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Investigating how the qualitative behavior of a system changes as its parameters vary. Educational Features
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. Investigating how the qualitative behavior of a system
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
Examining the mathematical structures of chaos and the self-similar geometric patterns (fractals) that often accompany chaotic attractors.