Non Linear Dynamics In Geophysics

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Non Linear Dynamics And Statistical Theories For Basic Geophysical Flows

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Author : Andrew Majda
language : en
Publisher:
Release Date : 2006

Non Linear Dynamics And Statistical Theories For Basic Geophysical Flows written by Andrew Majda and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Fluid dynamics categories.

Geophysical fluid dynamics illustrates the rich interplay between mathematical analysis, nonlinear dynamics, statistical theories, qualitative models and numerical simulations. This self-contained introduction will suit a multi-disciplinary audience ranging from beginning graduate students to senior researchers. It is the first book following this approach and contains many recent ideas and results.

Non Linear Dynamics In Geophysics

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Author : Jacques Dubois
language : en
Publisher:
Release Date : 1998-07-14

Non Linear Dynamics In Geophysics written by Jacques Dubois and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-14 with Mathematics categories.

Non-Linear Dynamics in Geophysics Jacques Dubois Although initiated in the 1960s by the studies of Richardson and Mandelbrot, the study of natural phenomena using the mathematical tools employed for the understanding of ‘chaos’ is comparatively recent. Indeed the field of applications for such techniques is very large because many natural phenomena exhibit chaotic dynamics. In Non-Linear Dynamics in Geophysics, Jacques Dubois presents a new approach to the study of complex, time-dependent natural systems, which are of considerable importance for understanding the solid Earth. He discusses the results of more than ten years’ of studies into the applications of non-linear dynamics theory to a wide range of geophysical systems in areas such as geomorphology, vulcanology, seismology, geomagnetism and natural hazard assessment. The book is divided into four parts, and represents the state-of-the-art in this discipline. The first part is devoted to general theoretical notions and tools: measures, dimensions, fractal sets, dynamic systems, limit cycles and attractors, multi-fractals and wavelet transforms. It is here that the notion of chaos is introduced, and where paths to chaos and chaos control are discussed. Part two describes the applications of these powerful techniques to geophysics: geomorphology, fragmentation, tectonics, seismicity, volcanic eruptions, seismic forecasting algorithms, and geomagnetism. The third part aims at a synthesis and a list of the perspectives offered by this approach. The book concludes with a few traditional illustrations of non-linear dynamics and several theoretical appendices. Readership: Final year undergraduate and postgraduate students of geology, geophysics and the Earth sciences, and scientists studying in these and related areas such as tectonics, seismology and geomagnetism. Industrial experts working on natural hazard and risk assessment, namely fracturing of rocks, earthquakes and volcanic eruptions and self-organised criticality applied to natural catastrophes. Mathematicians and mathematical physicists interested in applications of non-linear dynamics theory.

Nonlinear Dynamics In Geosciences

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Author : Anastasios A. Tsonis
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-09-25

Nonlinear Dynamics In Geosciences written by Anastasios A. Tsonis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-25 with Language Arts & Disciplines categories.

This work comprises the proceedings of a conference held last year in Rhodes, Greece, to assess developments during the last 20 years in the field of nonlinear dynamics in geosciences. The volume has its own authority as part of the Aegean Conferences cycle, but it also brings together the most up-to-date research from the atmospheric sciences, hydrology, geology, and other areas of geosciences, and discusses the advances made and the future directions of nonlinear dynamics.

Nonlinear Dynamics And Predictability Of Geophysical Phenomena

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Author : William I. Newman
language : en
Publisher: American Geophysical Union
Release Date : 1994-01-10

Nonlinear Dynamics And Predictability Of Geophysical Phenomena written by William I. Newman and has been published by American Geophysical Union this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-10 with Mathematics categories.

Published by the American Geophysical Union as part of the Geophysical Monograph Series, Volume 83. The goal of this volume is to establish an understanding and interdisciplinary cooperation among geophysicists and nonlinear dynamicists. While the last thirty years has brought substantial progress in the study of the atmosphere and ocean as well as of convection in the Earth's mantle and core, the nonlinear revolution is only beginning to have an impact on the investigation of the solid Earth. The problem of predictability in chaotic nonlinear systems is one of the most important and difficult subjects in modern nonlinear science. In its application to geophysics and, especially, earthquake prediction, it presents both a profound intellectual problem and an issue with important societal implications.

