This course is designed to introduce students to the basic ideas of dynamical systems, stability, and chaos, largely using iterative mappings as the model. The course will largely focus on qualitative ideas and will require students to explore dynamics through simulations (MATLAB will be adequate).
INTENDED AUDIENCE: Any interested LearnersPREREQUISITES: Basic mathematics
Week 1: Introduction, Stability, Phase space and invariant sets.Week 2: Maps and flows. Simple examples of dynamical systems Week 3: The Tent map and the Logistic map. Symbolic dynamics Week 4 : Chaotic dynamics, Lyapunov exponents, invariant measures