Border-collision bifurcations in one-dimensional discontinuous maps

Jain, Parag ; Banerjee, Soumitro (2003) Border-collision bifurcations in one-dimensional discontinuous maps International Journal of Bifurcation and Chaos, 13 (11). pp. 3341-3351. ISSN 0218-1274

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Official URL: http://www.worldscinet.com/ijbc/13/1311/S021812740...

Related URL: http://dx.doi.org/10.1.1.66.9404

Abstract

We present a classification of border-collision bifurcations in one-dimensional discontinuous maps depending on the parameters of the piecewise linear approximation in the neighborhood of the point of discontinuity. For each range of parameter values we derive the condition of existence and stability of various periodic orbits and of chaos. This knowledge will help in understanding the bifurcation phenomena in a large number of practical systems which can be modeled by discontinuous maps in discrete domain.

Item Type:Article
Source:Copyright of this article belongs to World Scientific Publishing Co Pte Ltd.
Keywords:Border-collision Bifurcations; Discontinuous Maps; Power Electronics
ID Code:21416
Deposited On:20 Nov 2010 12:54
Last Modified:17 May 2016 05:38

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