Netherlands, Utrecht

Applied Bifurcation Theory

when 15 July 2019 - 19 July 2019
language English
duration 1 week
credits 1.5 ECTS
fee EUR 200

The dynamics of many physical, chemical, biological, industrial, economic, and social systems is often described by nonlinear iterated maps and differential equations. This summer school aims at presenting the modern theory of bifurcations in two-parameter planar ordinary differential equations, and showing how its methods and results can be generalized to the analysis of iterated maps and ordinary differential equations with delays. The program will include theoretical lectures and computer practicals with the latest software.

The dynamics of many physical, chemical, biological, industrial, economic, and social systems is often described by nonlinear iterated maps and ordinary differential equations (autonomous or with delays). Bifurcations are qualitative changes in the dynamics under variation of control parameters. The analysis of bifurcations requires a combination of theory with efficient numerical techniques. This summer school aims at presenting the modern theory of bifurcations in two-parameter planar ordinary differential equations, and showing how its methods and results can be generalized to the analysis of iterated maps and ordinary differential equations with delays. The target audience is Master students in mathematics, physics, engineering, and economics with good knowledge of ordinary differential equations and functional analysis. The program will include theoretical lectures and computer practicals with the latest software, i.e. MatCont and DDE-BIFTOOL, by experts from Utrecht University, University of Twente, and University of Hasselt.

Course leader

Prof. dr. Yuri A. Kuznetsov

Target group

Master students in mathematics, physics, engineering, and economics with good knowledge of ordinary differential equations and functional analysis.

Course aim

This summer school aims at presenting the modern theory of bifurcations in two-parameter planar ordinary differential equations, and showing how its methods and results can be generalized to the analysis of iterated maps and ordinary differential equations with delays.

Fee info

EUR 200: Course fee
EUR 200: Housing fee

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