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We study the behaviour of the van der Pol oscillator when either its damping parameter $\mu$ or its nonlinearity parameter $\xi$ is subject to additive or multiplicative random noise. Assuming various power law exponents for the relation…

Solar and Stellar Astrophysics · Physics 2014-04-15 M. Nagy , K. Petrovay

The magnetic cycle on the Sun consists of two consecutive 11-yr sunspot cycles and exhibits a polarity reversal around sunspot maximum. Although solar dynamo theories have progressively become more sophisticated, the details as to how the…

Solar and Stellar Astrophysics · Physics 2025-01-29 S. Bellotti , P. Petit , S. V. Jeffers , S. C. Marsden , J. Morin , A. A. Vidotto , C. P. Folsom , V. See , J. -D. do Nascimento

Generation and diffusion of the magnetic field on the Sun is a key mechanism responsible for solar activity on all spatial and temporal scales - from the solar cycle down to the evolution of small-scale magnetic elements in the quiet Sun.…

Solar and Stellar Astrophysics · Physics 2011-12-14 V. I. Abramenko , V. B. Yurchyshyn , P. R. Goode

In this work, the dynamics of a self-propelled stochastic particle under the influence of an axisymmetric light field was experimentally studied. The particle under consideration has the main characteristic of carrying a light sensor in an…

Other Condensed Matter · Physics 2022-08-17 GA Patterson

We have measured the meridional motions of the magnetic elements in the Sun's surface layers since 1996 and find systematic and substantial variations. In general the meridional flow speed is fast at cycle minima and slow at cycle maxima.…

Solar and Stellar Astrophysics · Physics 2015-06-19 David H. Hathaway , Lisa Upton

One of the most striking aspects of the 11-year sunspot cycle is that there have been times in the past when some cycles went missing, a most well-known example of this being the Maunder minimum during 1645-1715. Analyses of cosmogenic…

Solar and Stellar Astrophysics · Physics 2014-04-09 Arnab Rai Choudhuri , Bidya Binay Karak

The hemispheric asymmetry of sunspot activity observed possesses a regular component varying on a time scale of several solar cycles whose origin and properties are currently debated. This paper addresses the question of whether the…

Solar and Stellar Astrophysics · Physics 2019-05-08 Alexander Nepomnyashchikh , Sudip Mandal , Dipankar Banerjee , Leonid Kitchatinov

We investigate the planar motion of a mass particle in a force field defined by patching Kepler's and Stark's dynamics. This model is called Sun-shadow dynamics, referring to the motion of an Earth satellite perturbed by the solar radiation…

Dynamical Systems · Mathematics 2020-11-24 Irene Cavallari , Giovanni Federico Gronchi , Giulio Bau'

Over the past century, the Sun's activity -- which exhibits significant variations -- went through a phase known as the Modern Maximum. Notably, the strongest sunspot cycle on record during this period, and indeed since direct sunspot…

Solar and Stellar Astrophysics · Physics 2025-08-20 Shaonwita Pal , Dibyendu Nandy

The solar cycle - most notably characterized by its sunspot activity patterns - serves as a cornerstone of heliospheric physics. This research uncovers a fundamental magnetic dichotomy in the Sun's full-disk field, identifying two…

Solar and Stellar Astrophysics · Physics 2026-03-02 Weiqi Chen , Kejun Li , Jingchen Xu

It has been suggested that the deficit in the number of spots on the surface of the Sun between 1790 and 1830, known as the Dalton minimum, contained an extra cycle that was not identified in the original sunspot record by Wolf. Though this…

Solar and Stellar Astrophysics · Physics 2015-06-23 C. Karoff , F. Inceoglu , M. F. Knudsen , J. Olsen , A. Fogtmann-Schulz

Solar magnetic activity is expressed via variations of sunspots and active regions varying on different timescales. The most accepted is an 11-year period supposedly induced by the electromagnetic solar dynamo mechanism. There are also some…

Solar and Stellar Astrophysics · Physics 2023-01-19 Valentina V. Zharkova , Irina Vasilieva , Simon Shepherd , Elena Popova

On timescales that greatly exceed an orbital period, typical planetary orbits evolve in a stochastic yet stable fashion. On even longer timescales, however, planetary orbits can spontaneously transition from bounded to unbound chaotic…

Earth and Planetary Astrophysics · Physics 2015-06-23 Konstantin Batygin , Alessandro Morbidelli , Mathew J. Holman

The relative number of sunspots represents the longest evidence describing the level of solar activity. As such, its use goes beyond solar physics, e.g. towards climate research. The construction of a single representative series is a…

Solar and Stellar Astrophysics · Physics 2022-12-07 Michal Švanda , Martina Pavelková , Jiří Dvořák , Božena Solarová

The present paper reviews results derived from statistical studies on solar activity indices. The prolonged minimum phase of cycle 23 raised the question of peculiarities inherent in cycle 23. The most important solar activity index is the…

Solar and Stellar Astrophysics · Physics 2010-02-03 M. Temmer

The sunspot number data during the past 400 years indicates that both the profile and the amplitude of the solar cycle have large variations. Some precursors of the solar cycle were identified aiming to predict the solar cycle. The polar…

Solar and Stellar Astrophysics · Physics 2015-06-15 Jie Jiang

The solar cycle and its associated magnetic activity are the main drivers behind changes in the interplanetary environment and the Earth's upper atmosphere (commonly referred to as space weather). These changes have a direct impact on the…

Solar and Stellar Astrophysics · Physics 2013-04-12 Andrés Muñoz-Jaramillo , María Dasi-Espuig , Laura A. Balmaceda , Edward E. DeLuca

Solar activity is studied using a cluster analysis of the time-fluctuations of sunspot number. In the historic period (1850-1932) the cluster exponent was approximately equal to 0.37 (strong clustering) for the high activity components of…

Solar and Stellar Astrophysics · Physics 2009-08-03 A. Bershadskii

The solar activity cycle is a manifestation of the hydromagnetic dynamo working inside our star. The detection of activity cycles in solar-like stars and the study of their properties allow us to put the solar dynamo in perspective,…

Solar and Stellar Astrophysics · Physics 2015-05-14 A. F. Lanza

Sunspots are obvious observable manifestations of the toroidal magnetic field generated through the dynamo in the convection zone. They appear in different sizes, having a wide distribution in their area. We analyse the sunspot group area…

Solar and Stellar Astrophysics · Physics 2026-02-10 Bidya Binay Karak , Soumya Mishra , Anu Sreedevi