Einführung in die nichtlineare Dynamik und Chaostheorie

What it is about

You receive an illustrative introduction to nonlinear dynamical systems and chaos theory. You will learn to derive ordinary differential equations for classical systems, identify equilibrium points and qualitatively assess their stability. In the end you will be able to analyze phase portraits, limit cycles and simple chaotic systems geometrically and without formal proofs.

What you will be able to do

• Derive differential equations for classical dynamical systems
• Identify equilibrium points
• Assess the stability of equilibria
• Qualitatively analyze solutions using geometric methods (e.g., phase portraits)
• Understand basic concepts of bifurcations and chaos

What the module consists of

• VorlesungConveying concepts through examples, theory and visual representations

Teaching method

• Fallbeispiele mit PowerPoint und Videosshow practical relevance from various application fields
• Mathematische und graphische Herleitungen auf Folien/Tafelpromote geometric understanding of nonlinear systems
• Auszug aus Lehrbuch (Strogatz) und Online-Simulatorensupport self-study and visualization