Patrick Tchepmo Djomegni
Summary: Most real-world problems and fundamental laws of physics are expressed in the form of differential (nonlinear) or differential DE equations. Despite efforts to develop methods for solving EDs, most nonlinear EDs are impossible to solve explicitly. In this course we will analyse dynamic systems. We will focus primarily on qualitative rather than quantitative questions. The analysis of the stability of the systems and their sensitivity to small disturbances are studied. At the end of the module, students will be able to: determine and study stability at equilibrium points, investigate the type of bifurcations (local and global) occurring in a system, study the global stability of equilibria, investigate chaotic behaviours.