Bifurcation in a Discrete-Time Piecewise Constant Dynamical System
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-21
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The study of recurrent neural networks with piecewise constant transition or control functions has attracted much attention recently because they can be used to simulate many physical phenomena.
A recurrent and discontinuous two-state dynamical system involving a nonnegative bifurcation parameter is studied.
By elementary but novel arguments, we are able to give a complete analysis on its asymptotic behavior when the parameter varies from 0 to ∞.
It is hoped that our analysis will provide motivation for further results on large-scale recurrent McCulloch-Pitts-type neural networks and piecewise continuous discrete-time dynamical systems.
American Psychological Association (APA)
Hou, Chengmin& Cheng, Sui Sun. 2013. Bifurcation in a Discrete-Time Piecewise Constant Dynamical System. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-475913
Modern Language Association (MLA)
Hou, Chengmin& Cheng, Sui Sun. Bifurcation in a Discrete-Time Piecewise Constant Dynamical System. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-475913
American Medical Association (AMA)
Hou, Chengmin& Cheng, Sui Sun. Bifurcation in a Discrete-Time Piecewise Constant Dynamical System. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-475913
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475913