In this article, we proposed and analyzed a numerical scheme for singularly perturbed
differential equations with both spatial and temporal delays. The presence of the …

We prove the existence of m-armed spiral wave solutions for the complex Ginzburg--Landau
equation in the circular and spherical geometries. We establish a new global bifurcation …

Abstract The complex Ginzburg–Landau equation serves as a paradigm of pattern formation
and the existence and stability properties of Ginzburg–Landau m-armed spiral waves have …

The aim of this paper is to investigate the use of Pyragas control on the stability of stationary,
localized coherent structures in a general class of two-component, singularly perturbed …

We give an introduction to the control triple method, a new type of noninvasive spatio-
temporal feedback control. The notion of a control triple defines how we transform the output …

In this thesis we establish a functional approach to prove the existence of Ginzburg-Landau
spiral waves. Based on systematic considerations, we justify the popular m-armed spiral …

Going back to Henri Poincaré, the main concern of the theory of dynamical systems for
differential equations is the qualitative characterization of solutions. Symmetries, described …

In this thesis we prove the existence of m-armed spiral wave solutions for the complex
Ginzburg-Landau equation in the circular and spherical geometries. Instead of applying the …

The paper presents a robust collocation B-spline numerical scheme for solving singularly
perturbed time lag parabolic differential–difference problems. The method uses Taylor's …