Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering / Edition 1

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Overview


This 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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Editorial Reviews

SIAM Review
Exceptionally well written. Time after time, Strogatz fives explanations of concepts that are among the most lucid I have ever read...One of the best introductions to nonlinear dynamics currently available.
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Product Details

  • ISBN-13: 9780738204536
  • Publisher: Westview Press
  • Publication date: 1/28/2001
  • Series: Studies in Nonlinearity
  • Edition description: REV
  • Edition number: 1
  • Pages: 512
  • Sales rank: 595,274
  • Product dimensions: 6.03 (w) x 9.22 (h) x 1.04 (d)

Meet the Author


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 . 
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Table of Contents

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
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