Metamorphosis of plasma turbulence-shear flow dynamics through a transcritical bifurcation [PDF]
Physical Review E, 2002 The structural properties of an economical model for a confined plasma turbulence governor are investigated through bifurcation and stability analyses.
A. E. Hubbard +44 more
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Transcritical bifurcation of an immunosuppressive infection model [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2016 In this paper, the dynamic behavior of an immunosuppressive infection model, speci_cally AIDS, is analyzed. We show through a simple mathematical model that a sigmoidal CTL response can lead to the occurrence of transcritical bifurcation.
Elham Shamsara +2 more
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Transcritical bifurcation in a multiparametric nonlinear system
AIMS Mathematics, 2022 In this paper we study a multiparametric nonlinear system with a transcritical bifurcation in a region of points of $ \mathbb{R}^3 $. The parametric regions that constitute the boundaries where important qualitative changes occur in the dynamics of the ...
Osmin Ferrer +2 more
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A note on the direction of the transcritical bifurcation in epidemic models
Nonlinear Analysis, 2015 In classical epidemic models, it is common to observe that a disease-free equilibrium looses its stability for R0=1 and a transcritical bifurcation takes place.
Bruno Buonomo
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Nonautonomous transcritical and pitchfork bifurcations in impulsive systems [PDF]
Miskolc Mathematical Notes, 2013 For the first time analogues of nonautonomous transcritical and pitchfork bifurcations are investigated for impulsive systems.
Marat Akhmet, Ardak Kashkynbayev
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A sequence of transcritical bifurcations in a suspension of gyrotactic microswimmers in vertical pipe [PDF]
, 2020 Kessler (Nature, vol. 313, 1985, pp. 218-220) first showed that plume-like structures spontaneously appear from both stationary and flowing suspensions of gyrotactic microswimmers in a vertical pipe.
Fung, Lloyd, Hwang, Yongyun
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Discretizing the transcritical and pitchfork bifurcations -- conjugacy\n results [PDF]
Journal of Difference Equations and Applications, 2014 We present two case studies in one-dimensional dynamics concerning the discretization of transcritical (TC) and pitchfork (PF) bifurcations. In the vicinity of a TC or PF bifurcation point and under some natural assumptions on the one-step discretization method of order $p\ge 1$, we show that the time-$h$ exact and the step-size-$h$ discretized ...
Lajos Lóczi
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Transcritical Bifurcation without Parameters in Memristive Circuits [PDF]
SIAM Journal on Applied Mathematics, 2018 The transcritical bifurcation without parameters (TBWP) describes a stability change along a line of equilibria, resulting from the loss of normal hyperbolicity at a given point of such a line. Memristive circuits systematically yield manifolds of non-isolated equilibria, and in this paper we address a systematic characterization of the TBWP in ...
Ricardo Riaza
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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 ...
Orge Rodríguez Contreras +3 more
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Transcritical Bifurcation for the Conditional Distribution of a Diffusion Process [PDF]
Journal of Theoretical Probability, 2022 In this article, we describe a simple class of models of absorbed diffusion processes with parameter, whose conditional law exhibits a transcritical bifurcation. Our proofs are based on the description of the set of quasi-stationary distributions for general two-clusters reducible processes.
Michel Benaı̈m +3 more
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