Effect of Cauchy noise on a network of quadratic integrate-and-fire neurons with non-Cauchy heterogeneities

DOI10.1016/J.PHYSLETA.2023.128972arXiv2305.02193MaRDI QIDQ6115329

Kestutis Pyragas, Viktoras Pyragas

Publication date: 12 July 2023

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.02193

zbMATH Keywords

bifurcation analysisOtt-Antonsen ansatzquadratic integrate-and-fire neuronsmean-field reductionnoisy neural networks

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07)

Related Items (1)

Desynchronization of large-scale neural networks by stabilizing unknown unstable incoherent equilibrium states

Cites Work

• Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review
• Dynamics of a network of quadratic integrate-and-fire neurons with bimodal heterogeneity
• Introduction to Nonextensive Statistical Mechanics
• Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation
• Statistical Physics of Synchronization
• A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
• Low dimensional behavior of large systems of globally coupled oscillators
• Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons
• MATCONT

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