Robert L. Devaney

A First Course In Chaotic Dynamical Systems (eBook, PDF)

Theory And Experiment

• Format: PDF

Produktbeschreibung

The first text to introduce modern topics in dynamical systems at the undergraduate level, the book integrates both theory and computer experiments into its coverage of contemporary ideas in dynamics. Now a classic, this new edition incorporates many new updates. The author also includes an emphasis on student research and experiment.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 328
• Erscheinungstermin: 21. April 2020
• Englisch
• ISBN-13: 9781000065657
• Artikelnr.: 59296703

Autorenporträt

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.

Inhaltsangabe

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