Chapter 4: Systems Based on Numbers

Section 7: Iterated Maps and the Chaos Phenomenon

History of iterated maps History of chaos theory Exact iterates [in iterated maps] Problems with computer experiments [in chaos theory] Mathematical perspectives [on iterated map complexity] Information content of initial conditions Smooth iterated maps Higher-dimensional generalizations [of iterated maps] Distribution of chaotic behavior Lyapunov exponents Chaos in nature [Iterated maps from] bitwise operations

From Stephen Wolfram: A New Kind of Science [citation]