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Asymmetry in electrical coupling between neurons alters multistable firing behavior.

A N Pisarchik1, R Jaimes-Reátegui2, M A García-Vellisca1

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Chaos (Woodbury, N.Y.)
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Asymmetry in electrical synapses between neuronal oscillators creates multiple stable states, including chaotic and periodic behaviors. This finding, observed in the Hindmarsh-Rose model, was validated using analog electronic circuits.

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Area of Science:

  • Computational Neuroscience
  • Nonlinear Dynamics
  • Complex Systems

Background:

  • Neuronal oscillators are fundamental units in brain function.
  • Electrical synapses facilitate rapid information transfer between neurons.
  • Understanding synaptic properties is key to deciphering neural network dynamics.

Purpose of the Study:

  • To investigate the impact of asymmetry in electrical synaptic connections on neuronal oscillator dynamics.
  • To explore the emergence of multistability in coupled Hindmarsh-Rose neuronal models.

Main Methods:

  • Utilized the Hindmarsh-Rose model for simulating neuronal oscillators.
  • Analyzed spiking dynamics using time series, phase portraits, and bifurcation diagrams.
  • Quantified system behavior with Lyapunov exponents and statistical measures of neuronal activity.

Main Results:

  • Demonstrated that asymmetry in electrical coupling induces multistability.
  • Identified the coexistence of at least three attractors: one chaotic and two periodic orbits.
  • Confirmed numerical findings through experiments with analog electronic circuits.

Conclusions:

  • Synaptic asymmetry is a critical factor in generating complex dynamics in neuronal networks.
  • Multistability in neuronal spiking offers a mechanism for flexible information processing.
  • The Hindmarsh-Rose model effectively captures essential features of asymmetric synaptic coupling.