|On Campus, Vollzeit
|2.150 € pro Programm
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: €2090
This course/tuition fee covers the course, course materials and a cultural program.
|60 € einmalig
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.
At least one year of university experience or equivalent work experience
Die Zulassungsunterlagen werden in folgenden Sprachen akzeptiert: Englisch / Deutsch.
Please upload one of the following documents:
Upload copies in a word or pdf format
All applicants are required to upload a document or certificate to demonstrate their proficiency in English language. If you are a non-native English speaker, you must prove you have a score equivalent to the level B2 or above in the European system (the Common European Framework of Reference for Languages, or CEFR), or provide evidence that you’ve undertaken an equivalent degree/studies in English.
More details: www.tu-berlin.de/menue/summer_university/requirements/
If you are a native English speaker, please select this during registration. You will then be exempt from having to upload proof of English level.
Additional prerequisites here:
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 of the 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.
- Learn the fundamentals of nonlinear dynamics, and to identify fixed point, periodic and non-periodic solutions.
- Be able to discuss both qualitatively and quantitatively the nature and solutions of nonlinear dynamical systems.
- Learn how graphical methods can aid in the solution of these systems
The key topics covered in the course are:
1. Importance of nonlinear effects in physical phenomena
2. Classification of fixed points and bifurcations
3. Understanding of bi-stability and triggering
4. Drawing and interpreting phase portraits of low-dimensional dynamical systems
5. Qualitative understanding of the method of averaging
6. Periodic and non-periodic solutions
7. Chaotic systems.
The teaching will combine frontal lectures to introduce new topics and applied lectures in which the theory is applied to problems of practical interest in engineering. The class will also carry out exercises and small programming tasks in groups during the course. In this sense, a “teaching by examples” approach will be followed. A final project will be carried out in groups and presented to the rest of the class.