Global phase portraits of a predator–prey system
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 analysis of the phase portrait for the Kuramoto-Sivashinsky equation [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Exact traveling-wave solutions and dynamical behavior of nonlinear low-pass electrical models in the fractional framework [PDF]
The paper is an analytical study of a low-pass electrical model of nonlinear type in a fractional perspective, in which the classical derivative is generalized to the Katugampola fractional operator. Precise traveling-wave solutions are built based on an
Zainab Alsheekhhussain +5 more
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Global phase portrait of a degenerate Bogdanov-Takens system with symmetry
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Jian-Hua Xie, Hebai Chen
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Local and global phase portrait of equation $\dot z=f(z)$
This paper studies the differential equation $\dot z=f(z)$, where $f$ is an analytic function in $\mathbb C$ except, possibly, at isolated singularities. We give a unify treatment of well known results and provide new insight into the local normal forms and global properties of the solutions for this family of differential equations.
Antonio Garijo +2 more
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Global‐phase portrait and large‐degree asymptotics for the Kissing polynomials [PDF]
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 of a plane autonomous system [PDF]
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Global phase portraits of a SIS model [PDF]
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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Global Phase Portrait and Local Integrability of Holomorphic Systems
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Gouveia, Luiz F. S. +2 more
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Review Article: "The Lagrangian description of aperiodic flows: a case study of the Kuroshio Current" [PDF]
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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