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Non-normal parameter blowout bifurcation: An example in a truncated mean-field dynamo model

Covas, Eurico, Ashwin, Peter and Tavakol, Reza (1997) Non-normal parameter blowout bifurcation: An example in a truncated mean-field dynamo model Physical Review E, 56. pp. 6451-6458.

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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.

Item Type: Article
Additional Information: Published in Physical Review E, 56, 6451-6458. © 1997 The American Physical Society.
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:40
Last Modified: 23 Sep 2013 18:32
URI: http://epubs.surrey.ac.uk/id/eprint/1374

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