Global bifurcation analysis of a rational Holling system [PDF]
Компьютерные исследования и моделирование, 2017 In this paper, we consider a quartic family of planar vector fields corresponding to a rational Holling system which models the dynamics of the populations of predators and their prey in a given ecological or biomedical system and which is a variation on
Valery Aleksandrovich Gaiko
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Explicit limit cycles of a class of Kolmogorov system
Universal Journal of Mathematics and Applications, 2018 A class of Kolmogorov differential system is introduced. It is shown that under suitable assumptions on degrees and parameters, algebraic limit cycles can occur. we propose an easy algorithm to test the existence of limit cycles and we give them explicit
Salah Benyoucef, Ahmed Bendjeddou
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Speed Oscillations of a Vehicle Rolling on a Wavy Road
Applied Sciences, 2021 Every driver knows that his car is slowing down or accelerating when driving up or down, respectively. The same happens on uneven roads with plastic wave deformations, e.g., in front of traffic lights or on nonpaved desert roads.
Walter V. Wedig
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Evaluation of urban green spaces in Tabriz from 1976 to 2016 using satellite images and changes prediction with artificial neural networks [PDF]
نشریه جغرافیا و برنامهریزی, 2020 Introduction In recent decades, research on land use/land cover change has become an important aspect of global change, or global warming studies, since land use/land cover change is a major factor for global change because of its interactions with ...
Akbar Rahimi
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Correction: Number of Limit Cycles for Planar Systems with Invariant Algebraic Curves
Qualitative Theory of Dynamical SystemsA. Gasull, Hector Giacomini
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Algebraic Analysis of Bifurcation and Limit Cycles for Biological Systems [PDF]
, 2008 In this paper, we show how to analyze bifurcation and limit cycles for biological systems by using an algebraic approach based on triangular decomposition, Gröbner bases, discriminant varieties, real solution classification, and quantifier elimination by partial CAD.
Niu, Wei, Wang, Dongming
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Geometriae Dedicata, 2017 Algebraic limit cycles in quadratic polynomial differential systems started to be studied in 1958, and few years later the following conjecture appeared: quadratic polynomial differential systems have at most one algebraic limit cycle.
J. Llibre, C. Valls
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Classification of dynamical switching regimes in a three-layered ferromagnetic nanopillar governed by spin-polarized injection current and external magnetic field. I. Longitudinal anisotropy [PDF]
Компьютерные исследования и моделирование, 2016 The mathematical model of the magnetic memory cell MRAM with the in-plane anisotropy axis parallel to the edge of a free ferromagnetic layer (longitudinal anisotropy) has been constructed using approximation of uniform magnetization.
Natalia Vladimirovna Ostrovskaya +2 more
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Limit Cycles and Invariant Curves in a Class of Switching Systems with Degree Four
Journal of Function Spaces, 2018 In this paper, a class of switching systems which have an invariant conic x2+cy2=1,c∈R, is investigated. Half attracting invariant conic x2+cy2=1,c∈R, is found in switching systems.
Xinli Li, Huijie Yang, Binghong Wang
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Quadratic systems with a symmetrical solution
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In this paper we study the existence and uniqueness of limit cycles for so-called quadratic systems with a symmetrical solution: \begin{equation*} \begin{split} \frac{dx(t)}{dt}& = P_2(x,y) \equiv a_{00}+a_{10}x+a_{01}y+a_{20}x^2+a_{11}xy+a_{02}y^2 ...
Andre Zegeling, Robert Kooij
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