Download or read book The Nonlinear World written by Yoshitsugu Oono and published by Springer Science & Business Media. This book was released on 2012-10-30 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most important characteristic of the “world filled with nonlinearity” is the existence of scale interference: disparate space–time scales interfere with each other. Thus, the effects of unknowable scales invade the world that we can observe directly. This leads to various peculiar phenomena such as chaos, critical phenomena, and complex biological phenomena, among others. Conceptual analysis and phenomenology are the keys to describe and understand phenomena that are subject to scale interference, because precise description of unfamiliar phenomena requires precise concepts and their phenomenological description. The book starts with an illustration of conceptual analysis in terms of chaos and randomness, and goes on to explain renormalization group philosophy as an approach to phenomenology. Then, abduction is outlined as a way to express what we have understood about the world. The book concludes with discussions on how we can approach genuinely complex phenomena, including biological phenomena. The main target of this volume is young people who have just started to appreciate the world seriously. The author also wishes the book to be helpful to those who have been observing the world, but who wish to appreciate it afresh from a different angle.
Download or read book It s a Nonlinear World written by Richard H. Enns and published by Springer Science & Business Media. This book was released on 2010-10-14 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing examples from mathematics, physics, chemistry, biology, engineering, economics, medicine, politics, and sports, this book illustrates how nonlinear dynamics plays a vital role in our world. Examples cover a wide range from the spread and possible control of communicable diseases, to the lack of predictability in long-range weather forecasting, to competition between political groups and nations. After an introductory chapter that explores what it means to be nonlinear, the book covers the mathematical concepts such as limit cycles, fractals, chaos, bifurcations, and solitons, that will be applied throughout the book. Numerous computer simulations and exercises allow students to explore topics in greater depth using the Maple computer algebra system. The mathematical level of the text assumes prior exposure to ordinary differential equations and familiarity with the wave and diffusion equations. No prior knowledge of Maple is assumed. The book may be used at the undergraduate or graduate level to prepare science and engineering students for problems in the "real world", or for self-study by practicing scientists and engineers.
Download or read book Nonlinear Workbook The Chaos Fractals Cellular Automata Neural Networks Genetic Algorithms Gene Expression Programming Support Vector Machine Wavelets Hidden Markov Models Fuzzy Logic With C Java And Symbolicc Programs 3rd Edition written by Steeb Willi-hans and published by World Scientific Publishing Company. This book was released on 2005-03-28 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of nonlinear dynamical systems has advanced tremendously in the last 20 years, making a big impact on science and technology. This book provides all the techniques and methods used in nonlinear dynamics. The concepts and underlying mathematics are discussed in detail.The numerical and symbolic methods are implemented in C++, SymbolicC++ and Java. Object-oriented techniques are also applied. The book contains more than 150 ready-to-run programs.The text has also been designed for a one-year course at both the junior and senior levels in nonlinear dynamics. The topics discussed in the book are part of e-learning and distance learning courses conducted by the International School for Scientific Computing.
Download or read book A Thousand Years of Nonlinear History written by Manuel De Landa and published by Princeton University Press. This book was released on 2021-09-14 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following in the wake of his groundbreaking work War in the Age of Intelligent Machines, Manuel De Landa presents a brilliant, radical synthesis of historical development of the last thousand years. A Thousand Years of Nonlinear History sketches the outlines of a renewed materialist philosophy of history in the tradition of Fernand Braudel, Gilles Deleuze, and Félix Guattari, while engaging — in an entirely unprecedented manner — the critical new understanding of material processes derived from the sciences of dynamics. Working against prevailing attitudes that see history merely as the arena of texts, discourses, ideologies, and metaphors, De Landa traces the concrete movements and interplays of matter and energy through human populations in the last millennium. The result is an entirely novel approach to the study of human societies and their always mobile, semi-stable forms, cities, economies, technologies, and languages. De Landa attacks three domains that have given shape to human societies: economics, biology, and linguistics. In each case, De Landa discloses the self-directed processes of matter and energy interacting with the whim and will of human history itself to form a panoramic vision of the West free of rigid teleology and naive notions of progress and, even more important, free of any deterministic source for its urban, institutional, and technological forms. The source of all concrete forms in the West’s history, rather, is shown to derive from internal morphogenetic capabilities that lie within the flow of matter—energy itself. A Swerve Edition.
