Course Overview

This discipline complement the study of evolution of dissipative dynamical systems presented during the graduation in Mechanics and other disciplines. The presented concepts and procedures are applied to non linear systems in classical physics and interdisciplinar science.

Learning Achievement

Study the main chaotic dissipative systems in classical physics and their applications in interdisciplinary areas, applying the theory of chaos to characterize them. Reproduce numerical examples of the main results described in text books.

Competence

Course prerequisites

Graduation

Grading Philosophy

Final grade determined by the average between grades from three numerical exercise lists and a seminar

Course schedule

Chaotic trajectories in dynamical systems described by maps. Chaotic trajectories in dynamical systems described by differential equations. Fractals. Periodic, quase-periodic, and chaotic attractors. Linear stability. Routes to chaos: crisis, bifurcations, intermitency. Control of chaos.

Course type

Online Course Requirement

Instructor

Ibere Luiz Caldas

Other information

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