Applied Chaos
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Chaos
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Author : Andrew Fowler
language : en
Publisher: Springer Nature
Release Date : 2020-02-06
Chaos written by Andrew Fowler and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-06 with Mathematics categories.
This is a textbook on chaos and nonlinear dynamics, written by applied mathematicians for applied mathematicians. It aims to tread a middle ground between the mathematician's rigour and the physicist’s pragmatism. While the subject matter is now classical and can be found in many other books, what distinguishes this book is its philosophical approach, its breadth, its conciseness, and its exploration of intellectual byways, as well as its liberal and informative use of illustration. Written at the graduate student level, the book occasionally drifts from classical material to explore new avenues of thought, sometimes in the exercises. A key feature of the book is its holistic approach, encompassing the development of the subject since the time of Poincaré, and including detailed material on maps, homoclinic bifurcations, Hamiltonian systems, as well as more eclectic items such as Julia and Mandelbrot sets. Some of the more involved codes to produce the figures are described in the appendix. Based on lectures to upper undergraduates and beginning graduate students, this textbook is ideally suited for courses at this level and each chapter includes a set of exercises of varying levels of difficulty.
Applied Chaos Theory
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Author : Ali Bulent Cambel
language : en
Publisher: Elsevier
Release Date : 1993-01-25
Applied Chaos Theory written by Ali Bulent Cambel and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-25 with Mathematics categories.
This book differs from others on Chaos Theory in that it focuses on its applications for understanding complex phenomena. The emphasis is on the interpretation of the equations rather than on the details of the mathematical derivations. The presentation is interdisciplinary in its approach to real-life problems: it integrates nonlinear dynamics, nonequilibrium thermodynamics, information theory, and fractal geometry. An effort has been made to present the material ina reader-friendly manner, and examples are chosen from real life situations. Recent findings on the diagnostics and control of chaos are presented, and suggestions are made for setting up a simple laboratory. Included is a list of topics for further discussion that may serve not only for personal practice or homework, but also as themes for theses, dissertations, and research proposals. - Includes laboratory experiments Includes applications and case studies related to cell differentiation, EKGs, and immunology - Presents interdisciplinary applications of chaos theory to complex systems - Emphasizes the meaning of mathematical equations rather than their derivations - Features reader friendly presentation with many illustrations and interpretations - Deals with real life, dissipative systemsIntegrates mathematical theory throughout the text
Applied Chaos And Complexity Theory In Education
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Author : Erçetin, Şefika Şule
language : en
Publisher: IGI Global
Release Date : 2016-05-23
Applied Chaos And Complexity Theory In Education written by Erçetin, Şefika Şule and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-23 with Education categories.
As a field of mathematical study, chaos and complexity theory analyzes the state of dynamical systems by evaluating how they interact, evolve, and adapt. Though this theory impacts a variety of disciplines, it also has significant influence on educational systems and settings. Applied Chaos and Complexity Theory in Education examines the application of the theories of chaos and complexity in relation to educational systems and institutions. Featuring emergent research and perspectives on mathematical patterns in educational settings and instructional practices, this book is a comprehensive reference source for researchers, scholars, mathematicians, and graduate students.
Introduction To Applied Nonlinear Dynamical Systems And Chaos
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Author : Stephen Wiggins
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-01
Introduction To Applied Nonlinear Dynamical Systems And Chaos written by Stephen Wiggins and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-01 with Mathematics categories.
This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms. From the reviews: "Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte für Mathematik
Transient Chaos
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Author : Ying-Cheng Lai
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-26
Transient Chaos written by Ying-Cheng Lai and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-26 with Mathematics categories.
The aim of this Book is to give an overview, based on the results of nearly three decades of intensive research, of transient chaos. One belief that motivates us to write this book is that, transient chaos may not have been appreciated even within the nonlinear-science community, let alone other scientific disciplines.
Chaos In Classical And Quantum Mechanics
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Author : Martin C. Gutzwiller
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27
Chaos In Classical And Quantum Mechanics written by Martin C. Gutzwiller and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-27 with Mathematics categories.
Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.
Stability Instability And Chaos
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Author : Paul Glendinning
language : en
Publisher: Cambridge University Press
Release Date : 1994-11-25
Stability Instability And Chaos written by Paul Glendinning and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-11-25 with Mathematics categories.
An introduction to nonlinear differential equations which equips undergraduate students with the know-how to appreciate stability theory and bifurcation.
Chaos Fractals And Noise
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Author : Andrzej Lasota
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-04-01
Chaos Fractals And Noise written by Andrzej Lasota and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-01 with Mathematics categories.
The first edition of this book was originally published in 1985 under the ti tle "Probabilistic Properties of Deterministic Systems. " In the intervening years, interest in so-called "chaotic" systems has continued unabated but with a more thoughtful and sober eye toward applications, as befits a ma turing field. This interest in the serious usage of the concepts and techniques of nonlinear dynamics by applied scientists has probably been spurred more by the availability of inexpensive computers than by any other factor. Thus, computer experiments have been prominent, suggesting the wealth of phe nomena that may be resident in nonlinear systems. In particular, they allow one to observe the interdependence between the deterministic and probabilistic properties of these systems such as the existence of invariant measures and densities, statistical stability and periodicity, the influence of stochastic perturbations, the formation of attractors, and many others. The aim of the book, and especially of this second edition, is to present recent theoretical methods which allow one to study these effects. We have taken the opportunity in this second edition to not only correct the errors of the first edition, but also to add substantially new material in five sections and a new chapter.
Dynamical Systems And Chaos
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Author : Henk Broer
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-20
Dynamical Systems And Chaos written by Henk Broer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-20 with Mathematics categories.
Over the last four decades there has been extensive development in the theory of dynamical systems. This book aims at a wide audience where the first four chapters have been used for an undergraduate course in Dynamical Systems. Material from the last two chapters and from the appendices has been used quite a lot for master and PhD courses. All chapters are concluded by an exercise section. The book is also directed towards researchers, where one of the challenges is to help applied researchers acquire background for a better understanding of the data that computer simulation or experiment may provide them with the development of the theory.
Differential Equations Bifurcations And Chaos In Economics
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Author : Wei-bin Zhang
language : en
Publisher: World Scientific Publishing Company
Release Date : 2005-07-18
Differential Equations Bifurcations And Chaos In Economics written by Wei-bin Zhang and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-18 with Business & Economics categories.
Although the application of differential equations to economics is a vast and vibrant area, the subject has not been systematically studied; it is often treated as a subsidiary part of mathematical economics textbooks. This book aims to fill that void by providing a unique blend of the theory of differential equations and their exciting applications to dynamic economics. Containing not just a comprehensive introduction to the applications of the theory of linear (and linearized) differential equations to economic analysis, the book also studies nonlinear dynamical systems, which have only been widely applied to economic analysis in recent years. It provides comprehensive coverage of the most important concepts and theorems in the theory of differential equations in a way that can be understood by any reader who has a basic knowledge of calculus and linear algebra. In addition to traditional applications of the theory to economic dynamics, the book includes many recent developments in different fields of economics.