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Nonlinear Dynamics In Geosciences
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Book Synopsis Nonlinear Dynamics in Geosciences by : Anastasios A. Tsonis
Download or read book Nonlinear Dynamics in Geosciences written by Anastasios A. Tsonis and published by Springer Science & Business Media. This book was released on 2007-09-25 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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 707 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.
Book Synopsis Irreversible Phenomena and Dynamical Systems Analysis in Geosciences by : Grégoire Nicolis
Download or read book Irreversible Phenomena and Dynamical Systems Analysis in Geosciences written by Grégoire Nicolis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Study Institute, Crete, Greece, July 14-24, 1985
Book Synopsis Fractals and Dynamic Systems in Geoscience by : Diego Perugini
Download or read book Fractals and Dynamic Systems in Geoscience written by Diego Perugini and published by Birkhäuser. This book was released on 2015-07-21 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaotic dynamic systems and non-linear processes, together with the resulting fractals and multifractals, are fundamental for analyzing data and understanding processes in the Earth and Environmental Sciences. Many processes and phenomena, poorly recognized only a few years ago, now can be studied and understood with the help of conceptual models from the fields of fractals and dynamics systems. This represents a bold step towards understanding how planet Earth works. The twenty-one papers presented in this volume reflect the state of fundamental and applied research on fractals and dynamic systems in Geoscience, from magma dynamics to geomorphology, from seismology to space science. The volume is of interest to scientists using fractals, multifractals, non-linear dynamics and chaos theory for analyzing complex datasets, as those arising from geological and geophysical processes. Postgraduate students and students in various fields of geoscience as well as physics and applied mathematics will also find the book to be a valuable resource for a clear view of the leading-edge research on fractals and dynamic systems in Geoscience.
Book Synopsis Non-Linear Dynamics in Geophysics by : Jacques Dubois
Download or read book Non-Linear Dynamics in Geophysics written by Jacques Dubois and published by . This book was released on 1998-07-14 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Nonlinear Dynamics, Analytics and Predictability of Complex Geophysical Systems by : Perdigão
Download or read book Nonlinear Dynamics, Analytics and Predictability of Complex Geophysical Systems written by Perdigão and published by . This book was released on 2018-04-20 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Geosciences by : Joseph L. Awange
Download or read book Mathematical Geosciences written by Joseph L. Awange and published by Springer. This book was released on 2018-01-29 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book showcases powerful new hybrid methods that combine numerical and symbolic algorithms. Hybrid algorithm research is currently one of the most promising directions in the context of geosciences mathematics and computer mathematics in general. One important topic addressed here with a broad range of applications is the solution of multivariate polynomial systems by means of resultants and Groebner bases. But that’s barely the beginning, as the authors proceed to discuss genetic algorithms, integer programming, symbolic regression, parallel computing, and many other topics. The book is strictly goal-oriented, focusing on the solution of fundamental problems in the geosciences, such as positioning and point cloud problems. As such, at no point does it discuss purely theoretical mathematics. "The book delivers hybrid symbolic-numeric solutions, which are a large and growing area at the boundary of mathematics and computer science." Dr. Daniel Li chtbau
Book Synopsis Modeling and Analysis of Diffusive and Advective Processes in Geosciences by : William Edward Fitzgibbon
Download or read book Modeling and Analysis of Diffusive and Advective Processes in Geosciences written by William Edward Fitzgibbon and published by SIAM. This book was released on 1992-01-01 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Not a collection of proceedings, but 11 papers on topics that emerged from a September 1989 conference in Houston on mathematical and computational issues in geophysical fluid and solid mechanics. The discussions include a semi-linear heat equation subject to the specification of energy, an analytic
Book Synopsis Nonlinear Time Series Analysis in the Geosciences by : Reik V. Donner
Download or read book Nonlinear Time Series Analysis in the Geosciences written by Reik V. Donner and published by Springer. This book was released on 2008-08-03 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: The enormous progress over the last decades in our understanding of the mechanisms behind the complex system “Earth” is to a large extent based on the availability of enlarged data sets and sophisticated methods for their analysis. Univariate as well as multivariate time series are a particular class of such data which are of special importance for studying the dynamical p- cesses in complex systems. Time series analysis theory and applications in geo- and astrophysics have always been mutually stimulating, starting with classical (linear) problems like the proper estimation of power spectra, which hasbeenputforwardbyUdnyYule(studyingthefeaturesofsunspotactivity) and, later, by John Tukey. In the second half of the 20th century, more and more evidence has been accumulated that most processes in nature are intrinsically non-linear and thus cannot be su?ciently studied by linear statistical methods. With mat- matical developments in the ?elds of dynamic system’s theory, exempli?ed by Edward Lorenz’s pioneering work, and fractal theory, starting with the early fractal concepts inferred by Harold Edwin Hurst from the analysis of geoph- ical time series,nonlinear methods became available for time seriesanalysis as well. Over the last decades, these methods have attracted an increasing int- est in various branches of the earth sciences. The world’s leading associations of geoscientists, the American Geophysical Union (AGU) and the European Geosciences Union (EGU) have reacted to these trends with the formation of special nonlinear focus groups and topical sections, which are actively present at the corresponding annual assemblies.
