Main importance: A- Ability to solve problems; B- General culture in Physics; C- Mathematical skills to solve problems;
Secondary: D- Ability to search and use bibliography; E- Theoretical understanding of physical phenomena; F- Depth general knowledge in Physics.
Generic skills: Competence in oral and written communication; Computer skills pertaining to the scope of the study; Competence to solve problems; Competence in critical thinking; Competence in independent learning; Adaptability to new situations; creativity; Initiative and entrepreneurial spirit; Quality concerns; Competence to apply in practice the theoretical knowledge.
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.
Classical Mechanics I
Generic skills to reach
. Computer Skills for the scope of the study; . Competence to solve problems; . Competence in autonomous learning; . Adaptability to new situations; . Competence in applying theoretical knowledge in practice; . Competence in oral and written communication; . Critical thinking; . Creativity; . Initiative and entrepreneurial spirit; . Quality concerns; (by decreasing order of importance)
Teaching hours per semester
total of teaching hours
Sseminar or study visit
Synthesis work thesis
assessment implementation in 20192020 Assessment Problems solving and mini-tests : 100.0%
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.
1- Lectures with exposure of concepts and fundamental theories, and discussion of practical applications of these concepts.
2- Problem solving classes with typical examples of the subjects under study.