Template analysis of a Faraday disk dynamo
Mathematical Institute, 24-29 St. Giles', Oxford, OX1 3LB, UK
Corresponding author: firstname.lastname@example.org
In a recent paper Moroz  returned to a nonlinear three-dimensional model of dynamo action for a self-exciting Faraday disk dynamo introduced by Hide et al. . Since only two examples of chaotic behaviour were shown in , Moroz  performed a more extensive analysis of the dynamo model, producing a selection of bifurcation transition diagrams, including those encompassing the two examples of chaotic behaviour in . Unstable periodic orbits were extracted and presented in , but no attempt was made to identify the underlying chaotic attractor. We rectify that here. Illustrating the procedure with one of the cases considered in , we use some of the unstable periodic orbits to identify a possible template for the chaotic attractor, using ideas from topology . In particular, we investigate how the template is affected by changes in bifurcation parameter.
© EDP Sciences, Springer-Verlag, 2008