Bifurcation Analysis for Nonlinear Recurrence Relations with Threshold Control and 2 k -Periodic Coefficients
Joint Authors
Hou, Chengmin
Dou, Liping
Cheng, Sui Sun
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-22
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A nonlinear recurrence involving a piecewise constant McCulloch-Pittsfunction and 2 k -periodic coefficient sequences is investigated.
Byallowing the threshold parameter to vary from 0 to ∞ , we work outa complete bifurcation analysis for the asymptotic behaviors of thecorresponding solutions.
Among other things, we show that each solutiontends towards one of four different limits.
Furthermore, the accompanying initialregions for each type of solutions can be determined.
It is hoped that ouranalysis will provide motivation for further results for recurrentMcCulloch-Pitts type neural networks.
American Psychological Association (APA)
Dou, Liping& Hou, Chengmin& Cheng, Sui Sun. 2015. Bifurcation Analysis for Nonlinear Recurrence Relations with Threshold Control and 2 k -Periodic Coefficients. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1060698
Modern Language Association (MLA)
Dou, Liping…[et al.]. Bifurcation Analysis for Nonlinear Recurrence Relations with Threshold Control and 2 k -Periodic Coefficients. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1060698
American Medical Association (AMA)
Dou, Liping& Hou, Chengmin& Cheng, Sui Sun. Bifurcation Analysis for Nonlinear Recurrence Relations with Threshold Control and 2 k -Periodic Coefficients. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1060698
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060698
