Chimera state in a neuronal network under the action of a magnetic field

Abstract

The Hindmarsh-Rose (HR) neuronal network has recently been the subject of studies highlighting the influence of the electric field on the chimera states within it. In this study, we demonstrate the influence of the magnetic field on three categories of chimera states previously discovered in the same network: the traveling chimera state, the traveling multicluster chimera state, and the traveling multicluster chimera breather. The study is entirely numerical and proceeds in each case with three different applications of the magnetic field: first, the entire network is subjected to the field; then, half of the network is subjected to it; and finally, two symmetrical but distinct regions are also subjected to the field. Several phenomena emerge, the most notable of which are the multitraveling chimera state and the multialternating chimera state. This thus illustrates the ability of the magnetic field to transform areas of incoherence into areas of coherence, thus enriching the synchronization field and throwing more light on the field's influence on brain cells.