An Introduction To Dynamical Systems: Chaos:

Examining the mathematical structures of chaos and the self-similar geometric patterns (fractals) that often accompany chaotic attractors.

Studying continuous systems where small changes in initial conditions lead to vastly different outcomes, often called the "butterfly effect". CHAOS: An Introduction to Dynamical Systems

Analysis of systems where time is treated in separate steps, such as the logistic map. Examining the mathematical structures of chaos and the

To fully engage with the material, readers should have a background in: Standard calculus. Elementary differential equations. Linear algebra. CHAOS: An Introduction to Dynamical Systems

Exercises designed to be used with standard software packages to explore dynamics through simulation.