The Nonlinear World

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The Nonlinear World

Author : Yoshitsugu Oono
Publisher : Springer Science & Business Media
ISBN 13 : 4431540296
Total Pages : 307 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis The Nonlinear World by : Yoshitsugu Oono

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.

It's a Nonlinear World

Author : Richard H. Enns
Publisher : Springer Science & Business Media
ISBN 13 : 0387753400
Total Pages : 384 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis It's a Nonlinear World by : Richard H. Enns

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 384 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.

Nonlinear Dispersive Equations

Author : Terence Tao
Publisher : American Mathematical Soc.
ISBN 13 : 0821841432
Total Pages : 394 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Nonlinear Dispersive Equations by : Terence Tao

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.".

The Nonlinear Workbook

Author : Willi-Hans Steeb
Publisher : World Scientific Publishing Company
ISBN 13 : 9813100702
Total Pages : 644 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis The Nonlinear Workbook by : Willi-Hans Steeb

Download or read book The Nonlinear Workbook written by Willi-Hans Steeb and published by World Scientific Publishing Company. This book was released on 2011-03-16 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Nonlinear Workbook provides a comprehensive treatment of all the techniques in nonlinear dynamics together with C++, Java and SymbolicC++ implementations. The book not only covers the theoretical aspects of the topics but also provides the practical tools. To understand the material, more than 100 worked out examples and 150 ready to run programs are included. New topics added to the fifth edition are Langton's ant, chaotic data communication, self-controlling feedback, differential forms and optimization, T-norms and T-conorms with applications.

Development of Memristor Based Circuits

Author : Herbert Ho-Ching Iu
Publisher : World Scientific
ISBN 13 : 9814383384
Total Pages : 133 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Development of Memristor Based Circuits by : Herbert Ho-Ching Iu

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.

Methods of Qualitative Theory in Nonlinear Dynamics

Author : Leonid P. Shilnikov
Publisher : World Scientific
ISBN 13 : 9789810233822
Total Pages : 420 pages
Book Rating : 4.2/5 (338 download)

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Book Synopsis Methods of Qualitative Theory in Nonlinear Dynamics by : Leonid P. Shilnikov

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.

No Straight Lines

Author : Alan Moore
Publisher :
ISBN 13 : 9780956766243
Total Pages : 249 pages
Book Rating : 4.7/5 (662 download)

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Book Synopsis No Straight Lines by : Alan Moore

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.

A Thousand Years of Nonlinear History

Author : Manuel De Landa
Publisher : Princeton University Press
ISBN 13 : 0942299922
Total Pages : 337 pages
Book Rating : 4.9/5 (422 download)

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Book Synopsis A Thousand Years of Nonlinear History by : Manuel De Landa

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.

Chaos in Nature

Author : Christophe Letellier
Publisher : World Scientific
ISBN 13 : 9814374431
Total Pages : 393 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Chaos in Nature by : Christophe Letellier

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 OCo a three-body problem OCo and the difficulty encountered by astronomers to accurately predict the long-term evolution of the Moon using OC NewtonianOCO mechanics. Henri Poincar(r)''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, et

Introduction to Nonlinear Dynamics for Physicists

Author : H D I Abarbanel
Publisher : World Scientific
ISBN 13 : 9814504122
Total Pages : 168 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Introduction to Nonlinear Dynamics for Physicists by : H D I Abarbanel

Download or read book Introduction to Nonlinear Dynamics for Physicists written by H D I Abarbanel and published by World Scientific. This book was released on 1993-06-23 with total page 168 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. Contents:IntroductionNonlinear Oscillator without DissipationEquilibrium States of a Nonlinear Oscillator with DissipationOscillations in Systems with Nonlinear Dissipation-GeneratorsThe Van der Pol GeneratorThe Poincaré MapSlow and Fast Motions in Systems with One Degree of FreedomForced Nonlinear Oscillators: Linear and Nonlinear ResonancesForced Generator: SynchronizationCompetition of ModesPoincaré Indices and Bifurcations of Equilibrium StatesResonance Interactions between OscillatorsSolitonsSteady Propagation of Shock WavesFormation of Shock WavesSolitons. Shock Waves. Wave Interaction. The Spectral ApproachWeak Turbulence. Random Phase ApproximationRegular Patterns in Dissipative MediaDeterministic Chaos. Qualitative DescriptionDescription of a Circuit with Chaos. Chaos in MapsBifurcations of Periodic Motions. Period DoublingControlled Nonlinear Oscillator. IntermittencyScenarios of the Onset of Chaos. Chaos through Quasi-PeriodicityCharacteristics of Chaos. Experimental Observation of ChaosMultidimensional Chaos. Discrete Ginzburg-Landau ModelProblems to Accompany the Lectures Readership: Physicists. keywords: “These lecture notes briefly introduce the reader to new ideas, so would be a useful addition to a library or a source of ideas for lectures or projects; a good student may also find this text useful as a quick introduction to many new ideas.” Contemporary Physics “Introduction to Nonlinear Dynamics for Physicists … is a compact and fairly terse high-level set of 24 lectures.” New Scientist

