Nonlinear Dynamics and Chaos

Produktbeschreibung

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. 

Inhaltsverzeichnis

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 

Kritik

"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 

Autoreninfo

Steven Strogatz is the Schurman Professor of Applied Mathematics at Cornell University. His honors 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.