[ TMAPAVODYNA ] VL Dynamical systems and chaos

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"
Changing subject? No
On-site course
Maximum number of participants -
Assignment procedure Direct assignment