Download or read book Geography of Order and Chaos in Mechanics written by Bruno Cordani and published by Springer Science & Business Media. This book was released on 2012-09-29 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This original monograph aims to explore the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book studies several of these systems—including for example the hydrogen atom or the solar system, with the associated Arnold web—through modern tools such as the frequency modified fourier transform, wavelets, and the frequency modulation indicator. Meanwhile, it draws heavily on the more standard KAM and Nekhoroshev theorems. Geography of Order and Chaos in Mechanics will be a valuable resource for professional researchers and certain advanced undergraduate students in mathematics and physics, but mostly will be an exceptional reference for Ph.D. students with an interest in perturbation theory.
Download or read book Geography of Order and Chaos in Mechanics written by Bruno Cordani and published by Springer Science & Business Media. This book was released on 2012-09-17 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This original monograph aims to explore the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces. With both analytic and numerical methods, the book studies several of these systems—including for example the hydrogen atom or the solar system, with the associated Arnold web—through modern tools such as the frequency modified fourier transform, wavelets, and the frequency modulation indicator. Meanwhile, it draws heavily on the more standard KAM and Nekhoroshev theorems. Geography of Order and Chaos in Mechanics will be a valuable resource for professional researchers and certain advanced undergraduate students in mathematics and physics, but mostly will be an exceptional reference for Ph.D. students with an interest in perturbation theory.
Download or read book Chaos written by Angelo Vulpiani and published by World Scientific. This book was released on 2010 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology. The book is novel in devoting attention to a few topics often overlooked in introductory textbooks and which are usually found only in advanced surveys such as: information and algorithmic complexity theory applied to chaos and generalization of Lyapunov exponents to account for spatiotemporal and non-infinitesimal perturbations. The selection of topics, numerous illustrations, exercises and proposals for computer experiments make the book ideal for both introductory and advanced courses. Sample Chapter(s). Introduction (164 KB). Chapter 1: First Encounter with Chaos (1,323 KB). Contents: First Encounter with Chaos; The Language of Dynamical Systems; Examples of Chaotic Behaviors; Probabilistic Approach to Chaos; Characterization of Chaotic Dynamical Systems; From Order to Chaos in Dissipative Systems; Chaos in Hamiltonian Systems; Chaos and Information Theory; Coarse-Grained Information and Large Scale Predictability; Chaos in Numerical and Laboratory Experiments; Chaos in Low Dimensional Systems; Spatiotemporal Chaos; Turbulence as a Dynamical System Problem; Chaos and Statistical Mechanics: Fermi-Pasta-Ulam a Case Study. Readership: Students and researchers in science (physics, chemistry, mathematics, biology) and engineering.
Download or read book Order and Chaos in Nonlinear Physical Systems written by Stig Lundqvist and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is concerned with the theoretical description of patterns and instabilities and their relevance to physics, chemistry, and biology. More specifically, the theme of the work is the theory of nonlinear physical systems with emphasis on the mechanisms leading to the appearance of regular patterns of ordered behavior and chaotic patterns of stochastic behavior. The aim is to present basic concepts and current problems from a variety of points of view. In spite of the emphasis on concepts, some effort has been made to bring together experimental observations and theoretical mechanisms to provide a basic understanding of the aspects of the behavior of nonlinear systems which have a measure of generality. Chaos theory has become a real challenge to physicists with very different interests and also in many other disciplines, of which astronomy, chemistry, medicine, meteorology, economics, and social theory are already embraced at the time of writing. The study of chaos-related phenomena has a truly interdisciplinary charac ter and makes use of important concepts and methods from other disciplines. As one important example, for the description of chaotic structures the branch of mathematics called fractal geometry (associated particularly with the name of Mandelbrot) has proved invaluable. For the discussion of the richness of ordered structures which appear, one relies on the theory of pattern recognition. It is relevant to mention that, to date, computer studies have greatly aided the analysis of theoretical models describing chaos.
Download or read book Order Within Chaos written by Pierre Berge and published by Wiley-VCH. This book was released on 1986 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presented at a relatively elementary level, this introduction to the study of dissipative dynamical systems is addressed to an audience which is scientifically cultivated but not specialized in this discipline. Encompasses the analysis of all time-dependent phenomena, treating the major types of behavior or of evolution without direct reference to the material aspects. Focuses on physics and chemistry and avoids mathematical treatment. In a panorama which is coherent and accessible, it describes concretely the important dynamical phenomena and the way in which they appear in experimental reality. Covers basic vocabulary and regular periodic behavior, and goes on to apply them in analytical methods.
