101 citations · 102 across the 2 of their papers we have counts for
6 papers · 1 filter
A Delay Equation Model for the Atlantic Multidecadal Oscillation
Swinda K. J. Falkena, Courtney Quinn, Jan Sieber +1
A new technique to derive delay models from systems of partial differential equations, based on the Mori-Zwanzig formalism, is used to derive a delay difference equation model for…
Derivation of Delay Equation Climate Models Using the Mori-Zwanzig Formalism
Swinda K. J. Falkena, Courtney Quinn, Jan Sieber +2
Models incorporating delay have been frequently used to understand climate variability phenomena, but often the delay is introduced through an ad-hoc physical reasoning, such as th…
Numerical Continuation in Nonlinear Experiments using Local Gaussian Process Regression
L. Renson, J. Sieber, D. A. W. Barton +2
Control-based continuation (CBC) is a general and systematic method to probe the dynamics of nonlinear experiments. In this paper, CBC is combined with a novel continuation algorit…
Effects of periodic forcing on a Paleoclimate delay model
Courtney Quinn, Jan Sieber, Anna von der Heydt
We present a study of a delay differential equation (DDE) model for the Mid-Pleistocene Transition (MPT). We investigate the behavior of the model when subjected to periodic forcin…
Local bifurcations in differential equations with state-dependent delay
Jan Sieber
A common task when analysing dynamical systems is the determination of normal forms near local bifurcations of equilibria. As most of these normal forms have been classified and an…
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…