About this product

Product Identifiers

PublisherSociety for Industrial AND Applied Mathematics

ISBN-101611974631

ISBN-139781611974638

eBay Product ID (ePID)242527524

Product Key Features

Number of Pages420 Pages

LanguageEnglish

Publication NameDifferential Dynamical Systems

SubjectDifferential Equations / General

Publication Year2017

FeaturesNew Edition

TypeTextbook

AuthorJames D. Meiss

Subject AreaMathematics

SeriesMathematical Modeling and Computation Ser.

FormatTrade Paperback

Dimensions

Item Height0.8 in

Item Weight31.2 Oz

Item Length9 in

Item Width6 in

Additional Product Features

Edition Number2

Intended AudienceScholarly & Professional

LCCN2016-052904

Dewey Edition22

IllustratedYes

Dewey Decimal515/.39

Edition DescriptionNew Edition

Table Of ContentList of Figures Preface Acknowledgments Chapter 1: Introduction Chapter 2: Linear Systems Chapter 3: Existence and Uniqueness Chapter 4: Dynamical Systems Chapter 5: Invariant Manifolds Chapter 6: The Phase Plane Chapter 7: Chaotic Dynamics Chapter 8: Bifurcation Theory Chapter 9: Hamiltonian Dynamics Appendix: Mathematical Software Bibliography Index

SynopsisCombines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics., Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics. Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the focus then shifts to foundational material on nonlinear differential equations, making heavy use of the contraction-mapping theorem. Subsequent chapters deal specifically with dynamical systems concepts-flow, stability, invariant manifolds, the phase plane, bifurcation, chaos, and Hamiltonian dynamics. Revisions include simplified and clarified proofs of a number of theorems, an expanded introduction to function spaces, additional exercises, and the correction of typographical errors. Throughout the book, the author includes exercises to help students develop an analytical and geometrical understanding of dynamics. Many of the exercises and examples are based on applications and some involve computation; an appendix offers simple codes written in Maple®, Mathematica®, and MATLAB® software to give students practice with computation applied to dynamical systems problems.

LC Classification NumberQA614.8.M45 2017