Transcritical Bifurcations and Algebraic Aspects of Quadratic Multiparametric Families

Author:

Contreras Orge Rodríguez1,Linero Alberto Reyes1,Montes Bladimir Blanco1,Acosta Humánez Primitivo B.2

Affiliation:

1. Facultad de Ciencias Básicas Universidad del Atlántico, Barranquilla­ COLOMBIA

2. Instituto Superior de Formación Docente Salomé Ureña, Recinto Emilio Prud’Homme, Santiago, ­DOMINICAN REPUBLIC

Abstract

This article reveals an analysis of the quadratic systems that hold multiparametric families therefore, in the first instance the quadratic systems are identified and classified in order to facilitate their study and then the stability of the critical points in the finite plane, its bifurcations, stable manifold and lastly, the stability of the critical points in the infinite plane, afterwards the phase portraits resulting from the analysis, moreover Algebraic aspects are also included such that hamiltonian cases and Galois differential groupes. It should be noted that these families have associated oscillating type problems given their similarity to the Liénard equations.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Euclidean Jordan Algebras and Some Properties of Strongly Regular Graphs;2022 7th International Conference on Mathematics and Computers in Sciences and Industry (MCSI);2022-08

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