Article in Proceedings INPROC-2009-121

Bibliography	Gardini, L.; Avrutin, V.; Schanz, M.: Connection between bifurcations on the Poincar'e Equator and the dangerous bifurcations. In: Institut für Mathematik, Karl-Franzens-Universität Graz (ed.): Proceedings of the European Conference on Iteration Theory (ECIT'08). University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology. Grazer Mathematische Berichte; 354, pp. 53-72, english. Graz, Austria: -, July 14, 2009. ISSN: 1016-7692. Article in Proceedings (Conference Paper).
CR-Schema	J.2 (Physical Sciences and Engineering)
Abstract	The object of the present work is to describe some bifurcations occurring in the 2D piecewise linear continuous map in canonical form involving the Poincare Equator (i.e. periodic points at infinity) and its relation to the regions of so called dangerous bifurcations (following Hassouneh et al. and Ganguli and Banerjee). It will be shown that such regions are related not only to stable fixed points and repelling saddle cycles, and a more general definition is proposed. The boundaries of such regions are curves related to border collision bifurcations of cycles on the Poincare Equator.
Department(s)	University of Stuttgart, Institute of Parallel and Distributed Systems, Image Understanding
Project(s)	AnT
Entry date	February 9, 2010