7 citations · 13 across the 13 of their papers we have counts for
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On General Extension Fields for the Classical Groups in Differential Galois Theory
Matthias Seiss
Let be one of the classical groups of Lie rank . We make a similar construction of a general extension field in differential Galois theory for as E. Noether did in class…
On the Numerical Analysis and Visualisation of Implicit Ordinary Differential Equations
Elishan Braun, Werner M. Seiler, Matthias Seiss
We discuss how the geometric theory of differential equations can be used for the numerical integration and visualisation of implicit ordinary differential equations, in particular…
A Logic Based Approach to Finding Real Singularities of Implicit Ordinary Differential Equations
Werner M. Seiler, Matthias Seiss, Thomas Sturm
We discuss the effective computation of geometric singularities of implicit ordinary differential equations over the real numbers using methods from logic. Via the Vessiot theory o…
Singularities of Algebraic Differential Equations
Markus Lange-Hegermann, Daniel Robertz, Werner M. Seiler +1
There exists a well established differential topological theory of singularities of ordinary differential equations. It has mainly studied scalar equations of low order. We propose…
No Chaos in Dixon's System
Werner M. Seiler, Matthias Seiss
The so-called Dixon system is often cited as an example of a two-dimensional (continuous) dynamical system that exhibits chaotic behaviour, if its two parameters take their value i…
Singular Initial Value Problems for Scalar Quasi-Linear Ordinary Differential Equations
Werner M. Seiler, Matthias Seiss
We discuss existence, non-uniqueness and regularity of one- and two-sided solutions of initial value problems for scalar quasi-linear ordinary differential equations where the init…