Chimera-like states in modular neural networks

Abstract

Chimera states, namely the coexistence of coherent and incoherent behavior, were previously analyzed in complex networks. However, they have not been extensively studied in modular networks. Here, we consider the neural network of the \textit{C.elegans} soil worm, organized into six interconnected communities, where neurons obey chaotic bursting dynamics. Neurons are assumed to be connected with electrical synapses within their communities and with chemical synapses across them. As our numerical simulations reveal, the coaction of these two types of coupling can shape the dynamics in such a way that chimera-like states can happen. They consist of a fraction of synchronized neurons which belong to the larger communities, and a fraction of desynchronized neurons which are part of smaller communities. In addition to the Kuramoto order parameter $\rho$, we also employ other measures of coherence, such as the chimera-like $\chi$ and metastability $\lambda$ indices, which quantify the degree of synchronization among communities and along time, respectively. We perform the same analysis for networks that share common features with the \textit{C.elegans} neural network. Similar results suggest that under certain assumptions, chimera-like states are prominent phenomena in modular networks, and might provide insight for the behavior of more complex modular networks.

10 pages, 3 figures

References in corpus (13)

• Synchronization in complex networks
• Scale-free brain functional networks
• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Clustered chimera states in delay coupled oscillator systems
• Remote synchronization reveals network symmetries and functional modules
• Robustness of chimera states for coupled FitzHugh-Nagumo oscillators
• Spontaneous Synchrony Breaking
• Instability of synchronized motion in nonlocally coupled neural oscillators
• From modular to centralized organization of synchronization in functional areas of the cat cerebral cortex
• Chimeras in SQUID Metamaterials
• Clustered Chimera States in Systems of Type-I Excitability
• Do Brain Networks Evolve by Maximizing their Information Flow Capacity?
• Detecting phase synchronization by localized maps: Application to neural networks

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• Effect of Topology upon Relay Synchronization in Triplex Neuronal Networks
• Chimera-like behavior in a heterogeneous Kuramoto model: the interplay between the attractive and repulsive coupling
• Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback control
• Spike-burst chimera states in an adaptive exponential integrate-and-fire neuronal network
• Amplitude chimera and chimera death induced by external dynamical agents
• Threefold way to the dimension reduction of dynamics on networks: an application to synchronization
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• Chimera states and synchronization in magnetically driven SQUID metamaterials
• Machine learning with observers predicts complex spatiotemporal behavior
• Identification of Chimera using Machine Learning
• Dynamical Complexity in the C.elegans Neural Network
• Chimera States and Seizures in a Mouse Neuronal Model
• Minimal Chimera States in Phase-Lag Coupled Mechanical Oscillators
• Synchronization of wave structures in a heterogeneous multiplex network of 2D vdP lattices with attractive and repulsive intra-layer coupling
• Machine Learning assisted Chimera and Solitary states in Networks
• Symmetry-breaking mechanism for the formation of cluster chimera patterns
• Transient Chaos Generates Small Chimeras
• Chimera states in neural networks and power systems
• Stationary patterns in star networks of bistable units: Theory and application to chemical reactions
• Spiral wave chimera-like transient dynamics in three-dimensional grid of diffusive ecological systems
• Labyrinth chaos: Revisiting the elegant, chaotic and hyperchaotic walks
• Chimera-like States in Structured Heterogeneous Networks
• Dynamical heterogeneity and universality of power-grids
• Chimera states and information transfer in interacting populations of map-based neurons
• Chimera states in a network-organized public goods game with destructive agents
• Chimera states for directed networks
• From Order to Chimeras: Unraveling Dynamic Patterns in Active Fluids with Nonlinear Growth