Download or read book Chaotic Dynamics of the Solar Cycle written by Edward A. Spiegel and published by . This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Chaotic Dynamics of the Solar Cycle written by Edward A. Spiegel and published by . This book was released on 1992 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Chaotic Solar Cycle written by Arnold Hanslmeier and published by Springer Nature. This book was released on 2020-11-30 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an overview of solar physics with a focus on solar activity, particularly the activity cycle. It is known that solar activity varies periodically, but there are also phases of intermittency, such as the Maunder minimum, during which solar activity is very low or high over several decades. The book provides a brief introduction to chaos theory and investigates solar activity in terms of its chaotic behavior. It also discusses how intermittent phases of solar activity have affected and can affect Earth’s climate and long-term space weather, and reviews the underlying theories relating to the solar dynamo mechanism. Furthermore, each chapter includes references to scientific literature (review articles and papers) so that readers can delve deeper into the subjects covered. This richly illustrated book will appeal to a wide readership, and is also useful as a textbook for courses in solar physics and astrophysics.
Download or read book Predictability of Chaotic Dynamics written by Juan C. Vallejo and published by Springer Nature. This book was released on 2019-10-25 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is primarily concerned with the computational aspects of predictability of dynamical systems - in particular those where observations, modeling and computation are strongly interdependent. Unlike with physical systems under control in laboratories, in astronomy it is uncommon to have the possibility of altering the key parameters of the studied objects. Therefore, the numerical simulations offer an essential tool for analysing these systems, and their reliability is of ever-increasing interest and importance. In this interdisciplinary scenario, the underlying physics provide the simulated models, nonlinear dynamics provides their chaoticity and instability properties, and the computer sciences provide the actual numerical implementation. This book introduces and explores precisely this link between the models and their predictability characterization based on concepts derived from the field of nonlinear dynamics, with a focus on the strong sensitivity to initial conditions and the use of Lyapunov exponents to characterize this sensitivity. This method is illustrated using several well-known continuous dynamical systems, such as the Contopoulos, Hénon-Heiles and Rössler systems. This second edition revises and significantly enlarges the material of the first edition by providing new entry points for discussing new predictability issues on a variety of areas such as machine decision-making, partial differential equations or the analysis of attractors and basins. Finally, the parts of the book devoted to the application of these ideas to astronomy have been greatly enlarged, by first presenting some basics aspects of predictability in astronomy and then by expanding these ideas to a detailed analysis of a galactic potential.
Download or read book Chaotic Climate Dynamics written by A. Selvam and published by Luniver Press. This book was released on 2007-08 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Atmosphere is a chaotic system. As such it is inherently unpredictable. The book applies chaos theory to understand and predict climate systems. Author presents a cell dynamical system model for turbulent fluid flows. The model envisages the irregular space-time fluctuations of the atmospheric flow pattern generated as a consequence of the superimposition of a continuum of eddies. The natural space-time variability is quantified in terms of the universal inverse power-law form of the statistical normal distribution. A range of possible applications of the cell dynamical system model for weather and climate system is discussed. The book provides a comprehensive reference material for scientists and academicians working in the field of atmospheric sciences and related topics.
Download or read book The Origin and Dynamics of Solar Magnetism written by M.J. Thompson and published by Springer Science & Business Media. This book was released on 2009-05-01 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting in 1995 numerical modeling of the Earth’s dynamo has ourished with remarkable success. Direct numerical simulation of convection-driven MHD- ow in a rotating spherical shell show magnetic elds that resemble the geomagnetic eld in many respects: they are dominated by the axial dipole of approximately the right strength, they show spatial power spectra similar to that of Earth, and the magnetic eld morphology and the temporal var- tion of the eld resembles that of the geomagnetic eld (Christensen and Wicht 2007). Some models show stochastic dipole reversals whose details agree with what has been inferred from paleomagnetic data (Glatzmaier and Roberts 1995; Kutzner and Christensen 2002; Wicht 2005). While these models represent direct numerical simulations of the fundamental MHD equations without parameterized induction effects, they do not match actual pla- tary conditions in a number of respects. Speci cally, they rotate too slowly, are much less turbulent, and use a viscosity and thermal diffusivity that is far too large in comparison to magnetic diffusivity. Because of these discrepancies, the success of geodynamo models may seem surprising. In order to better understand the extent to which the models are applicable to planetary dynamos, scaling laws that relate basic properties of the dynamo to the fundamental control parameters play an important role. In recent years rst attempts have been made to derive such scaling laws from a set of numerical simulations that span the accessible parameter space (Christensen and Tilgner 2004; Christensen and Aubert 2006).
