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Reconstruction of the coupling between solar proxies : when approaches based on Kuramoto and Van der Pol models agree with each other
Anton Savostianov, Alexander Shapoval, M. Shnirman, 2020, izvirni znanstveni članek

Opis: The objective of this paper is to establish that algorithms, which reconstruct the coupling between solar proxies based on the properties of the Kuramoto equations, and algorithms, based on the van der Pol equations, might produce similar estimates. To this end, the inverse problem is formulated as follows: reconstruct the coupling based on the solutions of the corresponding equations. For either system of the equations we construct an algorithm solving the inverse problem and establish that there exists a range of moderate values of the correlation such that the algorithms produce practically identical coupling within the established range. The lower boundary of this range is dependent on the half-difference of the oscillators’ frequencies. Then, we apply the two reconstruction algorithms to solar index ISSN and the geomagnetic index aa, which are proxies to the toroidal and poloidal magnetic fields of the Sun respectively. Their correlation belongs within the range that yields the proximity of the coupling reconstructed with all solar cycles from 11 till 23 except 20 and, possibly, 21. Our finding relate the reconstruction of characteristics of solar activity inferred by Blanter et al [Sol. Phys. 2014, 289, 4309; Sol. Phys. 2016, 291, 1003] from the Kuramoto model to the state of the art solar dynamo theory based on the magnetohydrodynamic equations.
Ključne besede: coupled oscillators, synchronization, solar activity
Objavljeno v RUNG: 22.03.2021; Ogledov: 1922; Prenosov: 0
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3.
Dynamics of phase synchronization between solar polar magnetic fields assessed with Van der Pol and Kuramoto models
Anton Savostianov, Alexander Shapoval, M. Shnirman, 2020, izvirni znanstveni članek

Opis: We establish the similarity in two model-based reconstructions of the coupling between the polar magnetic fields of the Sun represented by the solar faculae time series. The reconstructions are inferred from the pair of the coupled oscillators modelled with the Van der Pol and Kuramoto equations. They are associated with the substantial simplification of solar dynamo models and, respectively, a simple ad hoc model reproducing the phenomenon of synchronization. While the polar fields are synchronized, both of the reconstruction procedures restore couplings, which attain moderate values and follow each other rather accurately as the functions of time. We also estimate the evolution of the phase difference between the polar fields and claim that they tend to move apart more quickly than approach each other.
Ključne besede: solar hemispheres, solar faculae, synchronisation, coupled oscillators
Objavljeno v RUNG: 16.03.2021; Ogledov: 1807; Prenosov: 68
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