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math.DS2010★ 82 cited
Climate tipping as a noisy bifurcation: a predictive technique
J. M. T. Thompson, Jan Sieber
It is often known, from modelling studies, that a certain mode of climate tipping (of the oceanic thermohaline circulation, for example) is governed by an underlying fold bifurcati…
math.DS2010
Cycle structure in SR and DSR graphs: implications for multiple equilibria and stable oscillation in chemical reaction networks
Murad Banaji
Associated with a chemical reaction network is a natural labelled bipartite multigraph termed an SR graph, and its directed version, the DSR graph. These objects are closely relate…
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…