activity
20172026
most citedTemporal dissipative solitons in time-delay feedback systems

67 citations · 82 across the 17 of their papers we have counts for

collaborators

17 papers

math.DS2026

Phase oscillator networks with multiple and state-dependent delays: A framework for exploring white matter plasticity in neurodynamics

Grace Jolly, Rachel Nicks, Stefan Ruschel +2

Network science is increasingly focused on how node dynamics influence emergent phenomena such as oscillations, waves, chimeras, and turbulence. In oscillatory systems modeled by n…

q-bio.NC2026

Adaptive conduction delays and phase locking in spiking Haken Lighthouse networks

Stephen Coombes, Rüdiger Thul, Stefan Ruschel +1

We develop a theory of phase-locked activity in delayed spiking networks using the Haken Lighthouse model as an analytically tractable event-based description of neural dynamics. F…

nlin.AO2026

Network Attractors driven by Time-Delay Plasticity

Stefan Ruschel, Emanuil Hristov, Hil G. E. Meijer +2

We develop a framework for collective frequency selection and attractor formation by means of delay plasticity. Specifically, we consider adaptive axonal delays (AADs), motivated b…

nlin.PS2026

Periodic and quasiperiodic traveling waves in nonlinear lattices with odd elasticity

Andrus Giraldo, Stefan Ruschel, Behrooz Yousefzadeh

Discrete nonlinear systems support a rich variety of localized and extended wave phenomena, with their dynamics sensitively dependent on the symmetries of the underlying interactio…

physics.optics2025

Strongly resonant polarization dynamics of pulse trains in a spin-flip model for an excitable microlaser with delayed self-feedback

Stefan Ruschel, Sylvain Barbay, Neil G. R. Broderick +1

Motivated by recent experimental observations concerning the polarization dynamics in an excitable microlaser with saturable absorber coupled to an external feedback mirror reporte…

physics.optics2024

Regenerative vectorial breathers in a delay-coupled neuromorphic microlaser with integrated saturable absorber

Stefan Ruschel, Venkata A. Pammi, Rémy Braive +5

We report on the polarization dynamics of regenerative light pulses in a micropillar laser with integrated saturable absorber coupled to an external feedback mirror. The delayed se…

nlin.PS2024

Master stability for traveling waves on networks

Stefan Ruschel, Andrus Giraldo

We present a framework for determining effectively the spectrum and stability of traveling waves on networks with symmetries, such as rings and lattices, by computing master stabil…

math.DS2023

Sounding the metabolic orchestra: A delay dynamical systems perspective on the glucose-insulin regulatory response to on-off glucose infusion

Stefan Ruschel, Benoit Huard

We investigate the consequences of periodic, on-off glucose infusion on the glucose-insulin regulatory system on the basis of a system-level mathematical model with two explicit ti…

math.DS2022

Pulse-adding of Temporal Dissipative Solitons: Resonant Homoclinic Points and the Orbit Flip of Case B with Delay

Andrus Giraldo, Stefan Ruschel

We numerically investigate the branching of temporally localized, two-pulse periodic traveling waves from one-pulse periodic traveling waves with non-oscillating tails in delay dif…

math.DS2021★ 1 cited

Nonlinear effects of instantaneous and delayed state dependence in a delayed feedback loop

Antony R. Humphries, Bernd Krauskopf, Stefan Ruschel +1

We study a scalar, first-order delay differential equation (DDE) with instantaneous and state-dependent delayed feedback, which itself may be delayed. The state dependence introduc…

math.DS2020

The limits of sustained self-excitation and stable periodic pulse trains in the Yamada model with delayed optical feedback

Stefan Ruschel, Bernd Krauskopf, Neil G. R. Broderick

We consider the Yamada model for an excitable or self-pulsating laser with saturable absorber, and study the effects of delayed optical self-feedback in the excitable case. More sp…

math.DS2019

The Spectrum of Delay Differential Equations with Multiple Hierarchical Large Delays

Stefan Ruschel, Serhiy Yanchuk

We prove that the spectrum of the linear delay differential equation with multiple hierarchical large delays $1\llτ_{1}\llτ…

q-bio.PE2019

Consequences of delays and imperfect implementation of isolation in epidemic control

Lai-Sang Young, Stefan Ruschel, Serhiy Yanchuk +1

For centuries isolation has been the main control strategy of unforeseen epidemic outbreaks. When implemented in full and without delay, isolation is very effective. However, flawl…

nlin.PS2019★ 67 cited

Temporal dissipative solitons in time-delay feedback systems

Serhiy Yanchuk, Stefan Ruschel, Jan Sieber +1

Localized states are a universal phenomenon observed in spatially distributed dissipative nonlinear systems. Known as dissipative solitons, auto-solitons, spot or pulse solutions,…

math.DS2018★ 5 cited

Delay-Induced Switched States in a slow-fast system

Stefan Ruschel, Serhiy Yanchuk

We consider the two-component delay system with small parameters , and positive feedback func…

math.DS2018

SIQ: a delay differential equations model for disease control via isolation

Stefan Ruschel, Tiago Pereira, Serhiy Yanchuk +1

Infectious diseases are among the most prominent threats to mankind. When preventive health care cannot be provided, a viable means of disease control is the isolation of individua…

nlin.PS2017★ 9 cited

Chaotic bursting in semiconductor lasers

S. Ruschel, S. Yanchuk

We investigate the dynamic mechanisms for low frequency fluctuations in semiconductor lasers subject to delayed optical feedback, using the Lang-Kobayashi model. This system of del…