Applied Nonlinear Dynamics (etit-614)
Angewandte nichtlineare Dynamik / Applied Nonlinear Dynamics
V-UE; 3 SWS; ECTS-Points: 4
Lecturer: Dr. Alexander Schaum
- Linear and nonlinear dynamical systems
- Qualitative behavior of vector fields
- Local and non-local bifurcations
- Introduction to discrete-time nonlinear systems
- Aspects of nonlinear dynamics in control systems design
- ss17_part1.pdf (updated on April 28, 2017)
The exercises will take place with one week displacement, i.e. the exercise on the material of week i is discussed in week i+1.
The complete lecture notes from summer term 2015 can be downloaded here: LN_SS15.pdf
Some of the exercises will require numerical analysis using the computer-algebra systems Maxima and Octave or MatLab.
Note that you will need to install the odepkg and when needed load it using: pkg load odepkg
 S. Strogatz: Nonlinear Dynamics and Chaos: with applications to physics, biology, chemistry, and engineering, Perseus Books
 L. Perko: Differential Equations and Dynamical Systems, Springer
 J. Hale, H. Kocak: Dynamics and Bifurcations, Springer
 S. Lynch: Dynamical Systems with Applications using Mathematica, Birkhäuser
 R. Abraham: C. Shaw: Dynamics: The Geometry of Behavior, Addison-Wesley
 S. Wiggins: Introduction to Applied Nonlinear Systems and Chaos, Springer
 S. Sastry: Nonlinear Systems: Analysis, Stability, and Control, Springer.