Results 31 to 40 of about 909 (172)
Transcritical Bifurcations and Algebraic Aspects of Quadratic Multiparametric Families
WSEAS TRANSACTIONS ON MATHEMATICS, 2021 This article reveals an analysis of the quadratic systems that hold multiparametric families therefore, in the first instance the quadratic systems are identified and classified in order to facilitate their study and then the stability of the critical points in the finite plane, its bifurcations, stable manifold and lastly, the stability of the ...
Contreras, Jorge Rodríguez +3 more
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Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model
Discrete Dynamics in Nature and Society, 2013 The discrete-time epidemic model is investigated, which is obtained using the Euler method. It is verified that there exist some dynamical behaviors in this model, such as transcritical bifurcation, flip bifurcation, Hopf bifurcation, and chaos.
Junhong Li, Ning Cui
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Scientific Reports, 2023 Using a semidiscretization method, we derive in this paper a discrete slow-fast predator-prey system with ratio-dependent functional response. First of all, a detailed study for the local stability of fixed points of the system is obtained by invoking an
Xianyi Li, Jiange Dong
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Mathematics, 2020 We proposed and analyzed a predator–prey model with both the additive Allee effect and the fear effect in the prey. Firstly, we studied the existence and local stability of equilibria.
Liyun Lai, Zhenliang Zhu, Fengde Chen
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Hopf Bifurcation Analysis of the Halvorsen System
Zanco Journal of Pure and Applied SciencesThis paper investigates local bifurcations in the Halvorsen system, focusing specifically on transcritical and Hopf bifurcations. The behavior of equilibrium points during bifurcations is studied using Sotomayor's theorem for transcritical bifurcation ...
Kardo Baiz Othman, Adnan Ali Jalal
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Metamorphosis of plasma turbulence–shear-flow dynamics through a transcritical bifurcation [PDF]
Physical Review E, 2002 17 pages, revtex text, 9 figures comprised of 16 postscript files. Submitted to Phys.
Ball, Rowena, Dewar, Robert, Sugama, H
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A sequence of transcritical bifurcations in a suspension of gyrotactic microswimmers in vertical pipe [PDF]
Journal of Fluid Mechanics, 2020 Abstract
Lloyd Fung, Yongyun Hwang
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Relaxation to Fixed Points in the Logistic and Cubic Maps: Analytical and Numerical Investigation
Entropy, 2013 Convergence to a period one fixed point is investigated for both logistic and cubic maps. For the logistic map the relaxation to the fixed point is considered near a transcritical bifurcation while for the cubic map it is near a pitchfork bifurcation. We
Edson D. Leonel +2 more
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THE ROLE OF COST OF LOAN IN BANKING LOAN DYNAMICS: BIFURCATION AND CHAOS ANALYSIS
Barekeng, 2022 The gradient adjustment process is used to create a dynamic model of banking loan. The sign of the loan’s marginal profit determines how much money will be loaned in the future.
Moch. Fandi Ansori, Siti Khabibah
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Transcritical bifurcation yielding global stability for network processes
Nonlinear Analysis, 2020 In this paper, the dynamical system \[ \dot x(t)=f(x(t)) \tag{1} \] is considered in the unit cube \(Q=\{x\in \mathbb{R}^n: 0\le x_i\le 1, i=1,\dots,n\}\) where \(f:\mathbb{R}^n\to\mathbb{R}^n\) is a differentiable function. If \(x=0\) is a solution of system (1), the authors specify sufficient conditions of its global asymptotic stability.
Berzlánovichné Bodó, Ágnes +1 more
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