74 citations · 169 across the 11 of their papers we have counts for
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math.DS2020
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…
math.DS2020
Weak tracking in nonautonomous chaotic systems
Hassan Alkhayuon, Peter Ashwin
Previous studies have shown that rate-induced transitions can occur in pullback attractors of systems subject to "parameter shifts" between two asymptotically steady values of a sy…
math.DS2020
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…