We kindly invite you to the Miklós Farkas Seminar.
8 November (Thursday) 10.15, BME H306
Barna Garay (Pázmány Péter Chatolic University)
Moving average network examples for asymptotically stable periodic orbits of monotone maps
For a certain type of discrete--time nonlinear consensus dynamics, asymptotically stable periodic orbits are constructed. Based on a simple ordinal pattern assumption, the Frucht graph, two Petersen septets, hypercubes, a technical class of circulant graphs (containing Paley graphs of prime order), and complete graphs are considered -- they are all carrying moving average monotone dynamics admitting asymptotically stable periodic orbits with period 2. Carried by a directed graph with 594 (multiple and multiple loop) edges on 3 vertices, also the existence of asymptotically stable r-periodic orbits, r=3,4,... is shown.
(István Faragó, János Karátson, Róbert Horváth, Miklós Mincsovics)
Visit the homepage of the seminar: http://math.bme.hu/AlkAnalSzemi