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Neural Processing Letters
Erschienen in: Neural Processing Letters 2/2020

11.12.2019

Quantitative Analysis in Delayed Fractional-Order Neural Networks

verfasst von: Jun Yuan, Chengdai Huang

Erschienen in: Neural Processing Letters | Ausgabe 2/2020

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Abstract

This paper mainly investigates the influence of self-connection delay on bifurcation in a fractional neural network. The bifurcation criteria for the proposed systems with self-connection delay or without self-connection delay is figured out using time delay as a bifurcation parameter, respectively. The effects of self-connection delay on bifurcation in a fractional neural network are ascertained in this paper. Comparative analysis indicates that the stability performance of the proposed fractional neural networks is overly undermined by self-connection delay, which cannot be disregarded. In addition, the impact of fractional order on the bifurcation point is revealed. To highlight the proposed original results, two numerical examples are finally presented.
Vorheriger Artikel A Design Strategy for the Efficient Implementation of Random Basis Neural Networks on Resource-Constrained Devices
Nächster Artikel Exponential Lag Synchronization and Global Dissipativity for Delayed Fuzzy Cohen–Grossberg Neural Networks with Discontinuous Activations

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Literatur
1.
Machado J, Kiryakova V, Mainardi F (2011) Recent history of fractional calculus. Commun Nonlinear Sci Numer Simul 16:1140–1153MathSciNetCrossRef
2.
Podlubny I (1999) Fractional differential equations. Academic Press, New YorkMATH
3.
Arbi A, Alsaedi A, Cao J (2018) Delta-differentiable weighted pseudo-almost automorphicity on time-space scales for a novel class of high-order competitive neural networks with WPAA coefficients and mixed delays. Neural Process Lett 47(1):203–232CrossRef
4.
Wang Z, Li L, Li Y, Cheng Z (2018) Stability and hopf bifurcation of a three-neuron network with multiple discrete and distributed delays. Neural Process Lett 5:1–22
5.
6.
Li L, Wang Z, Li Y, Shen H, Lu J (2018) Hopf bifurcation analysis of a complex-valued neural network model with discrete and distributed delays. Appl Math Comput 330:152–169MathSciNetMATH
7.
Zhang Y, Li S, Guo H (2017) A type of biased consensus-based distributed neural network for path planning. Nonlinear Dyn 89(3):18031815MathSciNet
8.
Jin L, Zhang Y, Li S, Zhang Y (2016) Modified ZNN for time-varying quadratic programming with inherent tolerance to noises and its application to kinematic redundancy resolution of robot manipulators. IEEE Trans Ind Electr 63(11):6978–6988CrossRef
9.
Song C, Cao J (2014) Dynamics in fractional-order neural networks. Neurocomputing 142:494–498CrossRef
10.
Wang F, Yang Y (2018) Quasi-synchronization for fractional-order delayed dynamical networks with heterogeneous nodes. Appl Math Comput 339:1–14MathSciNetCrossRef
11.
Wang F, Yang Y, Hu M (2015) Asymptotic stability of delayed fractional-order neural networks with impulsive effects. Neurocomputing 154:239–244CrossRef
12.
Yang X, Li C, Song Q, Huang T, Chen X (2015) Mittag–Leffler stability analysis on variable-time impulsive fractional-order neural networks. Neurocomputing 207:276–286CrossRef
13.
Li Y, Chen Y, Podlubny I (2010) Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag–Leffler stability. Comput Math Appl 59(5):1810–1821MathSciNetCrossRef
14.
Wang F, Yang Y, Xu X, Li L (2017) Global asymptotic stability of impulsive fractional-order bam neural networks with time delay. Neural Comput Appl 28(2):345–352CrossRef
15.
Huang C, Cao J, Xiao M (2016) Hybrid control on bifurcation for a delayed fractional gene regulatory network. Chaos Solitons Fract 87:19–29MathSciNetCrossRef
16.
Zhao L, Cao J, Huang C, Alsaedi A, Al-Barakati A, Fardoun H (2017) Bifurcation control in a delayed two-neuron fractional network. Int J Control Autom Syst 15:1134–1144CrossRef
17.
Wang Z, Wang X, Li Y, Huang X (2018) Stability and Hopf bifurcation of fractional-order complex-valued single neuron model with time delay. Int J Bifurcat Chaos 27(13):945–955MathSciNet
18.
Zhao L, Cao J, Huang C, Xiao M, Alsaedi A, Ahmad B (2019) Bifurcation control in the delayed fractional competitive web-site model with incommensurate-order. Int J Mach Learn Cybern 10:173–186CrossRef
19.
Wang L, Zou X (2005) Stability and bifurcation of bidirectional associative memory neural networks with delayed self-feedback. Int J Bifurcat Chaos 15(7):2145–2159MathSciNetCrossRef
20.
Yuan S, Li X (2010) Stability and bifurcation analysis of an annular delayed neural network with self-connection. Neurocomputing 73:2905–2912CrossRef
21.
Xiao M, Zheng W, Jiang G, Cao J (2015) Undamped oscillations generated by Hopf bifurcations in fractional-order recurrent neural networks with caputo derivative. IEEE Trans Neural Netw Learn Syst 26(12):3201–3214MathSciNetCrossRef
22.
Huang C, Zhao X, Wang X, Wang Z, Xiao M, Cao J (2019) Disparate delays-induced bifurcations in a fractional-order neural network. J Franklin Inst 356(5):2825–2846MathSciNetCrossRef
23.
Huang C, Nie X, Zhao X, Song Q, Tu Z, Xiao M, Cao J (2019) Novel bifurcation results for a delayed fractional-order quaternion-valued neural network. Neural Netw 117:67–93CrossRef
24.
Huang C, Li Z, Ding D, Cao J (2018) Bifurcation analysis in a delayed fractional neural network involving self-connection. Neurocomputing 314:186–197CrossRef
25.
Matignon D (1996) Stability results for fractional differential equations with applications to control processing. Comput Eng Syst Appl 2:963–968
26.
Deng W, Li C, Lü J (2007) Stability analysis of linear fractional differential system with multiple time delays. Nonlinear Dyn 48(4):409–416MathSciNetCrossRef
27.
Huang C, Cao J (2018) Impact of leakage delay on bifurcation in high-order fractional BAM neural networks. Neural Netw 98:223–235CrossRef
28.
Huang C, Meng Y, Cao J, Alsaedi A, Alsaadi E (2017) New bifurcation results for fractional BAM neural network with leakage delay. Chaos Solitons Fract 100:31–44MathSciNetCrossRef
29.
Bhalekar S, Daftardar-Gejji V (2011) A predictor–corrector scheme for solving nonlinear delay differential equations of fractional order. Int J Fract Calc Appl 1(5):1–9MATH
Metadaten
Titel
Quantitative Analysis in Delayed Fractional-Order Neural Networks
verfasst von
Jun Yuan
Chengdai Huang
Publikationsdatum
11.12.2019
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 2/2020
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-019-10161-2

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