Results 41 to 50 of about 78,418 (212)
Behavior Analysis of a Class of Discrete-Time Dynamical System with Capture Rate
Mathematics, 2022 In this paper, we study the stability and bifurcation analysis of a class of discrete-time dynamical system with capture rate. The local stability of the system at equilibrium points are discussed.
Xiongxiong Du, Xiaoling Han, Ceyu Lei
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Phase portraits and bifurcation diagram of the Gray-Scott model
Journal of Mathematical Analysis and Applications, 2020 We give a complete classification of the phase portraits in the Poincaré disk for the cubic polynomial systems ˙ x = 1−x−axy2, ˙ y = −by + axy2, in R2 according with the values of its two parameters a and b. These differential systems correspond to the Gray-Scott model.
Ting Chen, Shimin Li, Jaume Llibre
openalex +6 more sources
Attractors and bifurcation diagrams in complex climate models
Physical Review E, 2023 9 pages, 5 figures, Supplemental Material, accepted for publication in Phys.
Maura Brunetti, Charline Ragon
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Complex Dynamics of a Continuous Bertrand Duopoly Game Model with Two-Stage Delay
Entropy, 2016 This paper studies a continuous Bertrand duopoly game model with two-stage delay. Our aim is to investigate the influence of delay and weight on the complex dynamic characteristics of the system.
Junhai Ma, Fengshan Si
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ANALYSIS OF DYNAMIC CHARACTERISTICS OF FAULTY MAGNETIC BEARING-ROTOR SYSTEM
Jixie qiangdu, 2022 Consider the coupling of shaft cracks, rotor eccentricity, electromagnetic force of the electromagnetic bearing, and friction force between the rotating shaft and auxiliary bearing, the Runge-Kutta method is used to obtain the electromagnetic bearing ...
ZHANG LingYun, ZOU AiCheng
doaj
Bifurcation Diagram of One Generalized Integrable Model of Vortex Dynamics [PDF]
, 2019 The article is devoted to the results of a phase topology research on a generalized mathematical model, which covers such two problems as dynamics of two point vortices enclosed in a harmonic trap in a Bose-Einstein condensate and dynamics of two point vortices bounded by a circular region in an ideal fluid.
arxiv +1 more source
Topological Bifurcation Structure Of One-Parameter Families Of $C^1$ Unimodal Maps [PDF]
, 2021 We consider the bifurcation structure of one-parameter families of unimodal maps whose differentiability is only $C^1$. The structure of its bifurcation diagram can be a very wild one in such case. However we prove that in a certain topological sense, the structure is the same as that of the standard family of quadratic polynomials.
arxiv +1 more source
Mathematics, 2022 A Galerkin/POD reduced-order model from eigenfunctions of non-converged time evolution transitory states in a problem of Rayleigh–Bénard is presented. The problem is modeled in a rectangular box with the incompressible momentum equations coupled with an ...
Jesús Cortés +2 more
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Analysis of degenerate Chenciner bifurcation [PDF]
International Journal of Bifurcation and Chaos Vol. 30, No. 16,
2050245 (2020)Degenerate Chenciner bifurcation in generic discrete-time dynamical systems is studied in this work. While the non-degenerate Chenciner bifurcation can be described by 2 bifurcation diagrams, the degeneracy we studied in this work gives rise to 32 different bifurcation diagrams.
arxiv +1 more source
A Graphical-Based Method for Plotting Local Bifurcation Diagram [PDF]
arXiv, 2021 Bifurcation diagram is a powerful tool that visually gives information about the behavior of the equilibrium points of a dynamical system respect to the varying parameter. This paper proposes an educational algorithm by which the local bifurcation diagram could be plotted manually and fast in an easy and straightforward way.
arxiv