Cushioned and forced Harmonic Oscillators; periodic and chaotic attractors.

Isolated attractors in autonomous systems.

Limit cycles in autonomous systems.

Periodic attractors in forced oscillators; the Poincaré map.

Chaotic attractors in forced oscillators.

Stability and bifurcations; Lyapunov stability.

Chaotic behaviour of uni- and bidimensional maps; the Hénon map.

The Lorenz system.

Complexity and emergency. Fractals.

Applications to Physics.

Steven H. Strogatz, (1994) Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, and Engineering, Perseus Book.

JOSÉ, J. V. and SALETAN, E. J. (1998). Classical Dynamics: a contemporary approach. Cambridge: Cambridge University Press.

THOMPSON, J. M. T.; and STEWART, H. B. (2002).  Nonlinear Dynamics and Chaos, Chichester: John Wiley & Sons.