Synchronization from Mathematical Point of View Introduction to synchronization Video Basics of dynamical systems (Part 1) Lecture Notes Code Video Basics of dynamical systems (Part 2) & Linear systems (Part 1) Lecture Notes Code Video Linear systems (Part 2) Lecture Notes Code Video Linear systems (Part 3) Lecture Notes Code Video Synchronization in linear systems & Linearization Lecture Notes Code Video Stability of equilibria in nonlinear systems (Lyapunov functions) Lecture Notes Code Video Stability of periodic orbits in nonlinear systems & Introduction to bifurcations Lecture Notes Code Video Chaos theory Lecture Notes Code Video Synchronization in coupled systems Lecture Notes Code Video Synchronization in networks Code Video Reduced dynamics and phase synchronization Code Video Course Materials Lecture Notes