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Phase Portraits of the Leslie-Gower System [PDF]

Acta Mathematica Scientia, 2022
In this paper we characterize the phase portraits of the Leslie-Gower model for competition among species. We give the complete description of their phase portraits in the Poincaré disc (i.e., in the compactification of R adding the circle S of the ...
Claudia Valls, Jaume Llibre
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Global Phase Portraits of Memristor Oscillators

International Journal of Bifurcation and Chaos, 2014
In this paper, the global dynamics of memristor oscillators are investigated. For the sake of analysis, we first reformulate the original system into a simple form, which has only three parameters, and analyze its dynamics according to the variation of the parameters.
Hebai Chen, Xuefang Li
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Global phase portraits for a like structurally orthotropic stringer shell system

Communications in Nonlinear Science and Numerical Simulation
Xiuli Cen, Yuzhou Tian
exaly   +3 more sources

Global Phase Portraits of Ordinary Differential Equations Modeling the Acute Promyelocytic Leukemia

Differential Equations and Dynamical Systems, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Candido, Douglas Modesto, Dias, Fabio Scalco, Mello, Luis Fernando   +2 more
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Global Phase Portraits for a Planar ℤ2-Equivariant Kukles Systems of Degree 3

International Journal of Bifurcation and Chaos, 2020
We provide normal forms and the global phase portraits on the Poincaré disk of all planar Kukles systems of degree [Formula: see text] with [Formula: see text]-equivariant symmetry. Moreover, we also provide the bifurcation diagrams for these global phase portraits.
Fabio Scalco Dias, Ronisio Moises Ribeiro, Cláudia Valls   +2 more
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Global phase portraits of generalized polynomial Liénard system with a unique equilibrium and a periodic annulus

Dynamical Systems
Hebai Chen, Zhaosheng Feng
exaly   +2 more sources

Global Phase Portraits of Piecewise Quadratic Differential Systems with a Pseudo-Center

International Journal of Bifurcation and Chaos
This paper deals with the global dynamics of planar piecewise smooth differential systems constituted by two different vector fields separated by one straight line that passes through the origin. From a quasi-canonical family of piecewise quadratic differential systems with a pseudo-focus point at the origin, which has six parameters, we investigate ...
Meriem Barkat, Rebiha Benterki, Enrique Ponce   +2 more
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Bifurcation Diagram and Global Phase Portraits of a Family of Quadratic Vector Fields in Class I

Qualitative Theory of Dynamical Systems, 2020
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Man Jia, Haibo Chen, Hebai Chen
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A complete global phase portrait for the matrix Riccati equation

The 22nd IEEE Conference on Decision and Control, 1983
A complete description is given for the phase portrait of the matrix Riccati equation which arises from the optimal control and filtering problems, as well as for associated differential equations on the Grassmann and Lagrange-Grassmann manifolds. The phase portraits are characterized topologically as well as set-theoretically.
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Global phase portraits of the planar perpendicular problem of two fixed centers

Journal of Mathematical Physics, 2009
We study the global phase portrait of the classical problem of an electron in the electrostatic field of two protons that we assume fixed to symmetric distances on the x3 axis. The general problem can be formulated as an integrable Hamiltonian system of three degrees of freedom, but we restrict our study to the invariant planar case that is equidistant
Jiménez Lara, Lidia, Llibre, Jaume, Vargas, Martín   +2 more
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