Delayed feedback control of phase synchronisation in a neuronal network model

Author(s):Show less -

Mugnaine, Michele ^[1] ; Reis, Adriane S. ^[2] ; Borges, Fernando S. ^[3] ; Borges, Rafael R. ^[4] ; Ferrari, Fabiano A. S. ^[5] ; Iarosz, Kelly C. ^{[6, 7, 8]} ; Caldas, Ibere L. ^[8] ; Lameu, Ewandson L. ^{[6, 9]} ; Viana, Ricardo L. ^[2] ; Szezech, Jr., Jose D. ^{[10, 1]} ; Kurths, Juergen ^{[6, 7]} ; Batista, Antonio M. ^{[7, 10, 1]}

Affiliation

^[1] Univ Estadual Ponta Grossa, Grad Sci Program, Ponta Grossa, PR - Brazil

^[2] Univ Fed Parana, Dept Phys, Curitiba, Parana - Brazil

^[3] Fed Univ ABC, Ctr Math Computat & Cognit, Sao Bernardo Do Campo, SP - Brazil

^[4] Fed Technol Univ Parana, Dept Math, Ponta Grossa, PR - Brazil

^[5] Fed Univ Vales Jequitinhonha & Macuri, Inst Engn Sci & Technol, Janauba, MG - Brazil

^[6] Humboldt Univ, Dept Phys, Berlin - Germany

^[7] Potsdam Inst Climate Impact Res, Potsdam - Germany

^[8] Univ Sao Paulo, Inst Phys, Sao Paulo, SP - Brazil

^[9] Natl Inst Space Res, Sao Jose Dos Campos, SP - Brazil

^[10] Univ Estadual Ponta Grossa, Dept Math & Stat, Ponta Grossa, PR - Brazil

• Document type: Journal article
• Source: European Physical Journal-Special Topics; v. 227, n. 10-11, p. 1151-1160, NOV 2018.
• Web of Science Citations: 3

Abstract

The human cerebral cortex can be separated into cortical areas forming a clustered network structure. We build two different clustered networks, where one network is based on a healthy brain and the other according to a brain affected by a neurodegenerative process. Each cortical area has a subnetwork with small-world properties. We verify that both networks exhibit rich-club organisation and phase synchronisation. Due to the fact that neuronal synchronisation can be related to brain diseases, we consider the delayed feedback control as a method to suppress synchronous behaviours. In this work, it is presented that depending on the feedback parameters, intensity and time delay, phase synchronisation in both networks can be suppressed. Therefore, one of our main results is to show that delayed feedback control can be used to suppress undesired synchronous behaviours not only in the healthy brain, but also in the brain marked by neurodegenerative processes. (AU)

• FAPESP's process: 17/18977-1 - Analysis of Electrical Synapses Contribution in Neuronal Synchronization
• Grantee: Fernando da Silva Borges
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 17/20920-8 - Plasticity in neuronal networks
• Grantee: Kelly Cristiane Iarosz
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• FAPESP's process: 16/23398-8 - Synaptic plasticity in neuronal networks with time delay
• Grantee: Ewandson Luiz Lameu
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 15/07311-7 - Dynamic behaviour of neural networks
• Grantee: Kelly Cristiane Iarosz
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 17/13502-5 - Synchronisation in time-delayed networks with synaptic plasticity
• Grantee: Ewandson Luiz Lameu
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• FAPESP's process: 15/50122-0 - Dynamic phenomena in complex networks: basics and applications
• Grantee: Elbert Einstein Nehrer Macau
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 11/19296-1 - Nonlinear dynamics
• Grantee: Iberê Luiz Caldas
• Support Opportunities: Research Projects - Thematic Grants