Lectures in course COM-502: Dynamical system theory for engineers

Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.

Explores chaos, irregular trajectories, and sensitivity to initial conditions in dynamical systems.

Explores elements from Ergodic Theory, transformations, invariant sets, and Lyapunov Exponents for 1-dimensional maps.

Introduces dynamical system theory for engineers, covering trajectories, orbits, and solutions.

Introduces dynamical system theory for engineers, covering system behavior, stability, and mathematical applications.

Covers linear systems in continuous time, stability analysis, and mass-spring system examples.

Explores stability and solutions of linear systems in continuous and discrete time.

Covers trajectory, solution, and orbit of dynamical systems for engineers.

Covers phase portraits, eigenvalue decomposition, Jordan decomposition, and stable nodes in non-linear systems.

Introduces dynamical system theory for engineers, covering system behavior, stability, and invariant sets.

Explores the stability of periodic solutions in continuous-time systems using the logistic map and the van der Pol oscillator.

Explores how Physarum Polycephalum can compute shortest paths in a directed graph model.

Covers small scale stability conditions and asymptotic behavior around fixed points.

Covers large scale stability analysis and properties of dynamical systems solutions.

Discusses stability analysis of equilibrium points in dynamical systems.

Covers the concept of large scale stability in dynamical systems.

Covers small scale stability around equilibrium points and introduces the Van der Pol oscillator.

Explores large scale stability in dynamical systems and interconnected behavior.

Covers large scale stability with a focus on bounded solutions and their implications.

Covers small scale stability in gradient systems, focusing on trajectory properties and equilibrium point attraction.