& Wang, Xiaoming. Dynamical Properties of Discrete-Time Background Neural Networks with Uniform Firing Rate. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1011061
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1011061