Chaos Turbulence And Nonlinear Variability In Geophysics

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Non-Linear Variability in Geophysics

Author : D. Schertzer
Publisher : Springer Science & Business Media
ISBN 13 : 9400921470
Total Pages : 306 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Non-Linear Variability in Geophysics by : D. Schertzer

Download or read book Non-Linear Variability in Geophysics written by D. Schertzer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: consequences of broken symmetry -here parity-is studied. In this model, turbulence is dominated by a hierarchy of helical (corkscrew) structures. The authors stress the unique features of such pseudo-scalar cascades as well as the extreme nature of the resulting (intermittent) fluctuations. Intermittent turbulent cascades was also the theme of a paper by us in which we show that universality classes exist for continuous cascades (in which an infinite number of cascade steps occur over a finite range of scales). This result is the multiplicative analogue of the familiar central limit theorem for the addition of random variables. Finally, an interesting paper by Pasmanter investigates the scaling associated with anomolous diffusion in a chaotic tidal basin model involving a small number of degrees of freedom. Although the statistical literature is replete with techniques for dealing with those random processes characterized by both exponentially decaying (non-scaling) autocorrelations and exponentially decaying probability distributions, there is a real paucity of literature appropriate for geophysical fields exhibiting either scaling over wide ranges (e. g. algebraic autocorrelations) or extreme fluctuations (e. g. algebraic probabilities, divergence of high order statistical moments). In fact, about the only relevant technique that is regularly used -fourier analysis (energy spectra) -permits only an estimate of a single (power law) exponent. If the fields were mono-fractal (characterized by a single fractal dimension) this would be sufficient, however their generally multifractal character calls for the development of new techniques.

Wavelets in Geophysics

Author : Efi Foufoula-Georgiou
Publisher : Elsevier
ISBN 13 : 0080520871
Total Pages : 388 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Wavelets in Geophysics by : Efi Foufoula-Georgiou

Download or read book Wavelets in Geophysics written by Efi Foufoula-Georgiou and published by Elsevier. This book was released on 2014-06-28 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of wavelet analysis to the geophysical sciences grew from Jean Morlet's work on seismic signals in the 1980s. Used to detect signals against noise, wavelet analysis excels for transients or for spatiallylocalized phenomena. In this fourth volume in the renown WAVELET ANALYSIS AND ITS APPLICATIONS Series, Efi Foufoula-Georgiou and Praveen Kumar begin with a self-contained overview of the nature, power, and scope of wavelet transforms. The eleven originalpapers that follow in this edited treatise show how geophysical researchers are using wavelets to analyze such diverse phenomena as intermittent atmospheric turbulence, seafloor bathymetry, marine and other seismic data, and flow in aquifiers. Wavelets in Geophysics will make informative reading for geophysicists seeking an up-to-date account of how these tools are being used as well as for wavelet researchers searching for ideas for applications, or even new points of departure. Includes twelve original papers written by experts in the geophysical sciences Provides a self-contained overview of the nature, power, and scope of wavelet transforms Presents applications of wavelets to geophysical phenomena such as: The sharp events of seismic data, Long memory processes, such as fluctuation in the level of the Nile, A structure preserving decomposition of turbulence signals

Fractals’ Physical Origin and Properties

Author : Luciano Pietronero
Publisher : Springer
ISBN 13 : 1489934995
Total Pages : 356 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Fractals’ Physical Origin and Properties by : Luciano Pietronero

Download or read book Fractals’ Physical Origin and Properties written by Luciano Pietronero and published by Springer. This book was released on 2013-12-19 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the Special Seminar on: FRAGTALS held from October 9-15, 1988 at the Ettore Majorana Centre for Scientific Culture, Erice (Trapani), Italy. The concepts of self-similarity and scale invariance have arisen independently in several areas. One is the study of critical properites of phase transitions; another is fractal geometry, which involves the concept of (non-integer) fractal dimension. These two areas have now come together, and their methods have extended to various fields of physics. The purpose of this Seminar was to provide an overview of the recent developments in the field. Most of the contributions are theoretical, but some experimental work is also included. Du:cing the past few years two tendencies have emerged in this field: one is to realize that many phenomena can be naturally modelled by fractal structures. So one can use this concept to define simple modele and study their physical properties. The second point of view is more microscopic and tries to answer the question: why nature gives rise to fractal structures. This implies the formulation of fractal growth modele based on physical concepts and their theoretical understanding in the same sense as the Renormalization Group method has allowed to understand the critical properties of phase transitions.

