1- Oscillators harmonic, damped and forced; periodic and chaotic attractors. 2- Point attractors in autonomous systems. 3- Cycles limit in autonomous systems. 4- Periodic attractors in forced oscillators; the Poincaré map. 5- Chaotic attractors in forced oscillators. 6- Stability and bifurcations; Lyapunov stability. 7- Chaotic behavior of uni and two-dimensional maps; the Hénon map. 8- The Lorenz system. 9- Complexity and emergence. 10- Fractals. 11- Applications to physics.
Bibliography of reference
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.