Self-similar network model for fractional-order neuronal spiking: implications of dendritic spine functions

Nonlinear Dynamics ◽

10.1007/s11071-020-05519-4 ◽

2020 ◽

Vol 100 (1) ◽

pp. 921-935

Author(s):

Jianqiao Guo ◽

Yajun Yin ◽

Xiaolin Hu ◽

Gexue Ren

Keyword(s):

Fractional Order ◽

Network Model ◽

Dendritic Spine ◽

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The Self–similar Solution to Some Nonlinear Integro–differential Equations Corresponding to Fractional Order Time Derivative

Acta Mathematica Sinica English Series ◽

10.1007/s10114-005-0546-0 ◽

2005 ◽

Vol 21 (6) ◽

pp. 1337-1350 ◽

Author(s):

Chang Xing Miao ◽

Han Yang

Keyword(s):

Differential Equations ◽

Fractional Order ◽

Time Derivative ◽

The Self ◽

Similar Solution ◽

Self Similar Solution ◽

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Global $$O(t^{-\alpha })$$ Synchronization of Fractional-Order Non-autonomous Neural Network Model with Time Delays Through Centralized Data-Sampling Approach

Mediterranean Journal of Mathematics ◽

10.1007/s00009-019-1432-9 ◽

2019 ◽

Vol 17 (1) ◽

Author(s):

M. Chowdhury ◽

P. Das ◽

A. Das

Keyword(s):

Neural Network ◽

Fractional Order ◽

Network Model ◽

Neural Network Model ◽

Time Delays ◽

Data Sampling ◽

Sampling Approach

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Mechanical behaviors and the equivalent network model of self-similar multinetwork elastomers

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2021.111135 ◽

2021 ◽

pp. 111135

Author(s):

Zeang Zhao ◽

Dong Wu ◽

Ming Lei ◽

Qiang Zhang ◽

Panding Wang ◽

...

Keyword(s):

Network Model ◽

Mechanical Behaviors ◽

Equivalent Network ◽

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Stability analysis and Hopf bifurcation control of a fractional-order small world network model based on pd controller

2016 IEEE Information Technology, Networking, Electronic and Automation Control Conference ◽

10.1109/itnec.2016.7560431 ◽

2016 ◽

Author(s):

Mengxi Wang ◽

Wei Hu ◽

Rui Sun ◽

Dawei Ding

Keyword(s):

Stability Analysis ◽

Hopf Bifurcation ◽

Fractional Order ◽

Network Model ◽

Small World ◽

Bifurcation Control ◽

Small World Network ◽

Pd Controller ◽

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Hybrid control of Hopf bifurcation in a fractional order small-world network model

Proceedings of the 2015 International Conference on Advances in Mechanical Engineering and Industrial Informatics ◽

10.2991/ameii-15.2015.227 ◽

2015 ◽

Author(s):

Lina Ma ◽

Xiuli Zhang ◽

Dawei Ding

Keyword(s):

Hopf Bifurcation ◽

Fractional Order ◽

Network Model ◽

Hybrid Control ◽

Small World ◽

Small World Network

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Stability analysis of a delay Fractional-order Gene Regulatory Network model with Impulse control

2019 Chinese Automation Congress (CAC) ◽

10.1109/cac48633.2019.8996856 ◽

2019 ◽

Author(s):

Zhe Zhang ◽

Jing Zhang ◽

Can Ding ◽

Yufeng Zhang ◽

Fanyong Cheng ◽

...

Keyword(s):

Stability Analysis ◽

Gene Regulatory Network ◽

Fractional Order ◽

Network Model ◽

Regulatory Network ◽

Impulse Control ◽

Gene Regulatory

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Stability and Hopf bifurcation control of a fractional-order small world network model

SCIENTIA SINICA Physica, Mechanica & Astronomica ◽

10.1360/132012-733 ◽

2013 ◽

Vol 43 (4) ◽

pp. 467-477 ◽

Author(s):

ZaiHua WANG ◽

Min SHI

Keyword(s):

Hopf Bifurcation ◽

Fractional Order ◽

Network Model ◽

Small World ◽

Bifurcation Control ◽

Small World Network

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Nonuniformity in the linear network model of the oculomotor integrator produces approximately fractional-order dynamics and more realistic neuron behavior

Biological Cybernetics ◽

10.1007/s004220050487 ◽

1998 ◽

Vol 79 (5) ◽

pp. 377-391 ◽

Author(s):

Thomas J. Anastasio

Keyword(s):

Fractional Order ◽

Network Model ◽

Linear Network ◽

Realistic Neuron

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Hopf bifurcation analysis of a delayed fractional-order genetic regulatory network model

Neurocomputing ◽

10.1016/j.neucom.2017.09.018 ◽

2018 ◽

Vol 275 ◽

pp. 677-686 ◽

Author(s):

Binbin Tao ◽

Min Xiao ◽

Qingshan Sun ◽

Jinde Cao

Keyword(s):

Hopf Bifurcation ◽

Fractional Order ◽

Network Model ◽

Bifurcation Analysis ◽

Regulatory Network ◽

Genetic Regulatory Network

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On the Fractional-Order 3D △×n Memristor-LC Circuit Network Model

Electric Power Components and Systems ◽

10.1080/15325008.2018.1471106 ◽

2019 ◽

Vol 47 (6-7) ◽

pp. 537-550

Author(s):

Yan Long ◽

Rui Zhou ◽

Zhenduo Zhang ◽

Diyi Chen ◽

Wei Yao ◽

...

Keyword(s):

Fractional Order ◽

Network Model ◽

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