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.