COM-502: Dynamical system theory for engineers

Lectures in this course (35)

Explores large scale stability in dynamical systems, emphasizing non-increasing trajectories and strict decrease of a specific function.

Explores stability properties and fixed points in discrete time solutions.

Explores the absence and existence of periodic solutions in planar systems.

Explores flip and Andronov-Hopf bifurcations, showing how systems change equilibrium points and stability.

Explores small scale stability, analyzing solutions' stability conditions locally and globally.

Covers the introduction to bifurcations in dynamical systems, including examples and theorems.

Covers small scale stability at equilibrium points in dynamical systems for engineers.

Covers the topic of bifurcations in dynamical system theory, focusing on the pitchfork bifurcation.

Covers the concept of fold bifurcation in dynamical systems, focusing on the saddle-mode behavior.

Explores transcritical bifurcations and the dynamics near critical points.

Explores transcritical bifurcation in SIS epidemics, analyzing mathematical equations and system dynamics.

Explores small scale stability in gradient systems, analyzing trajectories and attractors in phase space.

Covers the stability of discrete time periodic solutions and their properties.

Explores the theory and applications of transcritical bifurcation, focusing on stability analysis and critical points.

Explores transcritical bifurcation in dynamical systems, with a focus on SIS epidemics and their mathematical analysis.

Page 2 of 2