Status Updates From Chaos Theory Tamed

Lyapunov exponents measure divergence or convergence of various trajectories, good for chaotic systems and strange attractors.

Finding patterns in Chaos and pseudorandomness

Strange Attractors and islands of order in chaos.

Routes to Chaos in Dynamical systems and period doubling.

Non-chaotic attractors in phase space.

Time series data and our old friend the Logistic Equation.

autocorrelation functions and Fourier Analysis

provides math tools that you can use to get started. This book is much more geared for someone at my level

This book is much more down-to-earth and more hands-on.

reading scatter plots and orbits around chaotic attractors. Graphics are quite helpful in this area. We devote huge amounts of cortical material in the back of heads on visual discernment probably more so than language processing and way more than logic and recursion abilities of equations. A technical way of saying a picture says a thousand words.

the tools to investigate Chaos and Fractals at the beginning of the book are heavy-duty math tools. I mean he is relatively gentle on the reader but this stuff is not easy. The rest of the book on the actual science of chaos is much lighter even breezy.