64 citations · 390 across the 24 of their papers we have counts for
3 papers · 2 filters
Excitable Networks for Finite State Computation with Continuous Time Recurrent Neural Networks
Peter Ashwin, Claire M Postlethwaite
Continuous time recurrent neural networks (CTRNN) are systems of coupled ordinary differential equations that are simple enough to be insightful for describing learning and computa…
Stability of cycling behaviour near a heteroclinic network model of Rock-Paper-Scissors-Lizard-Spock
Claire M Postlethwaite, Alastair M Rucklidge
The well-known game of Rock--Paper--Scissors can be used as a simple model of competition between three species. When modelled in continuous time using differential equations, the…
The Echo Index and multistability in input-driven recurrent neural networks
Andrea Ceni, Peter Ashwin, Lorenzo Livi +1
A recurrent neural network (RNN) possesses the echo state property (ESP) if, for a given input sequence, it ``forgets'' any internal states of the driven (nonautonomous) system and…