1. Overview
PART I. ONE-DIMENSIONAL FLOWS
2. Flows on the Line
3. Bifurcations
4. Flows on the Circle
PART II. TWO-DIMENSIONAL FLOWS
5. Linear Systems
6. Phase Plane
7. Limit Cycles
8. Bifurcations Revisited
PART III. CHAOS
9. Lorenz Equations
10. One-Dimensional Maps
11. Fractals
12. Strange Attractors
Steven Strogatz is the Schurman Professor of Applied Mathematics at Cornell University. His honours include MIT's highest teaching prize, a lifetime achievement award for the communication of mathematics to the general public, and membership in the American Academy of Arts and Sciences. 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.
"The new edition has a friendly yet clear technical style . . . One
of the book's biggest strengths is that it explains core concepts
through practical examples drawn from various fields and from
real-world systems . . . the author's excellent use of geometric
and graphical techniques greatly clarifies what can be amazingly
complex behavior." Physics Today
"Nonlinear Dynamics and Chaos is an excellent book that effectively
demonstrates the power and beauty of the theory of dynamical
systems. Its readers will want to learn more." Mathematical
Association of America
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