Complex and Dynamical Systems
3
2019-2020
01002852
Physics
Portuguese
Face-to-face
SEMESTRIAL
6.0
Elective
1st Cycle Studies
Recommended Prerequisites
Classical Mechanics I.
Teaching Methods
Lectures with exposure of concepts and fundamental theories, and discussion of practical applications of these concepts.
Problem solving classes with typical examples of the subjects under study.
Learning Outcomes
Main importance: Ability to solve problems; General culture in Physics; Mathematical skills to solve problems;
Secondary: Ability to search and use bibliography; Theoretical understanding of physical phenomena; 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.
Work Placement(s)
NoSyllabus
Oscillators harmonic, damped and forced; periodic and chaotic attractors. Point attractors in autonomous systems. Cycles limit in autonomous systems. Periodic attractors in forced oscillators; the Poincaré map. Chaotic attractors in forced oscillators. Stability and bifurcations; Lyapunov stability. Chaotic behavior of uni and two-dimensional maps; the Hénon map. The Lorenz system. Complexity and emergence. Fractals. Applications to physics.
Head Lecturer(s)
Fernando Davide de Sousa Caldeira Sampaio dos Aidos
Assessment Methods
Final evaluation
Exam: 100.0%
Continuous evaluation
Resolution Problems: 100.0%
Bibliography
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.