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Nonlinear Time Series Analysis in the Geosciences pp 355–385Cite as

Phase Coherence Analysis of Decadal-Scale Sunspot Activity on Both Solar Hemispheres

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Part of the book series: Lecture Notes in Earth Sciences ((LNEARTH,volume 112))

Abstract

Coherent or synchronous motion of oscillatory components is a feature of many geoscientific systems. In this work, we review and compare different possible approaches to detect and quantify the phase coherence between time series of oscillatory systems. In particular, methods originated in the theory of phase synchronisation phenomena and the concept of recurrence plots are considered. As a particular example, the sunspot activity on both solar hemispheres and the corresponding phenomenon of north-south asymmetry are studied. It is shown that this asymmetry can be understood in terms of a different “phase diffusion” of two coupled chaotic oscillators, which do however evolve coherently in time. The statistical reliability and implications of this result are discussed. Apart from the particular problem of sunspot activity, the methods described in this chapter may be used to study a variety of other phenomena in geoscientific systems, for example, the coherent motion of certain atmospheric oscillation patterns.

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Authors and Affiliations

  1. Institute for Transport and Economics, Dresden University of Technology, Andreas-Schubert-Str. 23, 01062 Dresden, Germany

    Reik Donner

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  1. Reik Donner
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  1. TU Dresden Institut für Wirtschaft und Verkehr, Andreas-Schubert-Str. 23, 01062 Dresden, Germany

    Reik V. Donner (Dr) (Dr)

  2. Depto. Matematica Aplicada, Universidade do Porto Fac. Ciencias, Rua do Campo Alegre 687, 4169-007 Porto, Portugal

    Susana M. Barbosa (Dr) (Dr)

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Donner, R. (2008). Phase Coherence Analysis of Decadal-Scale Sunspot Activity on Both Solar Hemispheres. In: Donner, R.V., Barbosa, S.M. (eds) Nonlinear Time Series Analysis in the Geosciences. Lecture Notes in Earth Sciences, vol 112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78938-3_16

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