Bistability and chaos in Taylor-Green dynamo
arXiv:1109.4894 · doi:10.1103/PhysRevE.85.036301
Abstract
Using direct numerical simulations we study dynamo action under the Taylor-Green forcing with Prandtl number less than one. We observe bistability with a weak magnetic field branch and a strong magnetic field branch. Both the dynamo branches undergo subcritical dynamo transition. We also observe host of dynamo states including constant, periodic, quasiperiodic, and chaotic magnetic fields. One of the chaotic state originates through a quasiperiodic route with phase locking, while another chaotic attractor appears to follow Newhouse-Ruelle-Takens route to chaos. We also observe intermittent transitions among quasiperiodic and chaotic states for a given Taylor-Green forcing.
8 pages, 10 figures
References in corpus (12)
- Astrophysical magnetic fields and nonlinear dynamo theory
- Generation of magnetic field by dynamo action in a turbulent flow of liquid sodium
- Numerical study of dynamo action at low magnetic Prandtl numbers
- The dynamo bifurcation in rotating spherical shells
- On the magnetic fields generated by experimental dynamos
- Weak and Strong Field Dynamos: from the Earth to the stars
- Axial dipolar dynamo action in the Taylor-Green vortex
- Subcritical dynamo bifurcation in the Taylor Green flow
- Bifurcation and chaos in zero Prandtl number convection
- Study on the large scale dynamo transition
- Dynamo Onset as a First-Order Transition: Lessons from a Shell Model for Magnetohydrodynamics
- Energy oscillations and a possible route to chaos in a modified Riga dynamo