Results 11 to 20 of about 4,320 (200)
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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Imperfect transcritical and pitchfork bifurcations
Journal of Functional Analysis, 2007 Let \(X\) and \(Y\) be Banach spaces, \(F: \mathbb{R} \times X \to Y\) a nonlinear differentiable map. The authors study the bifurcations of solutions for the equation \[ F(\lambda, u) = 0 \] in a neighborhood of a point \((\lambda_0, u_0)\) under the following assumptions: (F1) \(\dim N\left(F_u\left(\lambda_0,u_0\right)\right) = \text{codim}\,R \left(
Liu, Ping, Shi, Junping, Wang, Yuwen
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Qualitative Theory of Dynamical Systems, 2022 Abstract After a discrete two-species predator-prey system with ratio-dependent functional response is topologically and equivalently reduced, some new dynamical properties for the new discrete system are formulated. The one is for the existence and local stability for all equilibria of this new system.
Li, Xianyi, Liu, Yuqing
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A transcritical bifurcation in an immune response model
Journal of Difference Equations and Applications, 2011 The consequences of regulatory T cell (Treg) inhibition of interleukine 2 secretion are examined by mathematical modelling. We find a transcritical bifurcation that might explain two alternative scenarios: in one case the appearance of autoimmune responses and in another the suppression of the immune response.
Burroughs, N. J. +3 more
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Hopf-transcritical bifurcation in toxic phytoplankton–zooplankton model with delay
Journal of Mathematical Analysis and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Yong, Wang, Hongbin, Jiang, Weihua
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Transcritical and zero-Hopf bifurcations in the Genesio system [PDF]
Nonlinear Dynamics, 2016 Agraïments: The first author is supported by FAPESP Grant No. 2013/24541-0. Both authors are supported by CAPES Grant 88881.030454/2013-01 Program CSF-PVE. In this paper we study the existence of transcritical and zero--Hopf bifurcations of the third--order ordinary differential equation a b c x - x^2 = 0, called the Genesio equation, which has a ...
Pedro Toniol Cardin, Jaume Llibre
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Mathematical and Computer Modelling of Dynamical SystemsIn this paper, a discrete predator-prey model incorporating herd behaviour and square root response function is deduced from its continuous version by the semi-discretization method.
Danyang Li, Xianyi Li
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The saddle-node-transcritical bifurcation in a population model with constant rate harvesting
Discrete & Continuous Dynamical Systems - B, 2010 We study the interaction of saddle-node and transcritical bifurcations in a Lotka-Volterra model with a constant term representing harvesting or migration. Because some of the equilibria of the model lie on an invariant coordinate axis, both the saddle-node and the transcritical bifurcations are of codimension one.
Saputra, Kie. +2 more
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Effect of energetic electrons on transcritical bifurcation of low-frequency electrostatic waves in plasma [PDF]
مجله علوم و فنون هستهای, 2022 This paper studies the bifurcation types and phase portrait properties of ion-acoustic traveling waves in a plasma comprising warm adiabatic ions and energetic electrons with a nonthermal distribution function. A dynamical system is first derived for the
H. Alinejad
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Complex Dynamics of a Predator-Prey System With Gompertz Growth and Herd Behavior
International Journal of Analysis and Applications, 2023 The complex dynamics of a predator-prey system in discrete time are studied. In this system, we consider the prey’s Gompertz growth and the square-root functional response. The existence of fixed points and stability are examined.
Rizwan Ahmed, M. B. Almatrafi
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