Download or read book Topology and Dynamics of Chaos written by Christophe Letellier and published by World Scientific. This book was released on 2013 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory. Some modern applications are included. The contents are mainly devoted to topology, the main field of Robert Gilmore's works in dynamical systems. They include a review on the topological analysis of chaotic dynamics, works done in the past as well as the very latest issues. Most of the contributors who published during the 90's, including the very well-known scientists Otto RAssler, Ren(r) Lozi and Joan Birman, have made a significant impact on chaos theory, discrete chaos, and knot theory, respectively. Very few books cover the topological approach for investigating nonlinear dynamical systems. The present book will provide not only some historical OCo not necessarily widely known OCo contributions (about the different types of chaos introduced by RAssler and not just the RAssler attractor; Gumowski and Mira's contributions in electronics; Poincar(r)'s heritage in nonlinear dynamics) but also some recent applications in laser dynamics, biology,
Download or read book Study of the Solar Cycle from Space written by and published by . This book was released on 1980 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multiperiodicity Chaos and Intermittency in a Reduced Model of the Solar Cycle written by Paul Charbonneau and published by . This book was released on 2001 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a recent paper, Durney (2000) has discussed a physically plausible procedure whereby the dynamo equations describing magnetic field regeneration in Babcock-Leighton models of the solar cycle can be reduced to a one-dimensional iterative map. This procedure is used here to investigate the behavior of various dynamo-inspired maps. Durney's explanation of the so-called odd-even effect in sunspot cycle peak amplitudes, which he ascribed to a period-2 limit cycle, is found to be robust with respect the choice of nonlinearity defining the map, and to the action of strong stochastic forcing. In fact, even maps without limit cycles are found to show a strong odd-even signal in the presence of forcing. Some of the stochastically forced maps are found to exhibit a form of on-off intermittency, with periods of activity separated by quiescent phases of low cycle amplitudes. In one such map, a strong odd-even signal is found to be a good precursor to the transition from bursting to quiescent behavior.
Download or read book Solar and Stellar Activity Cycles written by Peter R. Wilson and published by Cambridge University Press. This book was released on 1994-05-26 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do you predict the parameters of future solar cycles? What is the role of dynamo theory in the cyclic activity of the Sun and similar stars? And what are the implications of chaos theory for stellar cycles? This book answers these questions and offers a timely review of studies in the cyclic activity of the Sun and other stars. This authoritative reference shows the importance of reliable predictions of the parameters of future solar cycles, and carefully explains the methods currently used to determine these (with special reference to the maximum of cycle 22). Some of the latest research into solar cycles is clearly presented; this includes helioseismology, observations of the extended activity cycle and the polar fields reversal, and contributions from dynamo theory and chaos theory. For graduate students and researchers, this monograph provides a much-needed synthesis of our understanding of activity cycles in the Sun and other stars.
Download or read book Past and Present Variability of the Solar terrestrial System written by Giuliana Cini Castagnoli and published by IOS Press. This book was released on 1997 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The global climate of the Earth has significantly varied over the last millennia. On a regional scale, the climate has varied and does presently vary on many different time scales, leading to a continuously changing pattern of temperatures, humidity, precipitation, with important effects on the whole terrestrial biosphere. Physicist are interested in understanding the mechanism at work by gathering data and properly analysing them, by building theoretical models and, if possible, making predictions on the future evolution of the system. Along these lines, an important question is to understand the role of the solar forcing, in order to unravel the internal mechanisms of variability of the Earth's climate from the variable forcing of the Sun. On the other hand, one can learn about the past solar variability by reading into the terrestrial archives that provide us with proxy data on the history of both the Sun and the climate. Thus, realizing that the Sun and the Earth form a closely coupled system, where the variable properties of the former may affect in many subtle ways the behaviour of the latter, is an important step toward the understanding of both.This book is explicitly devoted to these issues. First, it is important to obtain reliable data from terrestrial archives, and to properly date the records that have been measured. The first part of the book is devoted to these crucial aspects, dealing with various types of proxy data and with the difficult issue of the dating of the records. Once obtained, the data has to be interpreted. This process nowadays relies upon a plethora of data analysis methods that explicitly take into account the nonlinear nature of the system and try to elucidate the dynamics and the main processes active in the measured system. The second part of the book is devoted to the issue of data analysis and prediction. Finally, once the data has been interpreted and analyzed, theoretical models have to be built describing the dynamics of the system considered. Due to the extreme complexity of the Sun/Earth system (as well as of its components, the Sun itself and the Earth's climate), drastic simplifications in the modelling efforts have to be accepted and one has to bear in mind that the models probably are nothing more than a pale image of the real dynamics. The third part of the book is devoted to the theoretical and numerical modelling of the solar and climatic variability, and of their complex interactions. This volume gives an up-to-date view of the present state of this field.
