Dynamical systems 782

Module code WTW 782
Qualification Postgraduate
Faculty Faculty of Natural and Agricultural Sciences
Module content

Introduction to the general theory of dynamical systems and to the theory of dynamical systems represented via systems of ODEs. Quantitative and qualitative analyses of linear systems. Qualitative analysis of nonlinear systems: domain, invariant sets, stability of equilibria, Hartman-Grobman theorem, centre manifold theorem, Lyapunov method. Structural stability and bifurcation. Bifurcation of equilibria. Hopf bifurcation. Applications: population models, chemical reactions, circuits.

Module credits 15.00
Prerequisites No prerequisites.
Contact time 2 lectures per week
Language of tuition Module is presented in English
Department Mathematics and Applied Mathematics
Period of presentation Semester 1

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