Matrix
Editions
serious mathematics,
written with the reader in mind
No publication date has been set. Here is a tentative table of contents
1.1 Celestial mechanics
1.2 Poincaré and sensitive dependence
1.3 The restricted 3-body problem
1.4 The first return map
1.5 Ueda, Lorenz, and Hénon
1.6 Further reading
2.1 Two maps of the interval
2.2 Angle doubling
2.3 Sensitive dependence
2.4 Symbolic dynamics
2.5 The solenoid
2.6 Problems for the reader
3.1 Bernoulli and Borel: the law of large numbers
3.2 Natural measures and ergodic measures
3.3 Problems for the reader
4.1 Periodicity and limiting behavior
4.2 Recurrence and wandering
4.3 Transitivity and minimality
4.4 Chaos: sensitive dependence, mixing
4.5 Forward expansive maps
4.6 Problems for the reader
5.1 Trapped attracting sets
5.2 Attractors
5.3 Chain-attractors
5.4 Repelling sets and repellors
5.5 Problems for the reader