714 citations · 2.7k across the 56 of their papers we have counts for
5 papers · 1 filter
Invariant sets for discontinuous parabolic area-preserving torus maps
Peter Ashwin, Xin-Chu Fu, Takashi Nishikawa +1
We analyze a class of piecewise linear parabolic maps on the torus, namely those obtained by considering a linear map with double eigenvalue one and taking modulo one in each compo…
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…
Transverse instability for non-normal parameters
Peter Ashwin, Eurico Covas, Reza Tavakol
We consider the behaviour of attractors near invariant subspaces on varying a parameter that does not preserve the dynamics in the invariant subspace but is otherwise generic, in a…
Non-normal parameter blowout bifurcation: an example in a truncated mean field dynamo model
Eurico Covas, Peter Ashwin, Reza Tavakol
We examine global dynamics and bifurcations occurring in a truncated model of a stellar mean field dynamo. This model has symmetry-forced invariant subspaces for the dynamics and w…
Cycling chaos: its creation, persistence and loss of stability in a model of nonlinear magnetoconvection
Peter Ashwin, A. M. Rucklidge
We examine a model system where attractors may consist of a heteroclinic cycle between chaotic sets; this `cycling chaos' manifests itself as trajectories that spend increasingly l…