chimera-magnetic-field-neuronal

name	chimera-magnetic-field-neuronal
description	Methodology for studying magnetic field effects on chimera states in Hindmarsh-Rose neuronal networks. Covers traveling chimera, multicluster chimera, and multicluster chimera breather transformations under spatial magnetic field applications.
version	1.0.0
author	Hermes Agent
license	MIT
metadata	{"hermes":{"tags":["chimera-state","hindmarsh-rose","magnetic-field","neuronal-dynamics","synchronization","neural-network","brain-cells","collective-dynamics"],"category":"ai_collection","arxiv_id":"2607.07426","arxiv_url":"https://arxiv.org/abs/2607.07426","published":"2026-07-08","authors":["Gael R Simo","Carmel T lambu","Adamou Dang Koko","Patrick Louodop","Robert Tchitnga","Hilda A. Cerdeira"],"categories":["nlin.AO"],"trigger_words":["chimera state","magnetic field","hindmarsh-rose","neuronal network","traveling chimera","multicluster chimera","chimera breather","synchronization","coherence","incoherence","brain cells"]}}
created	2026-07-12
updated	2026-07-12

Chimera State in a Neuronal Network under the Action of a Magnetic Field

arXiv: 2607.07426 | Published: 2026-07-08 | Authors: Gael R Simo, Carmel T lambu, Adamou Dang Koko, Patrick Louodop, Robert Tchitnga, Hilda A. Cerdeira

Core Thesis

This study demonstrates the influence of magnetic fields on three categories of chimera states in Hindmarsh-Rose (HR) neuronal networks:

1. Traveling chimera state
2. Traveling multicluster chimera state
3. Traveling multicluster chimera breather

The key discovery: magnetic fields can transform areas of incoherence into areas of coherence, enriching the synchronization field and providing insights into how magnetic fields affect brain cells.

Key Concepts

Chimera States

A chimera state is a dynamical pattern in a network of identical oscillators where coherent (synchronized) and incoherent (desynchronized) domains coexist. In neuronal networks, this corresponds to some brain regions showing synchronized activity while others remain chaotic.

Three Chimera Categories

1. Traveling Chimera: The coherent/incoherent boundary moves through the network over time
2. Traveling Multicluster Chimera: Multiple coherent clusters travel through the network
3. Traveling Multicluster Chimera Breather: The clusters exhibit breathing (expansion/contraction) dynamics while traveling

Magnetic Field Application Patterns

The study applies magnetic fields in three spatial configurations:

1. Full network application: Entire network subjected to magnetic field
2. Half-network application: One half of the network subjected to field
3. Dual-region application: Two symmetrical but distinct regions subjected to field

Emergent Phenomena

• Multitraveling Chimera State: Multiple coherent/incoherent domains traveling independently
• Multialternating Chimera State: Coherent and incoherent domains alternating in time and space

Hindmarsh-Rose Model

The HR model describes neuronal spiking-bursting dynamics:

dx/dt = y - ax³ + bx² - z + I_ext
dy/dt = c - dx² - y
dz/dt = ε(s(x - x₀) - z) + ε·B(t)

Where: