| 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:
- Traveling chimera state
- Traveling multicluster chimera state
- 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
- Traveling Chimera: The coherent/incoherent boundary moves through the network over time
- Traveling Multicluster Chimera: Multiple coherent clusters travel through the network
- 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:
- Full network application: Entire network subjected to magnetic field
- Half-network application: One half of the network subjected to field
- 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:
