Introduction to nonlinear dynamics and chaos. Strange attractors; Discrete and continuous chaotic systems; Bifurcation theory and universality; Sensitivity on initial conditions; Stability analysis of nonlinear systems; Lyapunov exponents; Poincaré maps; Fractal dimensions; Phase space reconstruction; Control and synchronization.

CILO-1: An ability to apply knowledge of mathematics, science, and engineering appropriate to the degree discipline. CILO-2: An ability to design a system, component, or process to meet desired needs within realistic constraints, such as economic, environmental, social, political, ethical, health and safety, manufacturability and sustainability. CILO-3: An ability to stay abreast of contemporary issues. CILO-4: An ability to use the computer/IT tools relevant to the discipline along with an understanding of their processes and limitations.