Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons
arXiv:2009.11589 · doi:10.1063/5.0031630
Abstract
We study the macroscopic dynamics of large networks of excitable type 1 neurons composed of two populations interacting with disparate but symmetric intra- and inter-population coupling strengths. This nonuniform coupling scheme facilitates symmetric equilibria, where both populations display identical firing activity, characterized by either quiescent or spiking behavior, or asymmetric equilibria, where the firing activity of one population exhibits quiescent but the other exhibits spiking behavior. Oscillations in the firing rate are possible if neurons emit pulses with non-zero width but are otherwise quenched. Here, we explore how collective oscillations emerge for two statistically identical neuron populations in the limit of an infinite number of neurons. A detailed analysis reveals how collective oscillations are born and destroyed in various bifurcation scenarios and how they are organized around higher codimension bifurcation points. Since both symmetric and asymmetric equilibria display bistable behavior, a large configuration space with steady and oscillatory behavior is available. Switching between configurations of neural activity is relevant in functional processes such as working memory and the onset of collective oscillations in motor control.
References in corpus (22)
- Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
- Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
- Solvable model for chimera states of coupled oscillators
- The physics of brain network structure, function, and control
- Macroscopic description for networks of spiking neurons
- Metastable Chimera States in Community-Structured Oscillator Networks
- Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
- Dynamic information routing in complex networks
- Phase Diagram for the Winfree Model of Coupled Nonlinear Oscillators
- Controlling Chimeras
- Firing rate equations require a spike synchrony mechanism to correctly describe fast oscillations in inhibitory networks
- Basins of Attraction for Chimera States
- Bistable Chimera Attractors on a Triangular Network of Oscillator Populations
- Theta-nested gamma oscillations in next generation neural mass models
- Chimera states in two populations with heterogeneous phase-lag
- A next generation neural field model: The evolution of synchrony within patterns and waves
- Chaos in Kuramoto oscillator networks
- First-order synchronization transition in a large population of strongly coupled relaxation oscillators
- Optimal self-induced stochastic resonance in multiplex neural networks: electrical versus chemical synapses
- Cross frequency coupling in next generation inhibitory neural mass models
- Symmetry breaking in two interacting populations of quadratic integrate-and-fire neurons
- Directed Flow of Information in Chimera States