Excitable networks for finite state computation with continuous time recurrent neural networks

DOI10.1007/s00422-021-00895-5OpenAlexW3203432178MaRDI QIDQ2069020

Peter Ashwin, Claire M. Postlethwaite

Publication date: 20 January 2022

Published in: Biological Cybernetics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.04129

zbMATH Keywords

nonlinear dynamicscontinuous time recurrent neural networkexcitable network attractor

Mathematics Subject Classification ID

Artificial intelligence (68Txx) Graph theory (05Cxx) Ordinary differential equations (34-XX)

Uses Software

• AUTO
• AUTO-07P

Cites Work

• Unnamed Item
• Designing heteroclinic and excitable networks in phase space using two populations of coupled cells
• ``Neural computation of decisions in optimization problems
• Almost complete and equable heteroclinic networks
• Generation and reshaping of sequences in neural systems
• Structurally stable heteroclinic cycles
• Nonlinear Aspects of Competition Between Three Species
• A competition between heteroclinic cycles
• A class of piecewise linear differential equations arising in biological models
• HETEROCLINIC CONTOURS IN NEURAL ENSEMBLES AND THE WINNERLESS COMPETITION PRINCIPLE
• Bifurcations in the Wilson--Cowan Equations with Nonsmooth Firing Rate
• On the origin of reproducible sequential activity in neural circuits