Lectures related to Dynamic Systems: Model Building and Trajectories Representation

Covers difference equations, dynamic systems, linearity, and impulse response in discrete systems.

Explores trajectories in integrable systems and the challenges of making predictions.

Covers the calculation of characteristics in vibratory mechanics using a cylindrical buoy example.

Covers the formalism and bases of dynamic systems, including differential equations and non-linear systems.

Delves into homoclinic orbits, bifurcations, and limit cycles in nonlinear dynamics.

Covers Fourier series, harmonic decomposition, and limit cycle prediction in dynamic systems.

Explores bifurcation, fractals, Julia sets, Mandelbrot set, and self-similarity in complex dynamical systems.

Covers the computation of transfer functions and system poles and zeros.

Discusses projectile motion with friction and systems with inclined planes and pulleys.