Loading…
Bifurcation Analysis for Nonlinear Recurrence Relations with Threshold Control and 2 k -Periodic Coefficients
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...
Saved in:
Published in: | Discrete dynamics in nature and society 2015, Vol.2015 (2015), p.1-13 |
---|---|
Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Summary: | 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. |
---|---|
ISSN: | 1026-0226 1607-887X |
DOI: | 10.1155/2015/610345 |