Notes

Chapter 4: Systems Based on Numbers


Section 7: Iterated Maps and the Chaos Phenomenon

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

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