Oceanic Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 1162 pages
Book Rating : 4.X/5 (2 download)

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Book Synopsis Oceanic Abstracts by :

Download or read book Oceanic Abstracts written by and published by . This book was released on 1993-06 with total page 1162 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Chaotic Climate Dynamics

Author : A. Selvam
Publisher : Luniver Press
ISBN 13 : 1905986076
Total Pages : 157 pages
Book Rating : 4.9/5 (59 download)

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Book Synopsis Chaotic Climate Dynamics by : A. Selvam

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.

Fractals’ Physical Origin and Properties

Author : Luciano Pietronero
Publisher : Springer Science & Business Media
ISBN 13 : 9780306434136
Total Pages : 386 pages
Book Rating : 4.4/5 (341 download)

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Book Synopsis Fractals’ Physical Origin and Properties by : Luciano Pietronero

Download or read book Fractals’ Physical Origin and Properties written by Luciano Pietronero and published by Springer Science & Business Media. This book was released on 1990-06-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the Special Seminar on: FRAGTALS held from October 9-15, 1988 at the Ettore Majorana Centre for Scientific Culture, Erice (Trapani), Italy. The concepts of self-similarity and scale invariance have arisen independently in several areas. One is the study of critical properites of phase transitions; another is fractal geometry, which involves the concept of (non-integer) fractal dimension. These two areas have now come together, and their methods have extended to various fields of physics. The purpose of this Seminar was to provide an overview of the recent developments in the field. Most of the contributions are theoretical, but some experimental work is also included. Du:cing the past few years two tendencies have emerged in this field: one is to realize that many phenomena can be naturally modelled by fractal structures. So one can use this concept to define simple modele and study their physical properties. The second point of view is more microscopic and tries to answer the question: why nature gives rise to fractal structures. This implies the formulation of fractal growth modele based on physical concepts and their theoretical understanding in the same sense as the Renormalization Group method has allowed to understand the critical properties of phase transitions.

Turbulence and Structures

Author : Herman Branover
Publisher : Academic Press
ISBN 13 : 9780121257408
Total Pages : 296 pages
Book Rating : 4.2/5 (574 download)

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Book Synopsis Turbulence and Structures by : Herman Branover

Download or read book Turbulence and Structures written by Herman Branover and published by Academic Press. This book was released on 1999 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turbulence is one of the most wide-spread phenomena in the universe. It relates to processes within the atmosphere, ocean, deep within the earth, as well as to the stars. The general public usually knows about turbulence from the unpleasant shaking of an airplane, or from disastrous atmospheric phenomena such as typhoons and hurricanes. The chaotic and unpredictable behavior of turbulent movement makes it very difficult to study. The degree of understanding of turbulence is still far from being complete. Some progress was made with the recent advent of a new science--chaos theory. The authors succeeded in examining one basic feature of turbulence called helicity (or spirality) which is the foundation of explaining and predicting the generation of large turbulent structures (e.g. typhoons). Helicity is a universal feature existing not only in fluid flows but also in solid bodies and even in living organisms. This book can be especially useful for researchers and students in fluid mechanics, plasma, geophysics, biology, and meteorology. * Examines the helical mechanism of self-organization in nature and laboratory * Presents a unified approach to chaos and theory * Discusses similarities and differences in the formation of dynamic and magnetic structures * Successfully combines profound theoretical and experimental knowledge * Includes a disk with an expanded bibliographical database

Advances in Nonlinear Geosciences

Author : Anastasios A. Tsonis
Publisher : Springer
ISBN 13 : 3319588958
Total Pages : 708 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Advances in Nonlinear Geosciences by : Anastasios A. Tsonis

Download or read book Advances in Nonlinear Geosciences written by Anastasios A. Tsonis and published by Springer. This book was released on 2017-10-13 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Nonlinear Geosciences is a set of contributions from the participants of “30 Years of Nonlinear Dynamics” held July 3-8, 2016 in Rhodes, Greece as part of the Aegean Conferences, as well as from several other experts in the field who could not attend the meeting. The volume brings together up-to-date research from the atmospheric sciences, hydrology, geology, and other areas of geosciences and presents the new advances made in the last 10 years. Topics include chaos synchronization, topological data analysis, new insights on fractals, multifractals and stochasticity, climate dynamics, extreme events, complexity, and causality, among other topics.

