activity
20082022
most citedExperimental continuation of periodic orbits through a fold

101 citations · 146 across the 5 of their papers we have counts for

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6 papers · 1 filter

math.DS2020

Signatures consistent with multi-frequency tipping in the Atlantic meridional overturning circulation

Andrew Keane, Bernd Krauskopf, Timothy M. Lenton

The early detection of tipping points, which describe a rapid departure from a stable state, is an important theoretical and practical challenge. Tipping points are most commonly a…

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.DS2020

A continuation approach to computing phase resetting curves

Peter Langfield, Bernd Krauskopf, Hinke M. Osinga

Phase resetting is a common experimental approach to investigating the behaviour of oscillating neurons. Assuming repeated spiking or bursting, a phase reset amounts to a brief per…

math.DS2019

The Yamada model for a self-pulsing laser: bifurcation structure for non-identical decay times of gain and absorber

Robert Otupiri, Bernd Krauskopf, Neil G. R. Broderick

We consider self-pulsing in lasers with a gain section and an absorber section via a mechanism known as Q-switching, as described mathematically by the Yamada ordinary differential…

math.DS2019

Global manifold structure of a continuous-time heterodimensional cycle

Andy Hammerlindl, Bernd Krauskopf, Gemma Mason +1

A heterodimensional cycle consists of a pair of heteroclinic connections between two saddle periodic orbits with unstable manifolds of different dimensions. Recent theoretical work…

math.DS20091 cited

Using feedback control and Newton iterations to track dynamically unstable phenomena in experiments

Jan Sieber, Bernd Krauskopf

If one wants to explore the properties of a dynamical system systematically one has to be able to track equilibria and periodic orbits regardless of their stability. If the dynamic…