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Titlebook: Dynamical Systems with Applications using Maple™; Stephen Lynch Textbook 2010Latest edition Birkhäuser Boston 2010 Chaos.MATLAB.Maple.comp

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书目名称Dynamical Systems with Applications using Maple™
编辑Stephen Lynch
视频video
概述New edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions.Two new chapters on neural networks and simulation have also been added.W
图书封面Titlebook: Dynamical Systems with Applications using Maple™;  Stephen Lynch Textbook 2010Latest edition Birkhäuser Boston 2010 Chaos.MATLAB.Maple.comp
描述Since the ?rst edition of this book was published in 2001, the algebraic computa- ™ tion package Maple has evolved from Maple V into Maple 13. Accordingly, the second edition has been thoroughly updated and new material has been added. In this edition, there are many more applications, examples, and exercises, all with solutions, and new chapters on neural networks and simulation have been added. Therearealsonewsectionsonperturbationmethods,normalforms,Gröbnerbases, and chaos synchronization. This book provides an introduction to the theory of dynamical systems with the aid of the Maple algebraic manipulation package. It is written for both senior undergraduates and graduate students. The ?rst part of the book deals with c- tinuous systems using ordinary differential equations (Chapters 1–10 ), the second part is devoted to the study of discrete dynamical systems (Chapters 11–15), and Chapters 16–18 deal with both continuous and discrete systems. Chapter 19 lists examination-type questions used by the author over many years, one set to be used in a computer laboratory with access to Maple, and the other set to be used without access to Maple. Chapter 20 lists answers to all of the
出版日期Textbook 2010Latest edition
关键词Chaos; MATLAB; Maple; computer algebra; electromagnetic wave; linear optimization; simulation; ordinary dif
版次2
doihttps://doi.org/10.1007/978-0-8176-4605-9
isbn_softcover978-0-8176-4389-8
isbn_ebook978-0-8176-4605-9
copyrightBirkhäuser Boston 2010
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978-0-8176-4389-8Birkhäuser Boston 2010
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A Tutorial Introduction to Maple,• To provide a concise source of reference for experienced users..On completion of this chapter, the reader should be able to.• use Maple as a tool;.• produce simple Maple worksheets;.• access some Maple commands and worksheets over the World Wide Web.
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Differential Equations,d uniqueness theorem..On completion of this chapter, the reader should be able to.• solve certain first- and second-order differential equations;.• apply the theory to chemical kinetics and electric circuits;.• interpret the solutions in physical terms;.• understand the existence and uniqueness theorem and its implications.
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Planar Systems,n completion of this chapter, the reader should be able to.• find and classify critical points in the plane;.• carry out simple linear transformations;.• construct phase plane diagrams using isoclines, vector fields, and eigenvectors;.• apply the theory to simple modeling problems.
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Limit Cycles,ce perturbation methods..On completion of this chapter, the reader should be able to.• prove existence and uniqueness of a limit cycle;.• prove that certain systems have no limit cycles;.• interpret limit cycle behavior in physical terms;.• find approximate solutions for perturbed systems.
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