Vorträge und Posterpräsentationen (ohne Tagungsband-Eintrag):
Ch. Kuehn:
"Critical Transitions with a view towards Neuroscience: Analysis, Models and Numerical Continuation";
Vortrag: Mathematics Colloquium - University of Exeter,
Exeter, UK (eingeladen);
12.09.2013.
Kurzfassung englisch:
Critical transitions (or tipping points) are drastic sudden changes in dynamical systems. Recently, various early-warning signs have been proposed to predict a critical transition. We discuss the mathematical background from stochastic fast-slow systems and use these techniques to analyze the FitzHugh-Nagumo equation and also data from epileptic seizures. In the second part of the talk a method to efficiently augment numerical continuation for stochastoc systems will be discussed. An example from binocular rivalry is analyzed and the relation to critical transitions will be
explained.
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.