Bifurcations and Singularities of Algebraic Differential Equations - Research Information System | University of Kassel

without external funding

Bifurcations and Singularities of Algebraic Differential Equations

Project Details

Project duration: 10/2010–10/2013

Abstract

We study bifurcations and singularities of algebraic systems of ordinary differential equations with particular emphasis on the appearance of oscillations. One goal is the development of algorithmic methods for parametric bifurcation analysis using methods from real algebraic geometry. Another goal is the extension of the results to differential algebraic or implicit equations and the investigation of the interplay of bifurcations and singularities.

Publications

2015	Seiler, W., Errami, H., 2015. Detection of Hopf Bifurcations in Chemical Reaction Networks Using Convex Coordinates. Journal of Computational Physics 291, 279–302. https://doi.org/10.1016/j.jcp.2015.02.050