Download or read book On the Order of Chaos written by Mark S. Mosko and published by Berghahn Books. This book was released on 2005-10-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past two decades, “chaos theory” – the perception of order previously hidden in phenomena of apparent randomness and disorder – has fundamentally transformed the natural sciences. In recent years, numerous scholars in the social sciences and humanities have attempted to adapt the insights of chaos theory to their studies of human cultural and social systems. Several of the world’s leading anthropologists, such as Roy Wagner, Marshall Sahlins, Marilyn Strathern, and Arjun Appadurai – have similarly drawn upon particular elements of chaos theory for their inspiration, but as yet there is no focused, comprehensive treatment of the applicability of chaos theory to anthropology’s distinctive ethnographic and cross-cultural materials. This edited volume fills the gap, with both accessible theoretical discussions of chaos theory applications in anthropology and detailed ethnographic and historical illustrations from Africa and Melanesia.
Download or read book In the Wake of Chaos written by Stephen H. Kellert and published by University of Chicago Press. This book was released on 1994-10-28 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos theory has captured scientific and popular attention. What began as the discovery of randomness in simple physical systems has become a widespread fascination with "chaotic" models of everything from business cycles to brainwaves to heart attacks. But what exactly does this explosion of new research into chaotic phenomena mean for our understanding of the world? In this timely book, Stephen Kellert takes the first sustained look at the broad intellectual and philosophical questions raised by recent advances in chaos theory—its implications for science as a source of knowledge and for the very meaning of that knowledge itself.
Download or read book Physical Geography The Key Concepts written by Richard John Huggett and published by Routledge. This book was released on 2009-06-26 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physical Geography: The Key Concepts is a thought-provoking and up-to-date introduction to the central ideas and debates within the field. It provides extended definitions of terms that are fundamental to physical geography and its many branches, covering topics such as: biogeography ecology climatology meteorology geomorphology hydrology pedology Complete with informative tables, diagrams, and suggestions for further reading, this is a highly accessible guide for those studying physical geography and related courses.
Download or read book The War of Desire and Technology at the Close of the Mechanical Age written by Allucquère Rosanne Stone and published by MIT Press. This book was released on 1996 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Human communication has traditionally revealed important aspects of identity such as gender, age and race. However, such information is now often masked by computer-mediated communications. This text examines the various ways modern technology is challenging conventional notions of gender identity.
Download or read book The Kepler Problem written by Bruno Cordani and published by Birkhäuser. This book was released on 2012-12-06 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because of the correspondences existing among all levels of reality, truths pertaining to a lower level can be considered as symbols of truths at a higher level and can therefore be the "foundation" or support leading by analogy to a knowledge of the latter. This confers to every science a superior or "elevating" meaning, far deeper than its own original one. - R. GUENON, The Crisis of Modern World Having been interested in the Kepler Problem for a long time, I have al ways found it astonishing that no book has been written yet that would address all aspects of the problem. Besides hundreds of articles, at least three books (to my knowledge) have indeed been published al ready on the subject, namely Englefield (1972), Stiefel & Scheifele (1971) and Guillemin & Sternberg (1990). Each of these three books deals only with one or another aspect of the problem, though. For example, En glefield (1972) treats only the quantum aspects, and that in a local way. Similarly, Stiefel & Scheifele (1971) only considers the linearization of the equations of motion with application to the perturbations of celes tial mechanics. Finally, Guillemin & Sternberg (1990) is devoted to the group theoretical and geometrical structure.
Download or read book Order Out of Chaos written by Ilya Prigogine and published by . This book was released on 1984 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uitleg van nieuwe wetenschappelijke-wijsgerige visies op de natuurwetten, in het bijzonder in de thermodynamica, berustend op het belang van de instabiliteit van bestaande systemen
Download or read book Critical Phenomena in Natural Sciences written by Didier Sornette and published by Taylor & Francis US. This book was released on 2006-03-13 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concepts, methods and techniques of statistical physics in the study of correlated, as well as uncorrelated, phenomena are being applied ever increasingly in the natural sciences, biology and economics in an attempt to understand and model the large variability and risks of phenomena. This is the first textbook written by a well-known expert that provides a modern up-to-date introduction for workers outside statistical physics. The emphasis of the book is on a clear understanding of concepts and methods, while it also provides the tools that can be of immediate use in applications. Although this book evolved out of a course for graduate students, it will be of great interest to researchers and engineers, as well as to post-docs in geophysics and meteorology.
