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...
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| Veröffentlicht in: | Discrete dynamics in nature and society 2015, Vol.2015 (2015), p.1-13 |
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| container_title | Discrete dynamics in nature and society |
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| creator | Dou, Liping Cheng, Sui Sun Hou, Chengmin |
| description | 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. |
| doi_str_mv | 10.1155/2015/610345 |
| format | Article |
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| ispartof | Discrete dynamics in nature and society, 2015, Vol.2015 (2015), p.1-13 |
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| source | Wiley Online Library Open Access; DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Alma/SFX Local Collection |
| subjects | Behavior Neural networks |
| title | Bifurcation Analysis for Nonlinear Recurrence Relations with Threshold Control and 2 k -Periodic Coefficients |
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