Space and Time Scale Variability and Interdependencies in Hydrological Processes

Author : R. A. Feddes
Publisher : Cambridge University Press
ISBN 13 : 0521495083
Total Pages : 198 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Space and Time Scale Variability and Interdependencies in Hydrological Processes by : R. A. Feddes

Download or read book Space and Time Scale Variability and Interdependencies in Hydrological Processes written by R. A. Feddes and published by Cambridge University Press. This book was released on 1995-08-24 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the integrated contributions of hydrologists, meteorologists and ecologists to the first IHP/IAHS George Kovacs Colloquium in connection with the study of global hydrology and climate change. The atmospherical, hydrological and terrestrial components of the Earth's systems operate on different time and space scales. Resolving these scaling incongruities, as well as understanding and modelling the complex interaction of land surface processes at the different scales, represent a major challenge for hydrologists, ecologists and meteorological scientists alike. This book deals with time and space scale variations with reference to several topics including: soil water balance; ecosystems and interaction of flow systems; and macroscale hydrological modelling. This book will be of great use to researchers, engineers and forecasters with an interest in space and time scale variability.

Annales Geophysicae

Author :
Publisher :
ISBN 13 :
Total Pages : 748 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Annales Geophysicae by :

Download or read book Annales Geophysicae written by and published by . This book was released on 1995 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Remote Sensing of Turbulence

Author : Victor Raizer
Publisher : CRC Press
ISBN 13 : 100045875X
Total Pages : 273 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Remote Sensing of Turbulence by : Victor Raizer

Download or read book Remote Sensing of Turbulence written by Victor Raizer and published by CRC Press. This book was released on 2021-10-03 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique multidisciplinary integration of the physics of turbulence and remote sensing technology. Remote Sensing of Turbulence provides a new vision on the research of turbulence and summarizes the current and future challenges of monitoring turbulence remotely. The book emphasizes sophisticated geophysical applications, detection, and recognition of complex turbulent flows in oceans and the atmosphere. Through several techniques based on microwave and optical/IR observations, the text explores the technological capabilities and tools for the detection of turbulence, their signatures, and variability. FEATURES Covers the fundamental aspects of turbulence problems with a broad geophysical scope for a wide audience of readers Provides a complete description of remote-sensing capabilities for observing turbulence in the earth’s environment Establishes the state-of-the-art remote-sensing techniques and methods of data analysis for turbulence detection Investigates and evaluates turbulence detection signatures, their properties, and variability Provides cutting-edge remote-sensing applications for space-based monitoring and forecasts of turbulence in oceans and the atmosphere This book is a great resource for applied physicists, the professional remote sensing community, ecologists, geophysicists, and earth scientists.

Fractals

Author : Behzad Ghanbarian
Publisher : CRC Press
ISBN 13 : 1351648306
Total Pages : 289 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Fractals by : Behzad Ghanbarian

Download or read book Fractals written by Behzad Ghanbarian and published by CRC Press. This book was released on 2017-11-23 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides theoretical concepts and applications of fractals and multifractals to a broad range of audiences from various scientific communities, such as petroleum, chemical, civil and environmental engineering, atmospheric research, and hydrology. In the first chapter, we introduce fractals and multifractals from physics and math viewpoints. We then discuss theory and practical applications in detail. In what follows, in chapter 2, fragmentation process is modeled using fractals. Fragmentation is the breaking of aggregates into smaller pieces or fragments, a typical phenomenon in nature. In chapter 3, the advantages and disadvantages of two- and three-phase fractal models are discussed in detail. These two kinds of approach have been widely applied in the literature to model different characteristics of natural phenomena. In chapter 4, two- and three-phase fractal techniques are used to develop capillary pressure curve models, which characterize pore-size distribution of porous media. Percolation theory provides a theoretical framework to model flow and transport in disordered networks and systems. Therefore, following chapter 4, in chapter 5 the fractal basis of percolation theory and its applications in surface and subsurface hydrology are discussed. In chapter 6, fracture networks are shown to be modeled using fractal approaches. Chapter 7 provides different applications of fractals and multifractals to petrophysics and relevant area in petroleum engineering. In chapter 8, we introduce the practical advantages of fractals and multifractals in geostatistics at large scales, which have broad applications in stochastic hydrology and hydrogeology. Multifractals have been also widely applied to model atmospheric characteristics, such as precipitation, temperature, and cloud shape. In chapter 9, these kinds of properties are addressed using multifractals. At watershed scales, river networks have been shown to follow fractal behavior. Therefore, the applications of fractals are addressed in chapter 10. Time series analysis has been under investigations for several decades in physics, hydrology, atmospheric research, civil engineering, and water resources. In chapter 11, we therefore, provide fractal, multifractal, multifractal detrended fluctuation analyses, which can be used to study temporal characterization of a phenomenon, such as flow discharge at a specific location of a river. Chapter 12 addresses signals and again time series using a novel fractal Fourier analysis. In chapter 13, we discuss constructal theory, which has a perspective opposite to fractal theories, and is based on optimizationof diffusive exchange. In the case of river drainages, for example, the constructal approach begins at the divide and generates headwater streams first, rather than starting from the fundamental drainage pattern.

