4 papers
How to compute using globally coupled oscillators
Peter Ashwin, Jon Borresen
Synchronization is known to play a vital role within many highly connected neural systems such as the olfactory systems of fish and insects. In this paper we show how one can robus…
Symbolic analysis for some planar piecewise linear maps
Xin-Chu Fu, Peter Ashwin
In this paper a class of linear maps on the 2-torus and some planar piecewise isometries are discussed. For these discontinuous maps, by introducing codings underlying the map oper…
Symbolic Representations of Iterated Maps
Xin-Chu Fu, Weiping Lu, Peter Ashwin +1
This paper presents a general and systematic discussion of various symbolic representations of iterated maps through subshifts. We give a unified model for all continuous maps on a…
In-out intermittency in PDE and ODE models of axisymmetric mean-field dynamos
Eurico Covas, Reza Tavakol, Peter Ashwin +2
Employing some recent results in dynamics of systems with invariant subspaces we find evidence in both truncated and full axisymmetric mean-field dynamo models of a recently discov…