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Term 2: Nonlinear Dynamics: Theory and Applications in Engineering

Tuition fee €920 per programme

The program price consists of the course/tuition fee (student or working professional, see details below) plus the registration fee (€60).

Student course/tuition fee: €920
Working professional course/tuition fee: €1400

This course/tuition fee covers the online course, course materials and a digital cultural program.

Registration fee €60 one-time

The registration fee is in addition to the course/tuition fee and covers the processing of your application. It is payable upon registration. Please note that the registration fee is non-refundable.

More information



Nonlinear dynamics governs the evolution of a tremendously large number of phenomena in our world. These phenomena are observed in fluid dynamics, biology, mechanical and acoustic vibrations, finance, and many more areas. The beauty of nonlinear dynamics is that it is universal: even if developed or learned in a specific context, the same theory and tools can be then used to understand the nonlinear effects of a completely different, seemingly unrelated subject.
The course aims to (i) explain the foundations of nonlinear dynamical systems in relation to the solution of nonlinear differential equations describing physical systems of relevance for engineering applications, and to (ii) introduce some graphical, mathematical and numerical methods used to study and model nonlinear phenomena. Geometric intuition will aid in keeping the mathematical formalism to a minimum. Real-world examples borrowed from state-of-the-art research in various fields, with a focus on engineering, will aid in attracting the student’s interest and in demonstrating the usefulness of the thought methods. In this sense, the “teaching by example” approach will be adopted.

Learning goals:

  • Importance of nonlinear effects in physical phenomenon
  • Classification of fixed points and bifurcations
  • Understanding of bi-stability and triggering
  • Drawing and interpreting phase portraits of low-dimensional dynamical systems
  • Qualitative understanding of the method of averaging

Programme structure

Course Structure:

Reading week: July 18th – 22nd, 2022. Flexible, 20 hours preparatory work to be done on-demand.

Online course: July 25th – August 12th, 2022. Estimated session times are Mondays through Fridays from 9 am to 2 pm CET for live lectures and group sessions.

Please note that exact session times will be confirmed once registrations have closed (sessions will be scheduled according to the time zones of the registered course participants).

Should you have any questions regarding the course timetable, please contact us at summeruniversity@tubs.de

Please note this is a full-time, intensive course and participants will be expected to attend lectures and/or complete independent study Monday through Friday. Additional study may also be required on weekends.

Apply now! Summer Term 2 Online 2022
Application period has ended
Studies commence
Jul 18, 2022

Application deadlines apply to citizens of: United States

Apply now! Summer Term 2 Online 2022
Application period has ended
Studies commence
Jul 18, 2022

Application deadlines apply to citizens of: United States