A modified hybrid Izhikevich neuron:modeling, synchronization, and experiments ⁎Partially supported by CONACYT Mexico. Issue 2 (2020)

• Record Type: Journal Article
• Authors: Ortega, Guillermo; Nunez, Ricardo; Ramirez, Jonatan Pena
• Is Part Of: IFAC-PapersOnLine. Volume 53:Issue 2(2020)
• Page Start: 5683
• Page End: 5688
• Publication Date: 2020
• Subjects: Izhikevich model -- hybrid system -- dynamic reset -- neuronal dynamics -- electronic neuron; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2020.12.1592
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: The original Izhikevich neuronal model is described by a nonlinear mathematical model with a static reset map. Due to the fact that the reset is applied instantaneously, it is not easy to implement this model with analog circuits. Consequently, this paper presents a modified Izhikevich neuronal model, in which the static and instantaneous reset is replaced by a dynamic reset, which is physically implementable. Furthermore, the resulting system is modeled as a hybrid system with two discrete modes. Additionally, the occurrence of synchronization in a pair of modified Izhikevich neurons is investigated and a comment on the local stability of the synchronous solution is given. Ultimately, the performance of the modified Izhikevich model is experimentally validated using electronic circuits.