Exploració per tema "bifurcation diagram"
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A discrete-time chaotic oscillator based on the logistic map: A secure communication scheme and a simple experiment using Arduino
(2015-03-29)
Article
Accés obertThis paper presents a modified discrete-time chaotic system obtained from the standard logistic map model. Then, a secure communication system is given and numerical experiments are carry out using the conceived discrete-time ... -
Bifurcation diagram for saddle/source bimodal linear dynamical systems
(2016)
Article
Accés obertWe 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 ... -
Bifurcation diagram of Saddle/Spiral bimodal linear systems
(2017-01-01)
Article
Accés obertWe complete the study of the bifurcations of saddle/spiral bimodal linear systems, depending on the respective traces T and t: one 2-codimensional bifurcation; four kinds of 1-codimensional bifurcations. We stratify the ... -
Codimension-3 bifurcation for continuous saddle bimodal linear dynamical systems
(2018-02-01)
Article
Accés obertWe continue the study of the structural stability and the bifurcations of planar continuous bimodal linear dynamical systems (that is, systems consisting of two linear dynamics acting on each side of a straight line, ... -
Perturbation of quadrics
(2000)
Article
Accés obertThe aim of this paper is to study what happens when a slight perturbation affects the coefficients of a quadratic equation defining a variety (a quadric) in R^n. Structurally stable quadrics are those a small perturbation ... -
Quadratic differential systems with a weak focus of first order and a finite saddle-node
(Universitat Politècnica de Catalunya, 2023-06)
Projecte Final de Màster Oficial
Accés obertPlanar quadratic differential systems occur in many areas of applied mathematics. Although more than one thousand papers were written on these systems, a complete understanding of this class is still missing. Classical ...