Chimera states in a neuronal network under the action of an electric field

Author(s)

Simo, Gael R. ^[1] ; Njougouo, Thierry ^[1] ; Aristides, R. P. ^[2] ; Louodop, Patrick ^[1] ; Tchitnga, Robert ^{[3, 1]} ; Cerdeira, Hilda A. ^{[2, 4]}

Affiliation

^[1] Univ Dschang, Fac Sci, Dept Phys, Res Unit Condensed Matter Elect & Signal Proc, POB 67, Dschang - Cameroon

^[2] Sao Paulo State Univ UNESP, Inst Fis Teor, Rua Doutor Bento Teobaldo Ferraz 271, Bloco 2, BR-01140070 Barra Funda, SP - Brazil

^[3] Univ Ulm, Inst Surface Chem & Catalysis, Albert Einstein Allee 47, D-89081 Ulm - Germany

^[4] Gomez & Gomez Ltda ME, Epistem, Cietec, Ave Prof Lineu Prestes 2242, Sala 244, BR-05508000 Sao Paulo - Brazil

• Document type: Journal article
• Source: Physical Review E; v. 103, n. 6 JUN 8 2021.
• Web of Science Citations: 1

Abstract

The phenomenon of the chimera state symbolizes the coexistence of coherent and incoherent sections of a given population. This phenomenon identified in several physical and biological systems presents several variants, including the multichimera states and the traveling chimera state. Here, we numerically study the influence of a weak external electric field on the dynamics of a network of Hindmarsh-Rose (HR) neurons coupled locally by an electrical interaction and nonlocally by a chemical one. We first focus on the phenomena of traveling chimera states and multicluster oscillating breathers that appear in the electric field's absence. Then in the field's presence, we highlight the presence of a chimera state, a multichimera state, an alternating chimera state, and a multicluster traveling chimera. (AU)

• FAPESP's process: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
• Grantee: Nathan Jacob Berkovits
• Support Opportunities: Special Projects