Determining role of Krein signature for 3D Arnold tongues of oscillatory dynamos

Oleg N. Kirillov, Uwe Guenther, Frank Stefani

Using a homotopic family of boundary eigenvalue problems for the mean-field ${\alpha }^2$-dynamo with helical turbulence parameter $\alpha (r)={\alpha }_0+\gamma \Delta \alpha (r)$ and homotopy parameter $\beta \in [0,1]$, we…