Preface to the first edition
Preface to the second edition
1 Introduction and overview
1.1 Some history.
1.2 Examples of chaotic behavior
1.3 Dynamical systems
1.4 Attractors
1.5 Sensitive dependence on initial conditions
1.6 Delay coordinates
Problems
Notes
2 One-dimensional maps
2.1 Piecewise linear one-dimensional maps
2.2 The logistic map
2.3 General discussion of smooth one-dimensional maps
2.4 Examples of applications of one-dimensional maps to chaotic systems of higher dimensionaiity
Appendix: Some elementary definitions and theorems concerning sets
Problems
Notes
3 Strange attractors and fractal dimension
3.1 The box-counting dimension
3.2 The generalized bakers map
3.3 Measure and the spectrum of Dq dimensions
3.4 Dimension spectrum for the generalized bakers map
3.5 Character of the natural measure for the generalized bakers map
3.6 The pointwise dimension
……
4 Dynamical properties of chaoticsystems
5 Nonattraeting chaotic sets
6 Quasiperiodicity
7 Chaos in Hamiltonlan systems
8 Chaotic transitions
9 Multifractals
10 Control and synchronization of chaos
11 Quantumchaos
References
Index