no code implementations • 9 Sep 2023 • Peter Ashwin, Andrea Ceni
Casting our theoretical findings in the RNN computing framework, we obtain that for small amplitude forcing the echo index corresponds to the number of attractors for the input-free system, while for large amplitude forcing, the echo index reduces to one.
no code implementations • 20 Jan 2021 • Anna S. von der Heydt, Peter Ashwin, Charles D. Camp, Michel Crucifix, Henk A. Dijkstra, Peter Ditlevsen, Timothy M. Lenton
Hence in this paper, we address the question: Can we (after 40 years) update the Mitchell (1976) diagram and provide it with a better interpretation?
Atmospheric and Oceanic Physics
1 code implementation • 9 Jul 2020 • Hassan Alkhayuon, Peter Ashwin
For cases where the attractors limit to equilibrium or periodic orbit in past and future limits of such an nonautonomous systems, these can occur as the parameter change passes through a critical rate.
Dynamical Systems
no code implementations • 27 Jul 2018 • Andrea Ceni, Peter Ashwin, Lorenzo Livi
Simulations conducted on a controlled benchmark task confirm the relevance of these attractors for interpreting the behaviour of recurrent neural networks, at least for tasks that involve learning a finite number of stable states and transitions between them.