Synchronization of Hindmarsh-Rose neurons via Huygens-like coupling. Issue 33 (2018)

• Record Type: Journal Article
• Authors: Velasco Equihua, Gerardo G.; Ramirez, Jonatan Pena
• Is Part Of: IFAC-PapersOnLine. Volume 51:Issue 33(2018)
• Page Start: 186
• Page End: 191
• Publication Date: 2018
• Subjects: Synchronization -- dynamic coupling -- Hindmarsh-Rose neuronal model -- electronic circuits -- master stability function; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2018.12.115
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: In this paper, we study the synchronization of two Hindmarsh-Rose neuronal models interacting to each other through a dynamic coupling. The design of the dynamic interconnection is inspired in the so-called Huygens' coupling, which in its simplest form is modeled by a second order linear system. In the analysis, it is assumed that only one state variable is available for measurement and the stability of the synchronous behavior is investigated by using the master stability function approach, in combination with the largest transverse Lyapunov exponent. Ultimately, the proposed synchronization scheme is experimentally validated by using electronic circuits, which emulate the dynamics of the Hindmarsh-Rose neuronal model.