2021/03/03 by Jorge Rodríguez Contreras, Alberto Reyes Linero, Contreras, Jorge Rodríguez +5
Computer Science · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematical and Computational Methods #Polynomial and algebraic computation #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.2103.02773
openalex publication_date 2021/03/03 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
This article reveals an analysis of the quadratic systems that hold\nmultiparametric families therefore, in the first instance the quadratic systems\nare identified and classified in order to facilitate their study and then the\nstability of the critical points in the finite plane, its bifurcations, stable\nmanifold and lastly, the stability of the critical points in the infinite\nplane, afterwards the phase portraits resulting from the analysis of these\nfamilies are graphed. To properly perform this study it was necessary to use\nsome results of the non-linear systems theory, for this reason vital\ndefinitions and theorems were included because of their importance during the\nstudy of the multiparametric families. Algebraic aspects are also included.\n