An Introduction To Chaotic Dynamical Systems (Paperback, 3 ed)

I One Dimensional Dynamics

1.A Visual and Historical Tour
2.Examples of Dynamical Systems
3.Elementary Definitions
4.Hyperbolicity
5.An Example: The Logistic Family
6.Symbolic Dynamics
7.Topological Conjugacy
8.Chaos
9.Structural Stability
10.Sharkovsky's Theorem
11.The Schwarzian Derivative
12.Bifurcations
13.Another View of Period Three
14.Period-Doubling Route to Chaos
15.Homoclinic Points and Bifurcations
16.Maps of the Circle
17.Morse-Smale Diffeomorphisms

II Complex Dynamics

18.Quadratic Maps Revisited
19.Normal Families and Exceptional Points
20.Periodic Points
21.Properties of the Julia Set
22.The Geometry of the Julia Sets
23.Neutral Periodic  Points
24.The Mandelbrot Set
25.Rational Maps
26.The Exponential Family

III Higher Dimensional Dynamics

27.Dynamics of Linear Maps
28.The Smale Horseshoe Map
29.Hyperbolic Toral Automorphisms
30.Attractors
31.The Stable and Unstable Manifold Theorem
32.Global Results and Hyperbolic Maps
33.The Hopf Bifurcation
34.The Herron Map

Appendix: Mathematical Preliminaries