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Bogdanov–Takens bifurcation in a predator–prey model [PDF]

Zeitschrift Fur Angewandte Mathematik Und Physik, 2016
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Zhihua Liu, Pierre MAGAL, Dongmei Xiao   +2 more
exaly   +3 more sources

Bogdanov-Takens bifurcation of a polynomialdifferential system in biochemical reaction

Computers and Mathematics With Applications, 2004
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Yilei Tang, Weinian Zhang
exaly   +2 more sources

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Bogdanov–Takens bifurcation in a predator–prey model with age structure

Zeitschrift Fur Angewandte Mathematik Und Physik, 2020
This paper deals with the Bogdanov-Takens bifurcation of a predator-prey model where the predator has an age structure. More precicely the following system is studied: \[\begin{gathered} dU(t)/dt=rU(t)(1-\kappa^{-1}U(t))-A(t)U(t)(\alpha+U(t)^2), \\ \partial_tv(t,a)+\partial_av(t,a)=-Dv(t,a), \\ a\geq 0, \quad v(t,0)=\mu A(t)U(t) \alpha+U(t)^2, \quad t ...
Zhihua Liu, Pierre MAGAL, MAGAL Pierre   +2 more
exaly   +2 more sources

Practical computation of normal forms of the Bogdanov–Takens bifurcation

Nonlinear Dynamics, 2011
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Yao-Lin Jiang
exaly   +2 more sources

Bogdanov–Takens bifurcation in a single inertial neuron model with delay

Neurocomputing, 2012
In this paper, we study a retarded functional differential equation modeling a single neuron with inertial term subject to time delay. Bogdanov-Takens bifurcation is investigated by using center manifold reduction and the normal form method for RFDE.
Chuandong Li, Yonglu Shu
exaly   +2 more sources

Bifurcation Analysis of Bogdanov–Takens Bifurcations in Delay Differential Equations

SIAM Journal on Applied Dynamical Systems
128 pages, 39 ...
Maikel M Bosschaert, Yuri A Kuznetsov
exaly   +6 more sources

Bogdanov–Takens and Hopf Bifurcations Analysis of a Genetic Regulatory Network

Qualitative Theory of Dynamical Systems, 2022
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Ming Liu, Fanwei Meng, Dongpo Hu
openaire   +1 more source

Bogdanov–Takens bifurcation in an oscillator with negative damping and delayed position feedback

Applied Mathematical Modelling, 2013
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Jiao Jiang, Yongli Song
exaly   +2 more sources

Explicit transversality conditions and local bifurcation diagrams for Bogdanov–Takens bifurcation on center manifolds

Physica D: Nonlinear Phenomena, 2019
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Yang Li, Hiroshi Kokubu, Kazuyuki Aihara   +2 more
exaly   +4 more sources

The Bogdanov–Takens bifurcation analysis on a three dimensional recurrent neural network

Neurocomputing, 2010
A class of recurrent neural networks is investigated in the vicinity of the Bogdanov-Takens bifurcation point in the parameter space when the slope of the transfer function of the neurons at the origin is not equal to one. It will be shown that two different bifurcation diagrams can be constructed. In each bifurcation diagram, there are critical values
Farzaneh Maleki, Amirhossein Hajihosseini   +1 more
exaly   +2 more sources