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Astron. Astrophys. 360, 319-330 (2000)

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Nonlinear analysis of solar cycles

T. Serre 1 and E. Nesme-Ribes 2

1 14, rue Jean Giono, 13 580 La Fare-les-Oliviers, France
2 Observatoire de Paris, 5 Place Jules Janssen, 92 195 Meudon, France

Received 27 October 1998 / Accepted 11 May 2000


In this paper, the recent improvement of the Wolf sunspot time-series by Hoyt and co-workers has been analysed with the Global Flow Reconstruction (GFR) method (Serre et al. 1996a and b). A nonlinear 4-dimensional chaotic model has been extracted from the data which captures the principal characteristic features of the sunspot group time-series. The hypothesis of interactions between magnetic modes is implicitly tested; presumably, this is the cause of the irregular variations of solar cycle amplitudes recorded since the year 1610. The present results indicate that interactions are occurring between few global magnetic modes.

Key words: chaos – methods: data analysis – Sun: sunspots

Send offprint requests to: T. Serre (Thierry.Serre@Wanadoo.fr)

© European Southern Observatory (ESO) 2000

Online publication: July 27, 2000