Results 141 to 150 of about 909 (172)

Beyond the biting - limited impact of explicit mosquito dynamics in dengue models. [PDF]

BMC Infect Dis
Steindorf V, Srivastav AK, Stollenwerk N, Kooi BW, Aguiar M.   +4 more
europepmc   +1 more source

A systematic evaluation of the influence of macrophage phenotype descriptions on inflammatory dynamics. [PDF]

Math Med Biol
Almansour S, Dunster JL, Crofts JJ, Nelson MR.   +3 more
europepmc   +1 more source

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Homoclinic flip bifurcations accompanied by transcritical bifurcation

Chinese Annals of Mathematics Series B, 2011
The author investigates the bifurcation of a homoclinic loop with a nonhyperbolic equilibrium by constructing a suitable Poincaré map. Using the fundamental solutions to linear variational equations as an active coordinate system, he constructs a global map which is composed of a regular map in the tubular neighborhood of the homoclinic orbit and a ...
Xingbo Liu, Liu Xingbo
exaly   +3 more sources

Hopf-transcritical bifurcation in retarded functional differential equations

Nonlinear Analysis: Theory, Methods & Applications, 2010
Firstly, a codimension-two unfolding for the Hopf-transcritical bifurcation is studied, and complete bifurcation diagrams and phase portraits are given. In particular, the heteroclinic bifurcation curve is investigated explicitly, and conditions are obtained under which the secondary bifurcation periodic solutions and the heteroclinic orbit are stable.
Weihua Jiang, Hongbin Wang
exaly   +3 more sources

Bifurcation Near a Transcritical Singularity in Planar Singularly Perturbed Systems

Studies in Applied Mathematics
ABSTRACTWe classify all bifurcation phenomena of the flow near a transcritical singularity in planar singularly perturbed differential systems that do not have a breaking parameter via qualitative analysis and blow‐up technique. Here, the directional blown up vector fields can have several singularities and no first integral that are different from ...
Shen, Jianhe, Zhang, Xiang, Zhu, Kun
exaly   +2 more sources

BIFURCATIONS OF GENERIC HETEROCLINIC LOOP ACCOMPANIED BY TRANSCRITICAL BIFURCATION

International Journal of Bifurcation and Chaos, 2008
The bifurcations of generic heteroclinic loop with one nonhyperbolic equilibrium p1and one hyperbolic saddle p2are investigated, where p1is assumed to undergo transcritical bifurcation. Firstly, we discuss bifurcations of heteroclinic loop when transcritical bifurcation does not happen, the persistence of heteroclinic loop, the existence of homoclinic ...
Fengjie Geng, Dan Liu, Deming Zhu
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The transcritical bifurcation in absolutely stable feedback systems

2009 European Control Conference (ECC), 2009
The paper gives new conditions for the occurrence of a transcritical bifurcation in a non-negative passive system under non-linear static feedback. In biological systems, this provides a mechanism for defining activation thresholds in positive feedback systems.
Matthias A. Müller 0001, Steffen Waldherr, Frank Allgöwer   +2 more
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Solution and transcritical bifurcation of Burgers equation

Chinese Physics B, 2011
Burgers equation is reduced into a first-order ordinary differential equation by using travelling wave transformation and it has typical bifurcation characteristics. We can obtain many exact solutions of the Burgers equation, discuss its transcritical bifurcation and control dynamical behaviours by extending the stable region.
Jia-Shi Tang, Ming-Hua Zhao, Feng Han, Liang Zhang   +3 more
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Degenerate Transcritical Bifurcation

2014
Along two-dimensional equilibrium manifolds, we expect transcritical points, Chap. 4, to form one-dimensional curves, by the implicit-function theorem. At isolated points, one of the non-degeneracy conditions (4.8, 4.9) may fail and codimension-two singularities appear.
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Control of the saddle-node and transcritical bifurcations

IFAC Proceedings Volumes, 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.
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