Multiperiodicity, Chaos, and Intermittency in a Reduced Model of the Solar Cycle
Multiperiodicity, Chaos, and Intermittency in a Reduced Model of the Solar Cycle

Author: Paul Charbonneau

Publisher:

Published: 2001

Total Pages: 20

ISBN-13:

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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.

Self-Organized Criticality in Astrophysics
Self-Organized Criticality in Astrophysics

Author: Markus Aschwanden

Publisher: Springer Science & Business Media

Published: 2011-01-11

Total Pages: 416

ISBN-13: 3642150012

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Markus Aschwanden introduces the concept of self-organized criticality (SOC) and shows that due to its universality and ubiquity it is a law of nature for which he derives the theoretical framework and specific physical models in this book. He begins by providing an overview of the many diverse phenomena in nature which may be attributed to SOC behaviour. The author then introduces the classic lattice-based SOC models that may be explored using numerical computer simulations. These simulations require an in-depth knowledge of a wide range of mathematical techniques which the author introduces and describes in subsequent chapters. These include the statistics of random processes, time series analysis, time scale distributions, and waiting time distributions. Such mathematical techniques are needed to model and understand the power-law-like occurrence frequency distributions of SOC phenomena. Finally, the author discusses fractal geometry and scaling laws before looking at a range of physical SOC models which may be applicable in various aspects of astrophysics. Problems, solutions and a glossary will enhance the pedagogical usefulness of the book. SOC has been receiving growing attention in the astrophysical and solar physics community. This book will be welcomed by students and researchers studying complex critical phenomena.

The Solar Activity Cycle
The Solar Activity Cycle

Author: André Balogh

Publisher: Springer

Published: 2015-04-16

Total Pages: 594

ISBN-13: 1493925849

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A collection of papers edited by four experts in the field, this book sets out to describe the way solar activity is manifested in observations of the solar interior, the photosphere, the chromosphere, the corona and the heliosphere. The 11-year solar activity cycle, more generally known as the sunspot cycle, is a fundamental property of the Sun. This phenomenon is the generation and evolution of magnetic fields in the Sun’s convection zone, the photosphere. It is only by the careful enumeration and description of the phenomena and their variations that one can clarify their interdependences. The sunspot cycle has been tracked back about four centuries, and it has been recognized that to make this data set a really useful tool in understanding how the activity cycle works and how it can be predicted, a very careful and detailed effort is needed to generate sunspot numbers. This book deals with this topic, together with several others that present related phenomena that all indicate the physical processes that take place in the Sun and its exterior environment. The reviews in the book also present the latest theoretical and modelling studies that attempt to explain the activity cycle. It remains true, as has been shown in the unexpected characteristics of the first two solar cycles in the 21st century, that predictability remains a serious challenge. Nevertheless, the highly expert and detailed reviews in this book, using the very best solar observations from both ground- and space based telescopes, provide the best possible report on what is known and what is yet to be discovered. Originally published in Space Science Reviews, Vol 186, Issues 1-4, 2014.

The Solar Tachocline
The Solar Tachocline

Author: D. W. Hughes

Publisher: Cambridge University Press

Published: 2007-05-31

Total Pages: 369

ISBN-13: 113946258X

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Helioseismology has enabled us to probe the internal structure and dynamics of the Sun, including how its rotation varies in the solar interior. The unexpected discovery of an abrupt transition - the tachocline - between the differentially rotating convection zone and the uniformly rotating radiative interior has generated considerable interest and raised many fundamental issues. This volume contains invited reviews from distinguished speakers at the first meeting devoted to the tachocline, held at the Isaac Newton Institute. It provides a comprehensive account of the understanding of the properties and dynamics of the tachocline, including both observational results and major theoretical issues, involving both hydrodynamic and magnetohydrodynamic behaviour. The Solar Tachocline is a valuable reference for researchers and graduate students in astrophysics, heliospheric physics and geophysics, and the dynamics of fluids and plasmas.

