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

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

Dec 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phrve..56.6451c&link_type=abstract

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 56, Issue 6, December 199

Physics

23

Scientific paper

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.

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