2nd Edition
A First Course In Chaotic Dynamical Systems Theory And Experiment
By Robert L. Devaney
Copyright 2020
320 Pages
16 Color Illustrations
by
Chapman & Hall
328 Pages
16 Color Illustrations
by
Chapman & Hall
328 Pages
16 Color Illustrations
by
Chapman & Hall
Also available as eBook on:
A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition The long-anticipated revision of this well-liked textbook offers many new additions. In the twenty-five years since the original version of this book was published, much has happened in dynamical systems. Mandelbrot and Julia sets were barely ten years old when the first edition appeared, and most of... Read more
Preface to the Second Edition, 1. A Visual and Historical Tour, 2. Examples of Dynamical Systems, 3. Orbits, 4. Graphical Analysis, 5. Fixed and Periodic Points, 6. Bifurcations, 7. The Quadratic Family, 8. Transition to Chaos, 9. Symbolic Dynamics, 10. Chaos, 11. Sharkovsky’s Theorem, 12. Role of the Critical Point, 13. Newton’s Method, 14. Fractals, 15. Complex Functions, 16. The Julia Set, 17. The Mandelbrot Set, 18. Other Complex Dynamical Systems, Appendices, Bibliography, Index
Biography
About the Author
Robert L. Devaney is currently professor of mathematics at Boston University. He received his PhD from the University of California at Berkeley under the direction of Stephen Smale. He taught at Northwestern University and Tufts University before coming to Boston University in 1980. His main area of research is dynamical systems, primarily complex analytic dynamics, but also including more general ideas about chaotic dynamical systems. Lately, he has become intrigued with the incredibly rich topological aspects of dynamics, including such things as indecomposable continua, Sierpinski curves, and Cantor bouquets.