Introduction to Nonlinear Science
Introduction to Nonlinear Science

Author: G. Nicolis

Publisher: Cambridge University Press

Published: 1995-06-22

Total Pages: 274

ISBN-13: 9780521467827

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The aim of this book is to develop a unified approach to nonlinear science, which does justice to its multiple facets and to the diversity and richness of the concepts and tools developed in this field over the years. Nonlinear science emerged in its present form following a series of closely related and decisive analytic, numerical and experimental developments that took place over the past three decades. It appeals to an extremely large variety of subject areas, but, at the same time, introduces into science a new way of thinking based on a subtle interplay between qualitative and quantitative techniques, topological and metric considerations and deterministic and statistical views. Special effort has been made throughout the book to illustrate both the development of the subject and the mathematical techniques, by reference to simple models. Each chapter concludes with a set of problems. This book will be of great value to graduate students in physics, applied mathematics, chemistry, engineering and biology taking courses in nonlinear science and its applications.

Cosmic Rays in the Earth’s Atmosphere and Underground
Cosmic Rays in the Earth’s Atmosphere and Underground

Author: Lev Dorman

Publisher: Springer Science & Business Media

Published: 2013-03-19

Total Pages: 891

ISBN-13: 1402021135

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The present monograph as well as the next one (Dorman, M2005) is a result of more than 50 years working in cosmic ray (CR) research. After graduation in December 1950 Moscow Lomonosov State University (Nuclear and Elementary Particle Physics Division, the Team of Theoretical Physics), my supervisor Professor D. I. Blokhintsev planned for me, as a winner of a Red Diploma, to continue my education as an aspirant (a graduate student) to prepare for Ph. D. in his very secret Object in the framework of what was in those time called the Atomic Problem. To my regret the KGB withheld permission, and I, together with other Jewish students who had graduated Nuclear Divisions of Moscow and Leningrad Universities and Institutes, were faced with a real prospect of being without any work. It was our good fortune that at that time there was being brought into being the new Cosmic Ray Project (what at that time was also very secret, but not as secret as the Atomic Problem), and after some time we were directed to work on this Project. It was organized and headed by Prof. S. N. Vernov (President of All-Union Section of Cosmic Rays) and Prof. N. V. Pushkov (Director of IZMIRAN); Prof. E. L. Feinberg headed the theoretical part of the Project.

Creative Journal Writing
Creative Journal Writing

Author: Stephanie Dowrick

Publisher: Penguin

Published: 2009-02-05

Total Pages: 273

ISBN-13: 1440659419

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Winner of the COVR Award for Book of the Year (2007) From the #1 creativity publisher in the country comes our latest creativity bestseller—Creative Journal Writing—the ultimate book for those who are looking to use this powerful tool to heal, expand, and transform their lives. In this exceptionally positive and encouraging book, Stephanie Dowrick frees the journal writer she believes is in virtually everyone, showing through stories and examples that a genuine sense of possibility can be revived on every page. Creative journal writing goes way beyond just recording events on paper. It can be the companion that supports but doesn?t judge, a place of unparalleled discovery, and a creative playground where the everyday rules no longer count. Proven benefits of journal writing include reduced stress and anxiety, increased self-awareness, sharpened mental skills, genuine psychological insight, creative inspiration and motivation, strengthened ability to cope during difficult times, and overall physical and emotional well-being. Combining a rich choice of ideas with wonderful stories, quotes, and her refreshingly intimate thoughts gained through a lifetime of writing, Dowrick?s insights and confidence make journal writing irresistible?and your own life more enchanting. Included in Creative Journal Writing are: u stories of how people have used journal writing to transform their lives; · inspirational instructions, guidelines, and quotes; · key principles, practical suggestions, and helpful hints; · 125 starter topics, designed to help even the most reluctant journal writer; · more than forty powerful exercises; · and much more!