Planetary Influences on the Solar Cycle: A Nonlinear Dynamics Approach
arXiv:2309.15530 · doi:10.1063/5.0166920
Abstract
We explore the effect of some simple perturbations on three chaotic models proposed to describe large scale solar behavior via the solar dynamo theory: the Lorenz and the Rikitake systems, and a Van der Pol-Duffing oscillator. Planetary magnetic fields affecting the solar dynamo activity have been simulated by using harmonic perturbations. These perturbations introduce cycle intermittency and amplitude irregularities revealed by the frequency spectra of the nonlinear signals. Furthermore, we have found that the perturbative intensity acts as an order parameter in the correlations between the system and the external forcing. Our findings suggest a promising avenue to study the sunspot activity by using nonlinear dynamics methods.
References in corpus (8)
- Visualization of the challenges and limitations of the long-term sunspot number record
- A Solar Dynamo Model Driven by Mean-Field Alpha and Babcock-Leighton Sources: Fluctuations, Grand-Minima-Maxima and Hemispheric Asymmetry in Sunspot Cycles
- Shaken and stirred: When Bond meets Suess-de Vries and Gnevyshev-Ohl
- Angular Momentum and the Formation of Stars and Black Holes
- The planetary theory of solar activity variability: a review
- Oscillator models of the solar cycle: Towards the development of inversion methods
- The fratricide of alpha-Omega dynamos by their alpha-squared siblings
- A synchronized two-dimensional model of the solar dynamo