Virtual Nordic Dynamo Seminar

Chaotic transients and hysteresis in an α^2 dynamo model

by Erico Rempel (Institute of Aeronautical Technology - ITA, Brazil)

Europe/Stockholm
Description

https://stockholmuniversity.zoom.us/j/940229961

The presence of chaotic transients in a nonlinear dynamo is investigated through numerical simulations of the 3D magnetohydrodynamic equations. By using the kinetic helicity of the flow as a control parameter, a hysteretic blowout bifurcation is conjectured to be responsible for the transition to dynamo, leading to a sudden increase in the magnetic energy of the attractor. This high-energy hydromagnetic attractor is suddenly destroyed in a boundary crisis when the helicity is decreased. Both the blowout bifurcation and the boundary crisis generate long chaotic transients that are due, respectively, to a chaotic saddle and a relative chaotic attractor.

https://arxiv.org/abs/2012.02064