Download or read book Nonlinear Dispersive Equations written by Terence Tao and published by American Mathematical Soc.. This book was released on 2006 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Starting only with a basic knowledge of graduate real analysis and Fourier analysis, the text first presents basic nonlinear tools such as the bootstrap method and perturbation theory in the simpler context of nonlinear ODE, then introduces the harmonic analysis and geometric tools used to control linear dispersive PDE. These methods are then combined to study four model nonlinear dispersive equations. Through extensive exercises, diagrams, and informal discussion, the book gives a rigorous theoretical treatment of the material, the real-world intuition and heuristics that underlie the subject, as well as mentioning connections with other areas of PDE, harmonic analysis, and dynamical systems.".
Download or read book No Straight Lines written by Alan Moore and published by . This book was released on 2011 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author argues that we have reached the nadir of the adaptive range of our industrialised world. Now faced with an unsustainable trilemma of social, organisational and economic complexity, we have entered an era in which the rules we have previously organised our lives around no longer apply. Leaving us with both a design problem and a design challenge which we must urgently solve. By describing an entirely new way for true social, economic and organisational innovation to happen, No straight lines presents a revolutionary logic and an inspiring plea for a more human-centric world.
Download or read book Development of Memristor Based Circuits written by Herbert Ho-Ching Iu and published by World Scientific. This book was released on 2013 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Summary: "As memristors are not yet on the market, the development of memristor emulators and memristor based circuits is very important for real and practical engineering applications. The objectives of this book are to review the basic concepts of the memristor, describe state-of-the-art memristor based circuits and to stimulate further research and development in this area."--Preface.
Download or read book Exploration of a Nonlinear World written by Kung-Sik Chan and published by World Scientific. This book was released on 2009 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This festschrift is dedicated to Professor Howell Tong on the occasion of his 65th birthday. With a Foreword written by Professor Peter Whittle, FRS, it celebrates Tong's path-breaking and tireless contributions to nonlinear time series analysis, chaos and statistics, by reprinting 10 selected papers by him and his collaborators, which are interleaved with 17 original reviews, written by 19 international experts. Through these papers and reviews, readers will have an opportunity to share many of the excitements, retrospectively and prospectively, of the relatively new subject of nonlinear time series. Tong has played a leading role in laying the foundation of the subject; his innovative and authoritative contributions are reflected in the review articles in the volume, which describe modern and related developments in the subject, including applications in many major fields such as ecology, economics, finance and others. This volume will be useful to researchers and students interested in the theory and practice of nonlinear time series analysis. Sample Chapter(s). Foreword (68 KB). Chapter 1: Birth of the Threshold Time Series Model (269 KB). Contents: Reflections on Threshold Autoregression (P J Brockwell); The Threshold Approach in Volatility Modelling (W K Li); Dependence and Nonlinearity (M Rosenblatt); Recent Developments on Semiparametric Regression Model Selection (J Gao); Thoughts on the Connections Between Threshold Time Series Models and Dynamical Systems (D B H Cline); Crossing the Bridge Backwards: Some Comments on Early Interdisciplinary Efforts (C D Cutler); On Likelihood Ratio Tests for Threshold Autoregression (K-S Chan & H Tong); An Adaptive Estimation Method for Semiparametric Models and Dimension Reduction (C Leng et al.); On Howell Tong's Contributions to Reliability (M M Ali); and other papers. Readership: Graduate students and researchers in statistics and related fields of ecology, economics and finance.
Download or read book Nonlinear World Iv International Workshop On Nonlinear And Turbulent Processes In Physics In 2 Volumes written by Bar'yakhtar V G and published by World Scientific. This book was released on 1990-09-17 with total page 1540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction To Nonlinear Dynamics For Physicists written by Henry D I Abarbanel and published by World Scientific. This book was released on 1993-06-23 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series of lectures aims to address three main questions that anyone interested in the study of nonlinear dynamics should ask and ponder over. What is nonlinear dynamics and how does it differ from linear dynamics which permeates all familiar textbooks? Why should the physicist study nonlinear systems and leave the comfortable territory of linearity? How can one progress in the study of nonlinear systems both in the analysis of these systems and in learning about new systems from observing their experimental behavior? While it is impossible to answer these questions in the finest detail, this series of lectures nonetheless successfully points the way for the interested reader. Other useful problems have also been incorporated as a study guide. By presenting both substantial qualitative information about phenomena in nonlinear systems and at the same time sufficient quantitative material, the author hopes that readers would learn how to progress on their own in the study of such similar material hereon.
