101 citations · 102 across the 3 of their papers we have counts for
3 papers
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.DS2009★ 1 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…
nlin.CD2008★ 101 cited
Experimental continuation of periodic orbits through a fold
J. Sieber, A. Gonzalez-Buelga, S. A. Neild +2
We present a continuation method that enables one to track or continue branches of periodic orbits directly in an experiment when a parameter is changed. A control-based setup in c…