MAI0076
Dynamical Systems/
Dynamiska system
Number of credits: 8 hp
Examiner: Hans Lundmark
Course literature: Eduard Zehnder, Lectures on Dynamical Systems, European Mathematical Society, 2010. ISBN 978-3-03719-081-4.
Course contents: Discrete and continuous dynamical systems. Structural stability. Ergodicity. Local structure near fixed points (Hartman-Grobman theorem, invariant manifolds, etc.). Some global aspects (phase portrait, bifurcations, homoclinic tangle, etc.). Hamiltonian systems.
Organisation: Lectures
Examination: Homework assignments. Literature project.
Prerequisites: Basic facts from real analysis, differential geometry, differential equations and functional analysis.
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Last updated: 2022-11-15