Bibliography on Chaos

Author : Shu-yu Zhang
Publisher : World Scientific
ISBN 13 : 9789810205812
Total Pages : 536 pages
Book Rating : 4.2/5 (58 download)

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Book Synopsis Bibliography on Chaos by : Shu-yu Zhang

Download or read book Bibliography on Chaos written by Shu-yu Zhang and published by World Scientific. This book was released on 1991 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of more than 7000 full titles of books and papers related to chaotic behaviour in nonlinear dynamics. Emphasis has been made on recent publications, but many publications which appeared before 1980 are also included. Many titles have been checked with the authors. The scope of the Bibliography is not restricted to physics and mathematics of chaos only. Applications of chaotic dynamics to other branches of natural and social sciences are also considered. Works related to chaotic dynamics, e.g., papers on turbulence dynamical systems theory and fractal geometry, are listed at the discretion of the author or the compiler. This Bibliography is expected to be an important reference book for libraries and individual researchers.

The Weather and Climate

Author : Shaun Lovejoy
Publisher : Cambridge University Press
ISBN 13 : 1107018986
Total Pages : 509 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis The Weather and Climate by : Shaun Lovejoy

Download or read book The Weather and Climate written by Shaun Lovejoy and published by Cambridge University Press. This book was released on 2013-04-04 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new method of modeling the atmosphere, synthesizing data analysis techniques and multifractal statistics, for atmospheric researchers and graduate students.

Approximation Theory and Functional Analysis

Author : C. K. Chui
Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Approximation Theory and Functional Analysis by : C. K. Chui

Download or read book Approximation Theory and Functional Analysis written by C. K. Chui and published by . This book was released on 1991 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume surveys the fields of approximation theory and functional analysis. Compiled in honour of G.G.Lorenz, regarded as the father of modern approximation theory, it consists of invited papers representing up-to-date research by leading mathematicians in these fields.

Extreme Hydrological Events: New Concepts for Security

Author : O.F. Vasiliev
Publisher : Springer Science & Business Media
ISBN 13 : 1402057415
Total Pages : 497 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Extreme Hydrological Events: New Concepts for Security by : O.F. Vasiliev

Download or read book Extreme Hydrological Events: New Concepts for Security written by O.F. Vasiliev and published by Springer Science & Business Media. This book was released on 2007-06-17 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the development of advanced methods for the prediction, the estimation of occurrence probabilities and the risk related to extreme hydrological events. It also discusses the reduction of the vulnerability of social, economic, and engineering systems to extreme hydrologic events and the decrease of their effects on such systems.

Mortal City

Author : Peter Lang
Publisher : Princeton Architectural Press
ISBN 13 : 9781568981598
Total Pages : 154 pages
Book Rating : 4.9/5 (815 download)

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Book Synopsis Mortal City by : Peter Lang

Download or read book Mortal City written by Peter Lang and published by Princeton Architectural Press. This book was released on 1995 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: A heightened perception of urban violence increasingly dominates public discourse, but, as current events seem to demonstrate, these crises continue without immanent resolution. The very definitions of the city and of violence are constantly being reevaluated: the site of the city is shifting across real and imagined space; violence has been exposed outside the traditional areas of social conflict. Mortal City, published With StoreFront for Art and Architecture, is comprised of a series of essays investigating direct and indirect forms of violence and the city. Mortal City presents several different approaches to the subject. Articles by Donald Albrecht, Diane Ghirardo, Herbert Muschamp, Richard Plunz, and Lebbeus Woods, among others, are accompanied by photo essays by Warchitecture and Camilo Vergara and an interview with Mark Wigley. "We have gone from fearing the death of the city to fearing the city of death, and this traumatic change is reflected passionately in this book". -- A.D.