61 citations · 170 across the 7 of their papers we have counts for
9 papers
Controlling pulse stability in singularly perturbed reaction-diffusion systems
Frits Veerman, Isabelle Schneider
The aim of this paper is to investigate the use of Pyragas control on the stability of stationary, localised coherent structures in a general class of two-component, singularly per…
Symmetry Groupoids for Pattern-Selective Feedback Stabilization of the Chafee--Infante Equation
Isabelle Schneider, Jia-Yuan Dai
Reaction-diffusion equations are ubiquitous in various scientific domains and their patterns represent a fascinating area of investigation. However, many of these patterns are unst…
Pattern-Selective Feedback Stabilization of Ginzburg--Landau Spiral Waves
Isabelle Schneider, Babette de Wolff, Jia-Yuan Dai
The complex Ginzburg--Landau equation serves as a paradigm of pattern formation and the existence and stability properties of Ginzburg--Landau -armed spiral waves have been inve…
Geometric invariance of determining and resonating centers: Odd- and any-number limitations of Pyragas control
B. de Wolff, I. Schneider
In the spirit of the well-known odd-number limitation, we study failure of Pyragas control of periodic orbits and equilibria. Addressing the periodic orbits first, we derive a fund…
Coexistence of infinitely many large, stable, rapidly oscillating periodic solutions in time-delayed Duffing oscillators
Bernold Fiedler, Alejandro López Nieto, Richard H. Rand +3
We explore stability and instability of rapidly oscillating solutions for the hard spring delayed Duffing oscillator Fix . We target…
Bistability in Two Simple Symmetrically Coupled Oscillators with Symmetry-broken Amplitude- and Phase-Locking
André Röhm, Kathy Lüdge, Isabelle Schneider
In the model system of two instantaneously and symmetrically coupled identical Stuart-Landau oscillators we demonstrate that there exist stable solutions with symmetry-broken ampli…
Stabilized rapid oscillations in a delay equation: Feedback control by a small resonant delay
Bernold Fiedler, Isabelle Schneider
We study scalar delay equations with odd nonlinearity , real nonzero parameters , and two positive time delays…
Stable and transient multi-cluster oscillation death in nonlocally coupled networks
Isabelle Schneider, Marie Kapeller, Sarah Loos +3
In a network of nonlocally coupled Stuart-Landau oscillators with symmetry-breaking coupling, we study numerically, and explain analytically, a family of inhomogeneous steady state…
Time delay control of symmetry-breaking primary and secondary oscillation death
A. Zakharova, I. Schneider, Y. N. Kyrychko +4
We show that oscillation death as a specific type of oscillation suppression, which implies symmetry breaking, can be controlled by introducing time-delayed coupling. In particular…