Nonlinear systems

In this research project, which started in the year 2009 in close collaboration with the Max Planck Institute for the Physics of Complex Systems, we study general nonlinear dynamical systems using various numerical methods.

The systems we are interested in are diverse and range from very simple 2 dimensional toy models to problems with thousands of degrees of freedom, as e.g. the nonlinear Schrödinger equation.

Main topics of our work

• Development and application of chaos detection methods (as e.g. Lyapunov exponents, SALI/GALI, frequency mapping and many more)  on the specific systems
• Devlopment of new symplectic integration methods
• Devlopment of highly efficient computational algorithms

Cooperations

• Prof. Charalampos (Haris) Skokos, University of Cape Town
• Prof. Arndt Bäcker, Institute of Theoretical Physics, TU Dresden