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The apparantly irregular (unpredictable) space-time fluctuations in atmospheric flows ranging from climate (thousands of kilometers - years) to turbulence (millimeters - seconds) exhibit the universal symmetry of self-similarity.…

General Physics · Physics 2007-05-23 J. S. Pethkar , A. M. Selvam

One of the most striking manifestations of orderly behavior emerging out of complex interactions in any astrophysical system is the 11-year cycle of sunspots. However, direct sunspot observations and reconstructions of long-term solar…

Solar and Stellar Astrophysics · Physics 2025-04-24 Chitradeep Saha , Suprabha Mukhopadhyay , Dibyendu Nandy

We investigate the relation between the chaotic dynamics and the hierarchical phase-space structure of generic Hamiltonian systems. We demonstrate that even in ideal situations when the phase space is dominated by an exactly self-similar…

Chaotic Dynamics · Physics 2007-05-23 M. Weiss , L. Hufnagel , R. Ketzmerick

It is shown, using results of recent direct numerical simulations, that spectral properties of distributed chaos in MHD turbulence with zero mean magnetic field are similar to those of hydrodynamic turbulence. An exception is MHD…

Fluid Dynamics · Physics 2016-08-09 A. Bershadskii

The level of solar magnetic activity, as exemplified by the number of sunspots and by energetic events in the corona, varies on a wide range of time scales. Most prominent is the 11-year solar cycle, which is significantly modulated on…

Solar and Stellar Astrophysics · Physics 2017-07-26 Robert Cameron , Manfred Schüssler

It is shown, using results of recent direct numerical simulations, laboratory experiments and atmospheric measurements, that buoyancy driven turbulence exhibits a broad diversity of the types of distributed chaos with its stretched…

Fluid Dynamics · Physics 2016-08-24 A. Bershadskii

We applied the method of continuous wavelet-transform to high-quality time-frequency analysis to the sets of observations of relative sunspot numbers. Wavelet analysis of these data reveals the following pattern: at the same time there are…

Solar and Stellar Astrophysics · Physics 2015-12-15 A. A. Borisov , E. A. Bruevich , V. V. Bruevich , I. K. Rozgacheva , E. V. Shimanovskaya

The sunspots and other solar activity indicators tend to cluster on the surface of the Sun.These clusters very often occur at certain longitudes that persist in time.It is of general interest to find new and simple ways to characterize the…

Solar and Stellar Astrophysics · Physics 2015-05-14 J. Pelt , M. J. Korpi , I. Tuominen

This paper summarises a numerical investigation of how the usual manifestations of chaos and regularity for flows in time-independent Hamiltonians can be alterred by a systematic time-dependence of the form arising naturally in an expanding…

Astrophysics · Physics 2007-05-23 Henry E. Kandrup

We use time-series ultraviolet full sun images to construct limb-synoptic maps of the Sun. On these maps, large-scale, long-lived coronal streamers appear as repetitive sinusoid-like arcs projected over the polar regions. They are caused by…

Solar and Stellar Astrophysics · Physics 2015-05-28 Jing Li

Two subsystems of the Asian Monsoon: the Indian Summer Monsoon and the Western North Pacific Monsoon, have been analysed using their daily indices ISMI and WNPMI. It is shown that on the intraseasonal time scales the ISMI and WNPMI are…

Atmospheric and Oceanic Physics · Physics 2018-07-26 A. Bershadskii

Holographic functional methods are introduced as probes of discrete time-stepped maps that lead to chaotic behavior. The methods provide continuous time interpolation between the time steps, thereby revealing the maps to be…

Chaotic Dynamics · Physics 2010-10-13 Thomas L. Curtright , Cosmas K. Zachos

Quantification of chaos is a challenging issue in complex dynamical systems. In this paper, we discuss the chaotic properties of generalized Lotka-Volterra and May-Leonard models of biodiversity, via the Hamming distance density. We…

Statistical Mechanics · Physics 2024-05-17 D. Bazeia , M. Bongestab , B. F. de Oliveira

We have studied solar activity and space weather conditions during multiple planetary conjunction periods ( MPC) as observed from Earth during the years 1850-2000 AD. Significant decreases in sunspot activity and solar 10.7 cm radio flux…

General Physics · Physics 2020-09-14 N. G. Nisha , T. E. Girish

We argue that in a large class of disordered quantum many-body systems, the late time dynamics of time-dependent correlation functions is captured by random matrix theory, specifically the energy eigenvalue statistics of the corresponding…

High Energy Physics - Theory · Physics 2021-01-14 Jordan Cotler , Nicholas Hunter-Jones

The so-called solar cycle is generally characterized by the quasi-periodic oscillatory evolution of the photospheric spots number. This quasi-periodic pattern has always been an intriguing question. Several physical models were proposed to…

Solar and Stellar Astrophysics · Physics 2015-05-14 Alexis Klutsch , Rubens Freire Ferrero

As a result of resonance overlap, planetary systems can exhibit chaotic motion. Planetary chaos has been studied extensively in the Hamiltonian framework, however, the presence of chaotic motion in systems where dissipative effects are…

Earth and Planetary Astrophysics · Physics 2015-05-28 Konstantin Batygin , Alessandro Morbidelli

For spatiotemporal chaos described by partial differential equations, there are generally locations where the dynamical variable achieves its local extremum or where the time partial derivative of the variable vanishes instantaneously. To a…

Chaotic Dynamics · Physics 2013-03-07 Quntao Zhuang , Xun Gao , Qi Ouyang , Hongli Wang

We investigate the distribution of fluctuations in solar irradiance when integrated over the full disk, obtained using extreme ultraviolet/soft X-ray observations from the SOHO CELIAS/SEM instrument. This time series sums over both the…

Astrophysics · Physics 2009-11-07 J. Greenhough , S. C. Chapman , R. O. Dendy , V. M. Nakariakov , G. Rowlands

In this paper the longitudinal and latitudinal spatial distribution of macrospicules is examined. We found a statistical relationship between the active longitude determined by sunspot groups and the longitudinal distribution of…

Solar and Stellar Astrophysics · Physics 2015-12-29 N. Gyenge , S. Bennett , R. Erdélyi