Discretization, bifurcation analysis and chaos control for Schnakenberg model

2020 ◽  
Vol 58 (8) ◽  
pp. 1615-1649
Author(s):  
Qamar Din ◽  
Kamran Haider
2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Muhammad Bilal Ajaz ◽  
Umer Saeed ◽  
Qamar Din ◽  
Irfan Ali ◽  
Muhammad Israr Siddiqui

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Emad E. Mahmoud ◽  
Lone Seth Jahanzaib ◽  
Pushali Trikha ◽  
Omar A. Almaghrabi

AbstractThe fractional Hopfield neural network (HNN) model is studied here analyzing its symmetry, uniqueness of the solution, dissipativity, fixed points etc. A Lyapunov and bifurcation analysis of the system is done for specific as well as variable fractional order. Since a very long time ago, HNN has been carefully studied and applied in various fields. Because of the exceptional non-linearity of the neuron activation function, the HNN system is stoutly non-linear. Chaos control using adaptive SMC considering disturbances and uncertainties is done about randomly chosen points by designing suitable controllers. Numerical simulations performed in MATLAB verify the efficacy of the designed controllers.


2013 ◽  
Vol 51 (8) ◽  
pp. 2001-2019 ◽  
Author(s):  
Ping Liu ◽  
Junping Shi ◽  
Yuwen Wang ◽  
Xiuhong Feng

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