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Discrete Lorenz attractor (Prof. Dr. Jens Rademacher) The discrete Lorenz attractor (DLA) is a recently discovered chaotic object (see image below). Its form is similar to that of the classical (continuous) [...] be investigated analytically as well as numerically. This project takes place in collaboration with Dr. I. Ovsyannikov from the University of Hamburg. Basic knowledge of calculus as well as linear algebra
Section: FB3
Optimal choice of discretization points (Prof. Dr. Anke Pohl) With complex Fourier series one can create many two-dimensional "one-line drawings". The selection of the collocation points for the approximating
Twisted eigenfunctions of the Laplace operator (Prof. Dr. Anke Pohl) Periodic eigenfunctions of the Laplacian on the real numbers correspond to the eigenfunctions of the Laplacian of the 1-sphere. The
Dependence of income on sociodemographic characteristics (Prof. Dr. Thorsten Dickhaus) Based on a "campus file" dataset of the research data centers of the federal and state statistical offices, the influence
Wave patterns in cellular automata for excitable media (Prof. Dr. Jens Rademacher) Nerve impulses, muscle contractions and various other natural processes can be modeled as an excitable medium in which
Controlling Branch Switching in Numerical Continuation with PDE2PATH (Prof. Dr. Jens Rademacher) The goal of this project is to further develop and implement algorithms that avoid unwanted branch changes
Dynamical Systems with Substitutions 1 (Prof. Dr. Anke Pohl) In many situations, dynamical systems occur naturally, which can be described by substitutions. Such dynamical systems consist of a set of infinite
Arnold's cat map (Prof. Dr. Anke Pohl) Arnold's cat mapping is the self-mapping of the 2-torus given by . If one draws the image of a cat on the 2-torus, discretizes it and applies the mapping F iterated
Dynamical Systems with Substitutions 2 (Prof. Dr. Anke Pohl) In many situations, dynamical systems occur naturally, which can be described by substitutions. Such dynamical systems consist of a set of infinite
Drawing with Fourier series (Prof. Dr. Anke Pohl) With complex Fourier series one can create many two-dimensional "one-line drawings". The aim of this project is to do this for a concrete, interesting