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The European Physical Journal Special Topics· 2026Q2

Chimera states in chemically coupled neurons based on the Hindmarsh–Rose model

Ricardo de Biazzi, Marcio Eisencraft, Antonio Marcos Batista

Short summary

Chimera states, characterized by coexisting synchronized and desynchronized neurons, emerge in small networks of Hindmarsh–Rose neurons coupled via chemical synapses.

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Key points

  • Chimera states were observed in networks of Hindmarsh–Rose neurons using chemical synapses.
  • A minimal network of three pairs of neurons was used, with two pairs exhibiting fixed firing patterns and a central pair perturbed.
  • Varying synaptic coupling strengths led to the coexistence of regular spiking, irregular spiking, and bursting behaviors, indicative of chimera states.
  • Chimera states can be induced across broad coupling-strength parameter ranges in small chemical-synapse networks.

AI-generated from the title and abstract; the full text is not read.

Abstract

Abstract We investigate the emergence of chimera states in networks of chemically coupled Hindmarsh–Rose neurons. First, we analyze the dynamics of a single pair of bidirectionally coupled neurons to identify the parameter ranges and initial conditions leading to spike and burst synchronization. Using these findings, we construct a minimal network of three pairs of neurons, where two pairs exhibit fixed spike or burst firing patterns and perturb a central pair. By varying the synaptic coupling strengths, we observe the coexistence of regular spiking, irregular spiking, and bursting behaviors, resulting in chimera states. These results show that chimera states can be induced over extended regions of the coupling-strength parameter space in small chemical-synapse networks and provide new insights into the mechanisms underlying partial synchronization in neuronal systems.

The authors' abstract, as published at the source. The European Physical Journal Special Topics, 2026 · DOI ↗

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Field: Computer Networks and Communications

Computer Networks and CommunicationsComputer Science