Book Synopsis Encyclopedia of Mathematical Geosciences by : B. S. Daya Sagar
Download or read book Encyclopedia of Mathematical Geosciences written by B. S. Daya Sagar and published by Springer Nature. This book was released on 2023-07-13 with total page 1744 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Mathematical Geosciences is a complete and authoritative reference work. It provides concise explanation on each term that is related to Mathematical Geosciences. Over 300 international scientists, each expert in their specialties, have written around 350 separate articles on different topics of mathematical geosciences including contributions on Artificial Intelligence, Big Data, Compositional Data Analysis, Geomathematics, Geostatistics, Geographical Information Science, Mathematical Morphology, Mathematical Petrology, Multifractals, Multiple Point Statistics, Spatial Data Science, Spatial Statistics, and Stochastic Process Modeling. Each topic incorporates cross-referencing to related articles, and also has its own reference list to lead the reader to essential articles within the published literature. The entries are arranged alphabetically, for easy access, and the subject and author indices are comprehensive and extensive.
Book Synopsis Fractals and Dynamic Systems in Geoscience by : Tom G. Blenkinsop
Download or read book Fractals and Dynamic Systems in Geoscience written by Tom G. Blenkinsop and published by Birkhäuser. This book was released on 2012-12-06 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concepts and methods of fractal geometry penetrate various branches of human knowledge to an increasing degree. This tendency is particularly striking in the geosciences, because many processes occurring in and on the Earth result in time dependences and spatial patterns that have a fractal character. The contributions in this volume arose from the "3rd International Symposium on Fractals and Dynamic Systems in Geosciences", held at Stara Lesna, Slovakia in June, 1997. The volume contains new ideas and applications of fractal geometry in such diverse branches of geoscience as engineering geology, the physics of the lithosphere (including faulting, seismicity, and fluid flow), and climate behavior.
Book Synopsis Nonlinear Dynamics of the Lithosphere and Earthquake Prediction by : Vladimir Keilis-Borok
Download or read book Nonlinear Dynamics of the Lithosphere and Earthquake Prediction written by Vladimir Keilis-Borok and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The vulnerability of our civilization to earthquakes is rapidly growing, rais ing earthquakes to the ranks of major threats faced by humankind. Earth quake prediction is necessary to reduce that threat by undertaking disaster preparedness measures. This is one of the critically urgent problems whose solution requires fundamental research. At the same time, prediction is a ma jor tool of basic science, a source of heuristic constraints and the final test of theories. This volume summarizes the state-of-the-art in earthquake prediction. Its following aspects are considered: - Existing prediction algorithms and the quality of predictions they pro vide. - Application of such predictions for damage reduction, given their current accuracy, so far limited. - Fundamental understanding of the lithosphere gained in earthquake prediction research. - Emerging possibilities for major improvements of earthquake prediction methods. - Potential implications for predicting other disasters, besides earthquakes. Methodologies. At the heart of the research described here is the inte gration of three methodologies: phenomenological analysis of observations; "universal" models of complex systems such as those considered in statistical physics and nonlinear dynamics; and Earth-specific models of tectonic fault networks. In addition, the theory of optimal control is used to link earthquake prediction with earthquake preparedness.
Book Synopsis Nonlinear and Stochastic Climate Dynamics by : Christian L. E. Franzke
Download or read book Nonlinear and Stochastic Climate Dynamics written by Christian L. E. Franzke and published by Cambridge University Press. This book was released on 2017-01-19 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is now widely recognized that the climate system is governed by nonlinear, multi-scale processes, whereby memory effects and stochastic forcing by fast processes, such as weather and convective systems, can induce regime behavior. Motivated by present difficulties in understanding the climate system and to aid the improvement of numerical weather and climate models, this book gathers contributions from mathematics, physics and climate science to highlight the latest developments and current research questions in nonlinear and stochastic climate dynamics. Leading researchers discuss some of the most challenging and exciting areas of research in the mathematical geosciences, such as the theory of tipping points and of extreme events including spatial extremes, climate networks, data assimilation and dynamical systems. This book provides graduate students and researchers with a broad overview of the physical climate system and introduces powerful data analysis and modeling methods for climate scientists and applied mathematicians.
Book Synopsis The Role of Turbulence in the Solar Wind, Magnetosphere, Ionosphere Dynamics by : Marina Stepanova
Download or read book The Role of Turbulence in the Solar Wind, Magnetosphere, Ionosphere Dynamics written by Marina Stepanova and published by Frontiers Media SA. This book was released on 2022-03-24 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Climate Dynamics by : Henk A. Dijkstra
Download or read book Nonlinear Climate Dynamics written by Henk A. Dijkstra and published by Cambridge University Press. This book was released on 2013-06-17 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces stochastic dynamical systems theory in order to synthesize our current knowledge of climate variability. Nonlinear processes, such as advection, radiation and turbulent mixing, play a central role in climate variability. These processes can give rise to transition phenomena, associated with tipping or bifurcation points, once external conditions are changed. The theory of dynamical systems provides a systematic way to study these transition phenomena. Its stochastic extension also forms the basis of modern (nonlinear) data analysis techniques, predictability studies and data assimilation methods. Early chapters apply the stochastic dynamical systems framework to a hierarchy of climate models to synthesize current knowledge of climate variability. Later chapters analyse phenomena such as the North Atlantic Oscillation, El Niño/Southern Oscillation, Atlantic Multidecadal Variability, Dansgaard–Oeschger events, Pleistocene ice ages and climate predictability. This book will prove invaluable for graduate students and researchers in climate dynamics, physical oceanography, meteorology and paleoclimatology.
Book Synopsis Planetary Geosciences--1988 by : Maria T. Zuber
Download or read book Planetary Geosciences--1988 written by Maria T. Zuber and published by . This book was released on 1989 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Planetary Geosciences--1988 by : Maria Zuber
Download or read book Planetary Geosciences--1988 written by Maria Zuber and published by . This book was released on 1989 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
