Non-normal parameter blowout bifurcation: an example in a truncated mean field dynamo model
Abstract
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 we find examples of transient type I intermittency and blowout bifurcations to transient on-off intermittency, involving laminar phases in the invariant submanifold. In particular, our model provides examples of blowout bifurcations that occur on varying a non-normal parameter; that is, the parameter varies the dynamics within the invariant subspace at the same time as the dynamics normal to it. As a consequence of this we find that the Lyapunov exponents do not vary smoothly and the blowout bifurcation occurs over a range of parameter values rather than a point in the parameter space.
Keywords
Cite
@article{arxiv.chao-dyn/9709007,
title = {Non-normal parameter blowout bifurcation: an example in a truncated mean field dynamo model},
author = {Eurico Covas and Peter Ashwin and Reza Tavakol},
journal= {arXiv preprint arXiv:chao-dyn/9709007},
year = {2009}
}
Comments
Full paper with figures, also available on the web page http://www.maths.qmw.ac.uk/~eoc. Physical Review E, accepted