Nonlinear Processes In Geophysics

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Author :
language : en
Publisher:
Release Date : 2009

Nonlinear Processes In Geophysics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Geophysics categories.

Nonlinear Dynamics And Statistical Theories For Basic Geophysical Flows

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Author : Andrew Majda
language : en
Publisher:
Release Date : 2006-05-11

Nonlinear Dynamics And Statistical Theories For Basic Geophysical Flows written by Andrew Majda and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-11 with Mathematics categories.

How nonlinear dynamics and statistical mechanics can be applied to geophysical fluid dynamics.

Nonlinear Dynamics Chaos And Fractals With Applications To Geological Systems

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Author : Geological Association of Canada
language : en
Publisher: St. John's, Nfld. : Geological Association of Canada
Release Date : 1991

Nonlinear Dynamics Chaos And Fractals With Applications To Geological Systems written by Geological Association of Canada and has been published by St. John's, Nfld. : Geological Association of Canada this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Chaotic behavior in systems categories.

Nonlinear Dynamics Of Rotating Shallow Water Methods And Advances

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Author :
language : en
Publisher: Elsevier
Release Date : 2007-04-03

Nonlinear Dynamics Of Rotating Shallow Water Methods And Advances written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-03 with Science categories.

The rotating shallow water (RSW) model is of wide use as a conceptual tool in geophysical fluid dynamics (GFD), because, in spite of its simplicity, it contains all essential ingredients of atmosphere and ocean dynamics at the synoptic scale, especially in its two- (or multi-) layer version. The book describes recent advances in understanding (in the framework of RSW and related models) of some fundamental GFD problems, such as existence of the slow manifold, dynamical splitting of fast (inertia-gravity waves) and slow (vortices, Rossby waves) motions, nonlinear geostrophic adjustment and wave emission, the role of essentially nonlinear wave phenomena. The specificity of the book is that analytical, numerical, and experimental approaches are presented together and complement each other. Special attention is paid on explaining the methodology, e.g. multiple time-scale asymptotic expansions, averaging and removal of resonances, in what concerns theory, high-resolution finite-volume schemes, in what concerns numerical simulations, and turntable experiments with stratified fluids, in what concerns laboratory simulations. A general introduction into GFD is given at the beginning to introduce the problematics for non-specialists. At the same time, recent new results on nonlinear geostrophic adjustment, nonlinear waves, and equatorial dynamics, including some exact results on the existence of the slow manifold, wave breaking, and nonlinear wave solutions are presented for the first time in a systematic manner.· Incorporates analytical, numerical and experimental approaches in the geophysical fluid dynamics context· Combination of essentials in GFD, of the description of analytical, numerical and experimental methods (tutorial part), and new results obtained by these methods (original part)· Provides the link between GFD and mechanics (averaging method, the method of normal forms); GFD and nonlinear physics (shocks, solitons, modons, anomalous transport, periodic nonlinear waves)

Boundary Layers Waves And Non Linear Dynamical Processes

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Author : Gurbax S. Lakhina
language : en
Publisher:
Release Date : 2006

Boundary Layers Waves And Non Linear Dynamical Processes written by Gurbax S. Lakhina and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Boundary layer categories.

Treatise On Geophysics Earthquake Seismology

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Author : Gerald Schubert
language : en
Publisher:
Release Date : 2007

Treatise On Geophysics Earthquake Seismology written by Gerald Schubert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Science categories.

The Treatise on geophysics is the only comprehensive, state-of-the-art, and integrated summary of the present state of geophysics. Offering an array of articles from some of the top scientists around the world, this 11-volume work deals with all major parts of solid-Earth geophysics, including a volume on the terrestrial planets and moons in our Solar System. This major reference work will aid researchers, advanced undergrad and graduate students, as well as professionals in cutting-edge research.