Course Description

Course Name

Nonlinear Dynamics

Session: VCPS3119

Hours & Credits

18 Host University Units

Prerequisites & Language Level

Taught In English

  • There is no language prerequisite for courses at this language level.

Overview

The aim of this course is to introduce a selection of fundamental topics in Applied Mathematics. Topics include: fixed points, bifurcations, phase portraits, conservative and reversible systems. Index theory, Poincaré-Bendixson theorem, Lienard systems, relaxation oscillators. Hopf bifurcations, quasi periodicity and Poincaré maps, applications to oscillating chemical reactions and Josephson junctions. Chaos on a strange attractor, Lorentz map, logistic map, Hénon map, Lyapunov exponents. Fractals.

*Course content subject to change