Article in Proceedings INPROC-2009-131

BibliographyAvrutin, Viktor; Schanz, Michael; Gardini, Laura: Map replacement approach for calculation of bifurcation curves and its applicability conditions.
In: Proceedings of the 2009 International Workshop on Nonlinear Maps and their Applications (NOMA'09).
University of Stuttgart, Faculty of Computer Science, Electrical Engineering, and Information Technology.
pp. 53-58, english.
University of Urbino, INSA Toulouse, Tokushima University, September 2009.
Article in Proceedings (Conference Paper).
CR-SchemaJ.2 (Physical Sciences and Engineering)
G.2 (Discrete Mathematics)
KeywordsBorder-collision bifurcations; Piecewise-smooth maps; Piecewise-linear maps
Abstract

In this work we reconsider the approach suggested about 50 years ago (1959) in a series of publications by N.N.Leonov for the calculation of border-collision bifurcation curves in piecewise-linear maps. We extend this approach and explain its applicability conditions.

Department(s)University of Stuttgart, Institute of Parallel and Distributed Systems, Image Understanding
Project(s)AnT, OCiND
Entry dateMay 5, 2010
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