Es ist eine neuere Version 2022W dieser LV im Curriculum Bachelor's programme Technical Mathematics 2022W vorhanden.
Workload
Education level
Study areas
Responsible person
Hours per week
Coordinating university
3 ECTS
M1 - Master's programme 1. year
Mathematics
Petro Yudytskiy
2 hpw
Johannes Kepler University Linz
Detailed information
Original study plan
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"
