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Global phase portraits of a predator–prey system
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We classify the global dynamics of a family of Kolmogorov systems depending on three parameters which has ecological meaning as it modelizes a predator–prey system.
Érika Diz-Pita +2 more
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Global‐phase portrait and large‐degree asymptotics for the Kissing polynomials [PDF]
Studies in Applied Mathematics, 2021 AbstractWe study a family of monic orthogonal polynomials that are orthogonal with respect to the varying, complex‐valued weight function, , over the interval , where is arbitrary. This family of polynomials originally appeared in the literature when the parameter was purely imaginary, that is, , due to its connection with complex Gaussian quadrature ...
Barhoumi, A, Celsus, AF, Deaño, A
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Global Phase Portrait and Local Integrability of Holomorphic Systems
Qualitative Theory of Dynamical Systems, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gouveia, Luiz F. S. +2 more
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Global phase portraits of a SIS model [PDF]
Applied Mathematics and Computation, 2013 In the qualitative theory of ordinary differential equations, we can find many papers whose objective is the classification of all the possible topological phase portraits of a given family of differential system. Most of the studies rely on systems with real parameters and the study consists of outlining their phase portraits by finding out some ...
Regilene D. S. Oliveira, Alex C. Rezende
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Review Article: "The Lagrangian description of aperiodic flows: a case study of the Kuroshio Current" [PDF]
Nonlinear Processes in Geophysics, 2012 This article reviews several recently developed Lagrangian tools and shows how their combined use succeeds in obtaining a detailed description of purely advective transport events in general aperiodic flows.
C. Mendoza, A. M. Mancho
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Global phase portraits of the key pitchfork bifurcation [PDF]
SCIENTIA SINICA Mathematica, 2019 This paper deals with the following quadratic polynomial differential system$\frac{dx}{dt}=y^{2}-y-x,$ $\frac{dy}{dt}=x^{2}$ $-\,~\mu~x-y,$with parameter $\mu\in\mathbb{R}$, which is the key example for studying the pitchfork bifurcation of a singular point. We classify the global phase portraits in the Poincare disc of this system when $\mu$ varies.
Jaume, Llibre, Shimin, Li
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Darboux polynomials and global phase portraits for the D2 vector field [PDF]
Journal of Mathematical Analysis and Applications, 2019 We study a vector field of R^3 equivariant under the D_2 symmetry group, called "the D_2 field" in the literature. We construct the complete list of Darboux polynomials for it, solving the partial differential equation defining them. We also use these polynomials to comment on its global qualitative behaviour.
Katsios, Kostas, Anastassiou, Stavros
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The Mathematical Model and Deep Learning Features Selection for Whorl Fingerprint Classifications
International Journal of Computational Intelligence Systems, 2021 In this paper, different classes of the whorl fingerprint are discussed. A general dynamical system with a parameter θ is created using differential equations to simulate these classes by varying the value of θ.
Ibrahim Jawarneh, Nesreen Alsharman
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GLOBAL PHASE PORTRAITS OF SOME REVERSIBLE CUBIC CENTERS WITH NONCOLLINEAR SINGULARITIES [PDF]
International Journal of Bifurcation and Chaos, 2013 The results in this paper show that the cubic vector fields ẋ = -y + M(x, y) - y(x2+ y2), ẏ = x + N(x, y) + x( x2+ y2), where M, N are quadratic homogeneous polynomials, having simultaneously a center at the origin and at infinity, have at least 61 and at most 68 topologically different phase portraits.
Magdalena Caubergh, Joan Torregrosa
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