Introduction to dynamical systems

Summary

An introduction to some key concepts and theorems from dynamical systems, including discrete dynamical systems as well as flows.

Content

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Learning Prerequisites

Required courses

Analysis I - IV, Algebre Lineaire I and II.

 

 

Recommended courses

Analysis I - IV, Algebre Lineaire I and II.

Important concepts to start the course

Understand key concepts of real analysis, such as measure and Lebesgue integral. Some familiarity with Fourier series and ordinary differential equations. Be able to construct a rigorous mathematical argument.

Learning Outcomes

By the end of the course, the student must be able to:

• Analyze abstract dynamical systems
• Examine issues concerning the local and global behavior of dynamical systems
• Prove basic results, such as Poincare recurrence.
• Contrast different dynamical behaviors.

Assessment methods

Oral exam

 

Supervision

Office hours	No
Assistants	Yes
Forum	No

Resources

Virtual desktop infrastructure (VDI)

No

Moodle Link

• https://go.epfl.ch/MATH-523