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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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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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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Fractional Punishment of Free Riders to Improve Cooperation in Optional Public Good Games
Games, 2021 Improving and maintaining cooperation are fundamental issues for any project to be time-persistent, and sanctioning free riders may be the most applied method to achieve it.
Rocio Botta +2 more
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MATHEMATICAL MODELING OF INFORMATION CONFRONTATION
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2021 The article continues the study of the previously constructed mathematical model of distributing new information in the society. The model is a system of four ordinary differential equations with quadratic nonlinearity in the right parts. The study helps
Timofeev Sergey, Baenkhaeva Ayuna
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Degenerate Bogdanov–Takens bifurcations in a bulk viscous cosmology
European Physical Journal C: Particles and Fields, 2020 Using the dynamical system theory we show that the Friedmann–Robertson–Walker (FRW) cosmological model with bulk viscous fluid in the presence of cosmological constant is equivalent to a degenerate two dimensional Bogdanov–Takens normal form.
Asmaa Abdel Azim +2 more
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Time-Optimal Problem in the Roto-Translation Group with Admissible Control in a Circular Sector
Mathematics, 2023 We study a time-optimal problem in the roto-translation group with admissible control in a circular sector. The problem reveals the trajectories of a car model that can move forward on a plane and turn with a given minimum turning radius.
Alexey Mashtakov, Yuri Sachkov
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Singular points and limit cycles of the generalized Kukles polynomial differential system
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2022 Background. Searching of numbers of Poincare limit cycles of polynomial dynamic systems belongs to second part of the 16th Gilbert problem, which is not solved in general.
I.N. Mal'kov, V.V. Machulis
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The point charge oscillator: qualitative and analytical investigations
Mathematical Modelling and Analysis, 2019 We study the mathematical model of the point charge oscillator which has been derived by A. Beléndez et al. [2]. First we determine the global phase portrait of this model in the Poincaré disk.
Klaus R. Schneider
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Combining global and multi-scale features in a description of the solar wind-magnetosphere coupling [PDF]
Annales Geophysicae, 2003 The solar wind-magnetosphere coupling during substorms exhibits dynamical features in a wide range of spatial and temporal scales. The goal of our work is to combine the global and multi-scale description of magnetospheric dynamics in a unified ...
A. Y. Ukhorskiy +4 more
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