Akademik Veri Yönetim Sistemi
Nonlinear Dynamics, cilt.110, sa.4, ss.3791-3806, 2022 (SCI-Expanded)
© 2022, The Author(s), under exclusive licence to Springer Nature B.V.In this study, the usability of the order of the coupling function has been discussed instead of the synaptic weight parameter for the synchronization. In this context, it is primarily aimed to observe the effects of the fractional-order variations on the neural dynamics of an individual Izhikevich neuron, so several numerical simulation studies have been performed. In these numerical simulations, the Grünwald–Letnikov (G–L) method has been used for the solutions of the fractional-order Izhikevich neuron model. Then, two Izhikevich neurons, which are defined by the same fractional order, have been coupled. The fractional orders of the coupling functions have been changed by keeping the synaptic weight parameters at a constant. Thus, the effect of the fractional-order variations of the coupling functions on the synchronization states of the coupled neurons has been observed. Finally, a parameter estimation study has been performed. Two coupled Izhikevich neurons, which have different initial conditions, have been become a synchronous system by setting the fractional orders of their coupling functions to the appropriate values. Genetic algorithm and artificial bee colony (ABC) algorithm have been used in this estimation process. Thirty times repeated runs have been made to check the robustness of these algorithms. The results of these multiple runs for both GA and ABC algorithms have been presented with the graphs. Additionally, this process is applied to four different dynamical patterns in order to show the usability of the fractional order instead of the synaptic weight parameter of the fractional-order variations for the synchronization.