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    Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering (Studies in Nonlinearity) (Paperback) By (author) Steven H. Strogatz

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    DescriptionThis 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.A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with the mathematical theory.Richly illustrated, and with many exercises and worked examples, this book is ideal for an introductory course at the junior/senior or first-year graduate level. It is also ideal for the scientist who has not had formal instruction in nonlinear dynamics, but who now desires to begin informal study. The prerequisites are multivariable calculus and introductory physics.


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    Title
    Nonlinear Dynamics and Chaos
    Subtitle
    With Applications to Physics, Biology, Chemistry and Engineering
    Authors and contributors
    By (author) Steven H. Strogatz
    Physical properties
    Format: Paperback
    Number of pages: 512
    Width: 152 mm
    Height: 234 mm
    Thickness: 28 mm
    Weight: 726 g
    Language
    English
    ISBN
    ISBN 13: 9780738204536
    ISBN 10: 0738204536
    Classifications

    Warengruppen-Systematik des deutschen Buchhandels: 27220
    Nielsen BookScan Product Class 3: S7.8
    B&T Book Type: NF
    BIC E4L: TEC
    B&T Modifier: Region of Publication: 01
    BIC subject category V2: PDE
    BISAC V2.8: SCI075000
    Ingram Subject Code: SE
    B&T General Subject: 710
    B&T Modifier: Academic Level: 02
    LC subject heading:
    B&T Modifier: Text Format: 06
    B&T Merchandise Category: STX
    BIC subject category V2: TBJ
    BISAC V2.8: TEC009000
    LC subject heading:
    BISAC V2.8: SCI008000
    BIC subject category V2: PBWS
    BISAC V2.8: SCI055000
    Abridged Dewey: 530
    LC classification: QC
    BISAC V2.8: MAT000000, SCI013000
    LC subject heading:
    DC22: 501.185
    DC21: 501.185
    Thema V1.0: PDR, PB, PBWS, TBC, TBJ, PDE
    Publisher
    The Perseus Books Group
    Imprint name
    PERSEUS BOOKS
    Publication date
    19 January 2001
    Publication City/Country
    Reading, MA
    Author Information
    Steven H. Strogatz is professor of applied mathematics at Cornell University. He received his Ph.D. from Harvard University in 1986. Professor Strogatz has been honored with several awards including MIT's highest teaching prize, the E.M. Baker Award for Excellence in Undergraduate Teaching, as well as a Presidential Young Investigator Award from the National Science Foundation. His research on a wide variety of nonlinear systems--from synchronized fireflies to small-world networks--has been featured in the pages of Scientific American, Nature, Discover, Business Week, and The New York Times .
    Table of contents
    * Overview One-Dimensional Flows * Flows on the Line * Bifurcations * Flows on the Circle * Flows on the Circle Two-Dimensional Flows * Linear Systems * Phase Plane * Limit Cycles * Bifurcations Revisited CHAOS * Lorenz Equations * One-Dimensional Maps * Fractals * Strange Attractors