Download or read book The Global Nonlinear Stability of the Minkowski Space PMS 41 written by Demetrios Christodoulou and published by Princeton University Press. This book was released on 2014-07-14 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singularities. The work contains a detailed description of the sense in which these solutions are close to the Minkowski space-time, in all directions. It thus provides the mathematical framework in which we can give a rigorous derivation of the laws of gravitation proposed by Bondi. Moreover, it establishes other important conclusions concerning the nonlinear character of gravitational radiation. The authors obtain their solutions as dynamic developments of all initial data sets, which are close, in a precise manner, to the flat initial data set corresponding to the Minkowski space-time. They thus establish the global dynamic stability of the latter. Originally published in 1994. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Download or read book Nonlinear Dynamics and Chaos written by Steven H. Strogatz and published by CRC Press. This book was released on 2018-05-04 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Download or read book Methods of Qualitative Theory in Nonlinear Dynamics written by Leonid P. Shilnikov and published by World Scientific. This book was released on 1998 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bifurcation and Chaos has dominated research in nonlinear dynamics for over two decades and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book is written to serve the above unfulfilled need. Following the footsteps of Poincare, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in this book were developed only recently and have not yet appeared in a textbook form. In keeping with the self-contained nature of this book, all topics are developed with an introductory background and complete mathematical rigor. Generously illustrated and written with a high level of exposition, this book will appeal to both beginners and advanced studentsof nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject.
Download or read book World Congress of Nonlinear Analysts 92 written by V. Lakshmikantham and published by Walter de Gruyter. This book was released on 2011-11-14 with total page 4040 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Dynamics of Interacting Populations written by A. D. Bazykin and published by World Scientific. This book was released on 1998 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a systematic study of ecological communities of two or three interacting populations. Starting from the Lotka-Volterra system, various regulating factors are considered, such as rates of birth and death, predation and competition. The different factors can have a stabilizing or a destabilizing effect on the community, and their interplay leads to increasingly complicated behavior. Studying and understanding this path to greater dynamical complexity of ecological systems constitutes the backbone of this book. On the mathematical side, the tool of choice is the qualitative theory of dynamical systems — most importantly bifurcation theory, which describes the dependence of a system on the parameters. This approach allows one to find general patterns of behavior that are expected to be observed in ecological models. Of special interest is the reaction of a given model to disturbances of its present state, as well as to changes in the external conditions. This leads to the general idea of “dangerous boundaries” in the state and parameter space of an ecological system. The study of these boundaries allows one to analyze and predict qualitative and often sudden changes of the dynamics — a much-needed tool, given the increasing antropogenic load on the biosphere.As a spin-off from this approach, the book can be used as a guided tour of bifurcation theory from the viewpoint of application. The interested reader will find a wealth of intriguing examples of how known bifurcations occur in applications. The book can in fact be seen as bridging the gap between mathematical biology and bifurcation theory.
Download or read book Chaos in Nature written by Christophe Letellier and published by World Scientific. This book was released on 2013 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos theory deals with the description of motion (in a general sense) which cannot be predicted in the long term although produced by deterministic system, as well exemplified by meteorological phenomena. It directly comes from the Lunar theory — a three-body problem — and the difficulty encountered by astronomers to accurately predict the long-term evolution of the Moon using “Newtonian” mechanics. Henri Poincaré's deep intuitions were at the origin of chaos theory. They also led the meteorologist Edward Lorenz to draw the first chaotic attractor ever published. But the main idea consists of plotting a curve representative of the system evolution rather than finding an analytical solution as commonly done in classical mechanics. Such a novel approach allows the description of population interactions and the solar activity as well. Using the original sources, the book draws on the history of the concepts underlying chaos theory from the 17th century to the last decade, and by various examples, show how general is this theory in a wide range of applications: meteorology, chemistry, populations, astrophysics, biomedicine, etc.
Download or read book Business Optimization Using Mathematical Programming written by Josef Kallrath and published by Springer Nature. This book was released on 2021-08-31 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a structured approach to formulate, model, and solve mathematical optimization problems for a wide range of real world situations. Among the problems covered are production, distribution and supply chain planning, scheduling, vehicle routing, as well as cutting stock, packing, and nesting. The optimization techniques used to solve the problems are primarily linear, mixed-integer linear, nonlinear, and mixed integer nonlinear programming. The book also covers important considerations for solving real-world optimization problems, such as dealing with valid inequalities and symmetry during the modeling phase, but also data interfacing and visualization of results in a more and more digitized world. The broad range of ideas and approaches presented helps the reader to learn how to model a variety of problems from process industry, paper and metals industry, the energy sector, and logistics using mathematical optimization techniques.
