Planetary influences on the solar cycle: A nonlinear dynamics approach

Area of Science:

• Solar physics
• Nonlinear dynamics
• Dynamo theory

Background:

• The solar dynamo theory explains large-scale solar behavior.
• Understanding solar activity, like sunspots, is crucial for space weather prediction.
• Nonlinear dynamics offers potential tools for analyzing complex solar phenomena.

Purpose of the Study:

• To investigate the impact of external perturbations on nonlinear solar dynamo models.
• To simulate the influence of planetary magnetic fields on solar activity.
• To explore the relationship between perturbation intensity and solar signal characteristics.

Main Methods:

• Applied harmonic perturbations to the Lorenz system, Rikitake system, and a Van der Pol-Duffing oscillator.
• Analyzed frequency spectra of nonlinear signals to detect cycle intermittency and amplitude irregularities.
• Investigated the role of perturbative intensity as an order parameter in system-forcing correlations.

Main Results:

• Perturbations induced cycle intermittency and amplitude irregularities in the models.
• Frequency spectra revealed changes in the nonlinear signals due to external forcing.
• Perturbative intensity was found to correlate with the system's response, acting as an order parameter.

Conclusions:

• Nonlinear dynamics methods provide a promising framework for studying sunspot activity.
• Simulated planetary magnetic field effects offer insights into solar dynamo variations.
• The findings highlight the sensitivity of solar models to external influences.