Results 161 to 170 of about 90,042 (199)

A transcritical bifurcation in an immune response model

open access: yesJournal 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.
Bruno Oliveira   +2 more
exaly   +5 more sources

Discretizing the transcritical and pitchfork bifurcations – conjugacy results [PDF]

open access: yesJournal of Difference Equations and Applications, 2015
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
exaly   +4 more sources

Transcritical Bifurcation without Parameters in Memristive Circuits [PDF]

open access: yesSIAM 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
exaly   +4 more sources

Control of the saddle-node and transcritical bifurcations

IFAC Postprint Volumes IPPV / International Federation of Automatic Control, 2004
Abstract In this paper, the control of the saddle-node and transcritical bifurcations in nonlinear systems is treated. A new approach is presented to find sufficient conditions in terms of the original vector fields. The analysis of the system dynamics is reduced to dimension one through the center manifold theorem.
Fernando Verduzco
exaly   +2 more sources

Hopf-transcritical bifurcation in toxic phytoplankton–zooplankton model with delay

open access: yesJournal of Mathematical Analysis and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weihua Jiang, Hongbin Wang, Yong Wang
exaly   +3 more sources

Transcritical and zero-Hopf bifurcations in the Genesio system [PDF]

open access: yesNonlinear Dynamics, 2016
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 unique quadratic nonlinear term and three real parameters.
Pedro Toniol Cardin, Jaume Llibre
exaly   +6 more sources

Home - About - Disclaimer - Privacy