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Stratifications and foliations in phase portraits of gene network models [PDF]
Вавиловский журнал генетики и селекции, 2023 Periodic processes of gene network functioning are described with good precision by periodic trajectories (limit cycles) of multidimensional systems of kinetic-type differential equations.
V. P. Golubyatnikov +3 more
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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 infinity) modulo topological equivalence. It is well-known that the equilibrium point of the Leslie-Gower
Llibre, Jaume, Valls, Claudia
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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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Phase portraits on the unit sphere of the stretch-twist-fold flow
Nonlinear Analysis, 2023 The so-called stretch-twist-fold flow consists in a Stokes flow depending on two parameters defined in a unit closed ball B that is associated with the motion of a fluid particle coming from the dynamo theory, and it models a mechanism for studying the ...
Jaume Llibre, Claudia Valls
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Mathematics, 2023 The main purpose of this paper is to study the dynamics and embedded solitons of stochastic quadratic and cubic nonlinear susceptibilities in the Itô sense, which can further help researchers understand the propagation of soliton nonlinear systems ...
Zhao Li, Chen Peng
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Phase Portraits of Hyperbolic Geometry [PDF]
The Mathematical Intelligencer, 2019 Phase plotting is a useful way of visualising functions on complex space. We reinvent the method in the context of hyperbolic geometry, and we use it to plot functions on various representative surfaces for hyperbolic space, illustrating with direct motions in particular. The reinvention is nontrivial, and we discuss the essential features for ensuring
Scott B. Lindstrom, Paul Vrbik
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Fractal and Fractional, 2023 This paper studies the bifurcations of the exact solutions for the time–space fractional complex Ginzburg–Landau equation with parabolic law nonlinearity.
Wenjing Zhu +3 more
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Phase portraits of the Higgins–Selkov system
Discrete and Continuous Dynamical Systems - B, 2022 In this paper we study the dynamics of the Higgins-Selkov system x˙=1-xyγ,y˙=αy(xyγ-1-1), where α is a real parameter and γ > 1 is an integer. We classify the phase portraits of this system for γ = 3,4,5,6, in the Poincaré disc for all the values of the parameter α.
Llibre, Jaume, Mousavi, Marzieh
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Frontiers in Energy Research, 2021 The chief aim of the proposed paper is to compare the behavior of supply voltage registered onboard three vessels equipped with high power converters during normal operation.
Tomasz Tarasiuk +5 more
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On Oscillations in a Gene Network with Diffusion
Mathematics, 2023 We consider one system of partial derivative equations of the parabolic type as a model of a simple 3D gene network in the presence of diffusion of its three components.
Vladimir Golubyatnikov +2 more
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