Master's programme Mathematics for Natural Sciences 2012W
Objectives
Students master the basic methods in Dynamical Systems, encounter with chaos
Subject
Hamiltonian systems; Bifurcations and Feigenbaum number; Li-York Theorem and Sharkovsky’s ordering; Schwarzian derivative and Singer’s Theorem;
Conformal mappings: Riemann and Caratheodory Theorems; The Böttcher function, Fatou and Julia sets; Ruelle operators
Criteria for evaluation
Exam
Methods
Real and complex analysis, iteration theory
Language
English
Study material
D. Gulick “Encounters with chaos”, L. Carleson and T. Gamelin, “Complex dynamics"
