Border Collision Bifurcations in n-Dimensional Piecewise Linear Discontinuous Maps

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dc.creatorDutta, Partha Sharathi
dc.creatorRoutroy, Bitihotra
dc.creatorBanerjee, Soumitro
dc.creatorAlam, S. S.
dc.date2006-01-16
dc.date2006-01-27
dc.date.accessioned2026-07-07T06:59:36Z
dc.date.available2026-07-07T06:59:36Z
dc.descriptionIn this paper we report some important results that help in analizing the border collision bifurcations that occur in n-dimensional discontinuous maps. For this purpose, we use the piecewise linear approximation in the neighborhood of the plane of discontinuity. Earlier, Feigin had made a similar analysis for general n-dimensional piecewise smooth continuous maps. Proceeding along similar lines, we obtain the general conditions of existence of period-1 and period-2 fixed points before and after a border collision bifurcation. The application of the method is then illustrated using a specific example of a two-dimensional discontinuous map.
dc.descriptionSubmitted to CHAOS
dc.identifierhttps://arxiv.org/abs/nlin/0601038
dc.identifierhttp://arxiv.org/abs/nlin/0601038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107808
dc.subjectChaotic Dynamics
dc.titleBorder Collision Bifurcations in n-Dimensional Piecewise Linear Discontinuous Maps
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