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An Introduction to Chaotic Dynamical Systems

Robert L. Devaney
Publisher: 
Westview Press
Publication Date: 
2003
Number of Pages: 
360
Format: 
Paperback
Edition: 
2
Price: 
40.00
ISBN: 
0813340853
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee strongly recommends this book for acquisition by undergraduate mathematics libraries.

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  1. Part One: One-Dimensional Dynamics
    1. Examples of Dynamical Systems
    2. Preliminaries from Calculus
    3. Elementary Definitions
    4. Hyperbolicity
    5. An example: the quadratic family
    6. An Example: the Quadratic Family
    7. Symbolic Dynamics
    8. Topological Conjugacy
    9. Chaos
    10. Structural Stability
    11. Sarlovskii’s Theorem
    12. The Schwarzian Derivative
    13. Bifurcation Theory
    14. Another View of Period Three
    15. Maps of the Circle
    16. Morse-Smale Diffeomorphisms
    17. Homoclinic Points and Bifurcations
    18. The Period-Doubling Route to Chaos
    19. The Kneeding Theory
    20. Geneaology of Periodic Units
  2. Part Two: Higher Dimensional Dynamics
    1. Preliminaries from Linear Algebra and Advanced Calculus
    2. The Dynamics of Linear Maps: Two and Three Dimensions
    3. The Horseshoe Map
    4. Hyperbolic Toral Automorphisms
    5. Hyperbolicm Toral Automorphisms
    6. Attractors
    7. The Stable and Unstable Manifold Theorem
    8. Global Results and Hyperbolic Sets
    9. The Hopf Bifurcation
    10. The Hénon Map
  3. Part Three: Complex Analytic Dynamics
    1. Preliminaries from Complex Analysis
    2. Quadratic Maps Revisited
    3. Normal Families and Exceptional Points
    4. Periodic Points
    5. The Julia Set
    6. The Geometry of Julia Sets
    7. Neutral Periodic Points
    8. The Mandelbrot Set
    9. An Example: the Exponential Function

Dummy View - NOT TO BE DELETED