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

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.

References in corpus (3)

• Observation and characterization of chimera states in coupled dynamical systems with nonlocal coupling
• Self-organized alternating chimera states in oscillatory media
• Dynamics and bifurcations in multistable 3-cell neural networks

Cited by in corpus (7)

• Complex dynamics of a heterogeneous network of Hindmarsh-Rose neurons
• Phase chimera states on non-local hyperrings
• Spiral wave chimera-like transient dynamics in three-dimensional grid of diffusive ecological systems
• Chimera state in neural network with the Proportional-Integral-Derivative coupling
• Modulation of Neuronal Firing Modes by Electric Fields in a Thermosensitive FitzHugh-Nagumo Model
• Mobile oscillators in a mobile multi-cluster network
• Dynamic effects of electric field in hybrid coupling thermosensitive neuronal network