Exploration of a Nonlinear World

Author : Kung-Sik Chan
Publisher : World Scientific
ISBN 13 : 9812836284
Total Pages : 412 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Exploration of a Nonlinear World by : Kung-Sik Chan

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.

Nonlinear World: Iv International Workshop On Nonlinear And Turbulent Processes In Physics (In 2 Volumes)

Author : Bar'yakhtar V G
Publisher : World Scientific
ISBN 13 : 9814740845
Total Pages : 1540 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Nonlinear World: Iv International Workshop On Nonlinear And Turbulent Processes In Physics (In 2 Volumes) by : Bar'yakhtar V G

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:

Topology and Dynamics of Chaos

Author : Christophe Letellier
Publisher : World Scientific
ISBN 13 : 9814434868
Total Pages : 362 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Topology and Dynamics of Chaos by : Christophe Letellier

Download or read book Topology and Dynamics of Chaos written by Christophe Letellier and published by World Scientific. This book was released on 2013 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory. Some modern applications are included. The contents are mainly devoted to topology, the main field of Robert Gilmore's works in dynamical systems. They include a review on the topological analysis of chaotic dynamics, works done in the past as well as the very latest issues. Most of the contributors who published during the 90's, including the very well-known scientists Otto RAssler, Ren(r) Lozi and Joan Birman, have made a significant impact on chaos theory, discrete chaos, and knot theory, respectively. Very few books cover the topological approach for investigating nonlinear dynamical systems. The present book will provide not only some historical OCo not necessarily widely known OCo contributions (about the different types of chaos introduced by RAssler and not just the RAssler attractor; Gumowski and Mira's contributions in electronics; Poincar(r)'s heritage in nonlinear dynamics) but also some recent applications in laser dynamics, biology,

Nonlinear Dynamics and Chaos

Author : Steven H. Strogatz
Publisher : CRC Press
ISBN 13 : 0429961111
Total Pages : 532 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Nonlinear Dynamics and Chaos by : Steven H. Strogatz

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.

Business Optimization Using Mathematical Programming

Author : Josef Kallrath
Publisher : Springer Nature
ISBN 13 : 3030732371
Total Pages : 653 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Business Optimization Using Mathematical Programming by : Josef Kallrath

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.

Semi-Classical Analysis for Nonlinear Schr??dinger Equations

Author :
Publisher :
ISBN 13 : 9814471747
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Semi-Classical Analysis for Nonlinear Schr??dinger Equations by :

Download or read book Semi-Classical Analysis for Nonlinear Schr??dinger Equations written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Trends In Chaotic, Nonlinear And Complex Dynamics

Author : Jan Awrejcewicz
Publisher : World Scientific
ISBN 13 : 981122191X
Total Pages : 561 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Recent Trends In Chaotic, Nonlinear And Complex Dynamics by : Jan Awrejcewicz

Download or read book Recent Trends In Chaotic, Nonlinear And Complex Dynamics written by Jan Awrejcewicz and published by World Scientific. This book was released on 2021-07-26 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, enormous progress has been made on nonlinear dynamics particularly on chaos and complex phenomena. This unique volume presents the advances made in theory, analysis, numerical simulation and experimental realization, promising novel practical applications on various topics of current interest on chaos and related fields of nonlinear dynamics.Particularly, the focus is on the following topics: synchronization vs. chaotic phenomena, chaos and its control in engineering dynamical systems, fractal-based dynamics, uncertainty and unpredictability measures vs. chaos, Hamiltonian systems and systems with time delay, local/global stability, bifurcations and their control, applications of machine learning to chaos, nonlinear vibrations of lumped mass mechanical/mechatronic systems (rigid body and coupled oscillator dynamics) governed by ODEs and continuous structural members (beams, plates, shells) vibrations governed by PDEs, patterns formation, chaos in micro- and nano-mechanical systems, chaotic reduced-order models, energy absorption/harvesting from chaotic, chaos vs. resonance phenomena, chaos exhibited by discontinuous systems, chaos in lab experiments.The present volume forms an invaluable source on recent trends in chaotic and complex dynamics for any researcher and newcomers to the field of nonlinear dynamics.