Nonlinear World

Author : Richard H. Enns
Publisher : Springer Science & Business Media
Page : 387 pages
File Size : 47,6 Mb
Release : 2010-10-15
Category : Mathematics
ISBN : 9780387753386

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It's a Nonlinear World by Richard H. Enns Pdf

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.

Author : Richard H. Enns
Publisher : Springer Science & Business Media
Page : 384 pages
File Size : 50,5 Mb
Release : 2010-10-14
Category : Mathematics
ISBN : 9780387753409

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It's a Nonlinear World by Richard H. Enns Pdf

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.

Author : Yoshitsugu Oono
Publisher : Springer Science & Business Media
Page : 307 pages
File Size : 41,7 Mb
Release : 2012-10-30
Category : Science
ISBN : 9784431540298

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The Nonlinear World by Yoshitsugu Oono Pdf

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.

Author : Kung-Sik Chan
Publisher : World Scientific
Page : 412 pages
File Size : 47,9 Mb
Release : 2009
Category : Business & Economics
ISBN : 9789812836281

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Exploration of a Nonlinear World by Kung-Sik Chan Pdf

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.

Author : Bar'yakhtar V G,Chernousenko V M,Erokhin Nikolai S
Publisher : World Scientific
Page : 1540 pages
File Size : 54,6 Mb
Release : 1990-09-17
Category : Electronic
ISBN : 9789814740845

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Nonlinear World: Iv International Workshop On Nonlinear And Turbulent Processes In Physics (In 2 Volumes) by Bar'yakhtar V G,Chernousenko V M,Erokhin Nikolai S Pdf

Author : V. Lakshmikantham
Publisher : Walter de Gruyter
Page : 4040 pages
File Size : 49,6 Mb
Release : 2011-11-14
Category : Mathematics
ISBN : 9783110883237

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World Congress of Nonlinear Analysts '92 by V. Lakshmikantham Pdf

Author : Manuel De Landa
Publisher : Princeton University Press
Page : 337 pages
File Size : 54,6 Mb
Release : 2021-09-14
Category : History
ISBN : 9780942299922

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A Thousand Years of Nonlinear History by Manuel De Landa Pdf

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.

Author : Terence Tao
Publisher : American Mathematical Soc.
Page : 394 pages
File Size : 48,7 Mb
Release : 2006
Category : Differential equations, Partial
ISBN : 9780821841433

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Nonlinear Dispersive Equations by Terence Tao Pdf

"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.".

Author : Alan Moore
Publisher : Unknown
Page : 249 pages
File Size : 40,8 Mb
Release : 2011
Category : Social Science
ISBN : 0956766242

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No Straight Lines by Alan Moore Pdf

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.

Author : A. D. Bazykin,Aleksandr Iosifovich Khibnik,Bernd Krauskopf
Publisher : World Scientific
Page : 224 pages
File Size : 54,5 Mb
Release : 1998
Category : Science
ISBN : 9810216858

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Nonlinear Dynamics of Interacting Populations by A. D. Bazykin,Aleksandr Iosifovich Khibnik,Bernd Krauskopf Pdf

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.

Author : Willi-Hans Steeb
Publisher : World Scientific Publishing Company
Page : 644 pages
File Size : 45,7 Mb
Release : 2011-03-16
Category : Science
ISBN : 9789813100701

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The Nonlinear Workbook by Willi-Hans Steeb Pdf

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.

Author : Tamotsu Onozaki
Publisher : Springer
Page : 220 pages
File Size : 52,9 Mb
Release : 2018-01-28
Category : Business & Economics
ISBN : 9784431549710

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Nonlinearity, Bounded Rationality, and Heterogeneity by Tamotsu Onozaki Pdf

This book pursues a nonlinear approach in considering both chaotic dynamical models and agent-based simulation models of economics, as well as their dynamical behaviors. Three key concepts arising in this context are “nonlinearity,” “bounded rationality” and “heterogeneity,” which also make up the title of the book. Nonlinearity is the warp that runs throughout all models because systems that exhibit chaotic or other complex behavior in the absence of any exogenous disturbances are absolutely nonlinear. Bounded rationality constitutes the woof, because economic systems do not exhibit complex behavior if all agents are perfectly rational, as is usually assumed in neoclassical economics. Agents who are boundedly rational have to struggle to do their best with limited information and tend to adapt to their economic environment without knowing what is the best. Furthermore, the heterogeneity of firms or consumers dyes the fabric of complex dynamics woven from the warp and woof.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 47,5 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9789814471749

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Semi-Classical Analysis for Nonlinear Schr??dinger Equations by Anonim Pdf

Author : Herbert Ho-Ching Iu,Andrew L. Fitch
Publisher : World Scientific
Page : 133 pages
File Size : 40,9 Mb
Release : 2013
Category : Mathematics
ISBN : 9789814383387

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Development of Memristor Based Circuits by Herbert Ho-Ching Iu,Andrew L. Fitch Pdf

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.

Author : D. Amberson,E. Past
Publisher : Springer
Page : 270 pages
File Size : 43,8 Mb
Release : 2014-09-18
Category : Literary Criticism
ISBN : 9781137454775

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Thinking Italian Animals by D. Amberson,E. Past Pdf

This bracing volume collects work on Italian writers and filmmakers that engage with nonhuman animal subjectivity. These contributions address 3 major strands of philosophical thought: perceived borders between man and animals, historical and fictional crises, and human entanglement with the nonhuman and material world.