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Neural Processing Letters
Erschienen in: Neural Processing Letters 3/2018

28.08.2017

Local Bifurcation Analysis of a Fractional-Order Dynamic Model of Genetic Regulatory Networks with Delays

verfasst von: Qingshan Sun, Min Xiao, Binbin Tao

Erschienen in: Neural Processing Letters | Ausgabe 3/2018

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Abstract

In this paper, we propose a delayed fractional-order gene regulatory network model. Firstly, the sum of delays is chosen as the bifurcation parameter, and the conditions of the existence for Hopf bifurcations are achieved through analyzing its characteristic equation. Secondly, it is shown that the fractional order can be effectively manipulated to control the dynamics of such network, and the stability domain can be changed with different fractional orders. The fractional-order genetic network can generate a Hopf bifurcation (oscillation appears) as the sum of delays passes through some critical values. Therefore, we can achieve some desirable dynamical behaviors by choosing the appropriate fractional order. Finally, numerical simulations are carried out to illustrate the validity of our theoretical analysis.
Vorheriger Artikel A L-BFGS Based Learning Algorithm for Complex-Valued Feedforward Neural Networks
Nächster Artikel Stability Analysis of Anti-periodic Neutral Type SICNNs with D Operator

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Metadaten
Titel
Local Bifurcation Analysis of a Fractional-Order Dynamic Model of Genetic Regulatory Networks with Delays
verfasst von
Qingshan Sun
Min Xiao
Binbin Tao
Publikationsdatum
28.08.2017
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 3/2018
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-017-9690-7

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