Hours for week: 3 - Weeks: 12
Hours of lectures: 36 - Hours of laboratory: 0 - Hours of others activities: 0

Course description:
- Dynamical linear systems. Examples of linear dynamical systems and non linear dynamical systems. Equilibria.
- Non linear differential equations. Well-posedness: existence and uniqueness of solution.
- Qualitative analysis of second order non linear systems: phase portrait.
- Stability of equilibrium points in non linear systems. Lyapunov based analysis.
- Structural stability and bifurcations.
- Analysis of limit cycles: methods for stability analysis of limit cycles.
- Frequency approach for stability analysis: circle criterion.
- Quasi-periodic solutions and overview of chaos theory.

Course aims:
To provide basic concepts of non linear systems analysis focusing to applications of control applied to non linear plants.

Teaching method:
Lectures and numerical simulations in computer laboratory.

Prerequisities:
Nothing

Teaching aids:

Bibliography:
S. Strogatz, "Nonlinear dynamics and chaos", Westview Press
H. Khalil, "Nonlinear Systems", Prentice-Hall, 3rd edition