74 citations · 169 across the 11 of their papers we have counts for
5 papers · 1 filter
Almost complete and equable heteroclinic networks
Peter Ashwin, Sofia Castro, Alexander Lohse
Heteroclinic connections are trajectories that link invariant sets for an autonomous dynamical flow: these connections can robustly form networks between equilibria, for systems wi…
Interpreting recurrent neural networks behaviour via excitable network attractors
Andrea Ceni, Peter Ashwin, Lorenzo Livi
Introduction: Machine learning provides fundamental tools both for scientific research and for the development of technologies with significant impact on society. It provides metho…
Embeddings of interval exchange transformations into planar piecewise isometries
Peter Ashwin, Arek Goetz, Pedro Peres +1
Although piecewise isometries (PWIs) are higher dimensional generalizations of one dimensional interval exchange transformations (IETs), their generic dynamical properties seem to…
Sequential escapes: onset of slow domino regime via a saddle connection
Peter Ashwin, Jennifer Creaser, Krasimira Tsaneva-Atanasova
We explore sequential escape behaviour of coupled bistable systems under the influence of stochastic perturbations. We consider transient escapes from a marginally stable "quiescen…
Chaotic and non-chaotic response to quasiperiodic forcing: limits to predictability of ice ages paced by Milankovitch forcing
Peter Ashwin, Charles David Camp, Anna S. von der Heydt
It is well known that periodic forcing of a nonlinear system, even of a two-dimensional autonomous system, can produce chaotic responses with sensitive dependence on initial condit…