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Title: | Bifurcation diagram for saddle/source bimodal linear dynamical systems |
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Author: | Peña Carrera, Marta; Ferrer Llop, Josep; Susín Sánchez, Antonio |
Other authors: | Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. SCL-EG - Sistemes de Control Lineals: estudi Geomètric; Universitat Politècnica de Catalunya. ViRVIG - Grup de Recerca en Visualització, Realitat Virtual i Interacció Gràfica |
Abstract: | We continue the study of the structural stability and the bifurcations of planar bimodal linear dynamical systems (BLDS) (that is, systems consisting of two linear dynamics acting on each side of a straight line, assuming continuity along the separating line). Here, we enlarge the study of the bifurcation diagram of saddle/spiral BLDS to saddle/source BLDS and in particular we study the position of the homoclinic bifurcation with regard to the new improper node bifurcation |
Subject(s): | -Àrees temàtiques de la UPC::Matemàtiques i estadística -Linear systems -Piecewise linear system -structural stability -bifurcation diagram -Sistemes lineals de control |
Rights: | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
Document type: | Article - Published version Article |
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