A model for tidal synchronization and modulation of the solar dynamo

We present a solar dynamo model of Tayler-Spruit type with an Omega-effect that is conventionally produced by solar-like differential rotation, while its alpha-effect is periodically modulated by planetary tidal forcing. The underlying resonance builds upon the tendency of the Tayler instability to generate helicity oscillations which can be synchronized by periodic tidal forces. We focus on the 11.07 years alignment periodicity of the planets Venus, Earth, and Jupiter and analyze its synchronization with the solar dynamo. The typically emerging dynamo modes are dipolar or quadrupolar fields, oscillating with a 22.14 years period or pulsating with a 11.07 years period. When starting from a conventional alpha-Omega-dynamo, the addition of the periodic alpha-part can lead to entrainment of the entire dynamo via parametric resonance. Phase coherent transitions between dipoles and quadrupoles are discussed, too.