Disciplines

Applied Bifurcation Theory

Organizing institution
Utrecht University - Faculty of Science
Course code
H06
Course fee (excl. housing)
€ 200.00
Level
Master
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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. 

Download the day-to-day programme (PDF)

Course director

Prof. dr. Yuri A. Kuznetsov

Lecturers

Yuri A. Kuznetsov  (Utrecht University and University of Twente),  Sjoerd Verduyn Lunel (Utrecht University),  H.G.E. Meijer (University of Twente), and M. Bosschaert (University of Hasselt).

Target audience

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.

Study load

Lectures and computer sessions in the morning and afternoon. The participants are required to complete small final projects.

Costs

Course fee
€ 200.00
Housing fee
€ 200.00

Housing through Utrecht Summer School

Scholarships

A limited number of scholarships in the form of fee waivers (max. €125 per student) is available. There are no travel
grants, grants for housing costs or for course material available.

You can apply for the scholarship together with your application for the summer school. If you would like to apply for the scholarship, please mention this in your motivation letter. Describe how your participation will assist you in future studies and your career. The applications for scholarships will undergo a selection procedure. UU students or students accepted for the UU MSc Programme Mathematical Sciences are exempted from paying the full Summer School course fee, they pay €75 for the course materials.

Application

For this course you are required to upload the following documents when applying:

  • Motivation Letter
  • C.V.
  • Transcript of Grades

More information

Yuri A. Kuznetsov Mathematical Institute T: +31 30 253 1528 E: I.A.Kouznetsov@uu.nl

Wilfred de Graaf Mathematical Institute T: +31 30 20 253 1461 E: W.F.deGraaf@uu.nl

Registration

Application deadline: 24 May 2019