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11 IMSC Session Program<br />

Prediction of the sunspot activity using the shadowing filter<br />

Thursday - Parallel Session 6<br />

M.C. Cuellar 2 , A. Svedin 1 and E. A. Spiegel 1<br />

1 Department of Astrophysics, Columbia University, New York, USA<br />

2 Centre for Time Series Analysis, London School of Economics, London, UK<br />

We study how the shadowing filter applies for a low dimensional dynamical model of<br />

the solar cycle by Platt, Spiegel, and Tresser (PST model), and available observations<br />

of the sunspots number to generate forecast of future solar activity. This model sees<br />

variations of the solar activity as a result of the coupling of the nonlinear oscillation<br />

and a chaotic oscillator. Each of these oscillations are interpreted as the motion in the<br />

convection zone and the tachocline dynamo.<br />

This case study constitutes a perfect example for assessing the predictability of the<br />

variations of the sunspot number, where the model available (e.g. the PST model) is<br />

an imperfect model of the complex dynamics of the sun, and at the same time is a<br />

tractable mathematical representation of the physics that features the same<br />

intermittency shown in the sunspot number observational data.<br />

The solar activity prediction problem is in many ways similar to the problem of<br />

verification and prediction of climate. In both cases, it is important to better constrain<br />

predictions to observations and to measure the quality and reliability of predictions,<br />

either to inform the physics of the model or decision making.<br />

Abstracts 266

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