67 citations · 82 across the 17 of their papers we have counts for
8 papers · 1 filter
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…
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…
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…
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…
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…
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…
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…
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…