Download or read book Solar and Stellar Activity Cycles written by Peter R. Wilson and published by Cambridge University Press. This book was released on 1994 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: A timely and authoritative synthesis of our understanding of activity cycles in the Sun and similar stars for graduate students and researchers.
Download or read book Chaos and Nonlinear Dynamics written by Robert C. Hilborn and published by . This book was released on 2000 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces readers to the full range of current and background activity in the rapidly growing field of nonlinear dynamics. It uses a step-by-step introduction to dynamics and geometry in state space to help in understanding nonlinear dynamics and includes a thorough treatment of both differential equation models and iterated map models as well as a derivation of the famous Feigenbaum numbers. It is the only introductory book available that includes the important field of pattern formation and a survey of the controversial questions of quantum chaos. This second edition has been restructured for easier use and the extensive annotated references are updated through January 2000 and include many web sites for a number of the major nonlinear dynamics research centers. With over 200 figures and diagrams, analytic and computer exercises this book is a necessity for both the classroom and the lab.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Observational Manifestation of Chaos in Astrophysical Objects written by Alexei Fridman and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: On August 2000 in the Lomonosov Moscow State University the first scientific conference dedicated to chaos in the real astronomical systems was held. The most prominent astrophysisists - specialist in the field of stochastic dynamics - attended the conference. A broad scope of the problems related to the observed manifes tations of chaotic motions in galactic and stellar objects, with the involvement of basic theory and numerical modeling, were addressed. The idea (not so obvious, as we believe, to many astrophysicists) was to show that, while great progress in the field of stochastic mechanics was accomplished, the science of chaos in actually observed systems is only just being born. Basically, the situation described prompted the organizers to hold the meeting in order to discuss chaotic processes in real systems. It seemed worthwhile to begin these introductory remarks with a brief descrip tion of some events that preceeded the conference. Since actually existing systems are the subject of the natural sciences, and in the latter experiments play the key role, we shall begin our account with the experimental results.
Download or read book Chaos In Nature Second Edition written by Letellier Christophe and published by World Scientific. This book was released on 2019-04-26 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the history of chaos theory, from celestial mechanics (three-body problem) to electronics and meteorology. Many illustrative examples of chaotic behaviors exist in various contexts found in nature (chemistry, astrophysics, biomedicine). This book includes the most popular systems from chaos theory (Lorenz, Rössler, van der Pol, Duffing, logistic map, Lozi map, Hénon map etc.) and introduces many other systems, some of them very rarely discussed in textbooks as well as in scientific papers. The contents are formulated with an original approach as compared to other books on chaos theory.
Download or read book Dynamical Chaos written by Michael V. Berry and published by Princeton University Press. This book was released on 2014-07-14 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: The leading scientists who gave these papers under the sponsorship of the Royal Society in early 1987 provide reviews of facets of the subject of chaos ranging from the practical aspects of mirror machines for fusion power to the pure mathematics of geodesics on surfaces of negative curvature. The papers deal with systems in which chaotic conditions arise from initial value problems with unique solutions, as opposed to those where chaos is produced by the introduction of noise from an external source. Table of Contents Diagnosis of Dynamical Systems with Fluctuating Parameters D. Ruelle Nonlinear Dynamics, Chaos, and Complex Cardiac Arrhythmias L. Glass, A. L. Goldberger, M. Courtemanche, and A. Shrier Chaos and the Dynamics of Biological Populations R. M. May Fractal Bifurcation Sets, Renormalization Strange Sets, and Their Universal Invariants D. A. Rand From Chaos to Turbulence in Bnard Convection A. Libchaber Dynamics of Convection N. O. Weiss Chaos: A Mixed Metaphor for Turbulence E. A. Spiegel Arithmetical Theory of Anosov Diffeomorphisms F. Vivaldi Chaotic Behavior in the Solar System J. Wisdom Chaos in Hamiltonian Systems I. C. Percival Semi-Classical Quantization, Adiabatic Invariants, and Classical Chaos W. P. Reinhardt and I. Dana Particle Confinement and Adiabatic Invariance B. V. Chirikov Some Geometrical Models of Chaotic Dynamics C. Series The Bakerian Lecture: Quantum Chaology M. V. Berry Originally published in 1989. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