Download or read book Geographic Information Analysis written by David O'Sullivan and published by John Wiley & Sons. This book was released on 2014-07-30 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear, up-to-date coverage of methods for analyzing geographicalinformation in a GIS context Geographic Information Analysis, Second Edition is fullyupdated to keep pace with the most recent developments of spatialanalysis in a geographic information systems (GIS) environment.Still focusing on the universal aspects of this science, thisrevised edition includes new coverage on geovisualization andmapping as well as recent developments using local statistics. Building on the fundamentals, this book explores such keyconcepts as spatial processes, point patterns, and autocorrelationin area data, as well as in continuous fields. Also addressed aremethods for combining maps and performing computationally intensiveanalysis. New chapters tackle mapping, geovisualization, and localstatistics, including the Moran Scatterplot and GeographicallyWeighted Regression (GWR). An appendix provides a primer on linearalgebra using matrices. Complete with chapter objectives, summaries, "thoughtexercises," explanatory diagrams, and a chapter-by-chapterbibliography, Geographic Information Analysis is a practicalbook for students, as well as a valuable resource for researchersand professionals in the industry.
Download or read book The Ashgate Research Companion to Planning Theory written by Patsy Healey and published by Routledge. This book was released on 2016-11-03 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: At a time of potentially radical changes in the ways in which humans interact with their environments - through financial, environmental and/or social crises - the raison d'être of spatial planning faces significant conceptual and empirical challenges. This Companion presents a multidimensional collection of critical narratives of conceptual challenges for spatial planning. The authors draw on various disciplinary traditions and theoretical frames to explore different ways of conceptualising spatial planning and the challenges it faces. Through problematising planning itself, the values which underpin planning and theory-practice relations, contributions make visible the limits of established planning theories and illustrate how, by thinking about new issues, or about issues in new ways, spatial planning might be advanced both theoretically and practically. There cannot be definitive answers to the conceptual challenges posed, but the authors in this collection provoke critical questions and debates over important issues for spatial planning and its future. A key question is not so much what planning theory is, but what might planning theory do in times of uncertainty and complexity. An underlying rationale is that planning theory and practice are intrinsically connected. The Companion is presented in three linked parts: issues which arise from an interactive understanding of the relations between planning ideas and the political-institutional contexts in which such ideas are put to work; key concepts in current theorising from mainly poststructuralist perspectives and what discussion on complexity may offer planning theory and practice.
Download or read book Mining Africa written by Warikandwa, Tapiwa V. and published by Langaa RPCIG. This book was released on 2017-05-01 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a pacesetter in matters of mining and the environment in Africa from multidisciplinary and spatio-temporal perspectives. The book approaches mining from the perspectives of law, politics, archaeology, anthropology, African studies, geography, human ecology, sociology, history, economics and development. It interrogates mining and environment from the perspectives of customary law as well as from the perspectives of Euro-modern laws. In this sense, the book straddles precolonial, colonial and postcolonial mining and environmental perspectives. In all this, it maintains a Pan-Africanist perspective that also speaks to contemporary debates on African Renaissance and to the unity of Africa. From scrutinising the lived realities of African miners who are often insensitively and unjustly addressed as “illegal” miners, the book also interrogates transnational mining corporations; matters of corporate social responsibility as well as matters of tax evasions by transnational corporations whose commitment to accountability to African governments is questioned. With both theoretical chapters and chapter based on empirical studies on mining and the environment across the African continent, the book provides a much needed holistic, one stop shop for scholars, activists, researchers and policy makers who need a comprehensive treatise on African mining and the environment. The book comes at the right time when matters of African mining and environment are increasingly coming to the fore in the light of discourses about the new 21st century scramble for African resources, in which big transnational corporations and nations are jostling to suck Africa dry in their race to control planetary resources. It is a book that speaks to contemporary broader issues of (de-)coloniality and transformation of African minds and African environmental resources.
Download or read book The Journal of Geography written by and published by . This book was released on 1920 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: