Bifurcations of a Neural Network Model with Symmetry

DOI10.1137/22M1470451MaRDI QIDQ5056849

Andrea K. Barreiro, Ross Parker

Publication date: 8 December 2022

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.02713

zbMATH Keywords

symmetrydynamical systemsneural networksbifurcation theoryequivariant bifurcations

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcations of singular points in dynamical systems (37G10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Uses Software

• AUTO
• AUTO-07P
• GitHub

Cites Work

• Unnamed Item
• Symmetries constrain dynamics in a family of balanced neural networks
• Mathematical foundations of neuroscience
• Singularities and groups in bifurcation theory. Volume II
• Circular law
• The symmetry perspective. From equilibrium to chaos in phase space and physical space
• Pattern Formation
• Shaping Dynamics With Multiple Populations in Low-Rank Recurrent Networks

This page was built for publication: Bifurcations of a Neural Network Model with Symmetry