Advances in Control, Nonlinear Dynamics and Chaos
This course will present the recent advances made in control and nonlinear dynamics. It will expose students to the concept of approximation theory for real systems, including control systems. Topics to be covered include logistics map and its applications in biology, economics, business, music, and engineering, bifurcations, Poincare maps, strange attractors, and characteristic behavior of nonlinear systems, nonlinear differential equations for control systems and explore the dynamics of a controlled, electrostatically actuated systems, Hopf bifurcations, and chaos.