Bogdanov–Takens Bifurcation Analysis of a Learning-Process Model
Axioms, 2023 In this paper, as a complement to the works by Monterio and Notargiacomo, we analyze the dynamical behavior of a learning-process model in a case where the system admits a unique interior degenerate equilibrium.
Zhenliang Zhu, Yuxian Guan
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Degenerate Bogdanov–Takens bifurcations in a bulk viscous cosmology [PDF]
European Physical Journal C: Particles and Fields, 2020 Using the dynamical system theory we show that the Friedmann–Robertson–Walker (FRW) cosmological model with bulk viscous fluid in the presence of cosmological constant is equivalent to a degenerate two dimensional Bogdanov–Takens normal form.
Asmaa Abdel Azim +2 more
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Unfolding symmetric Bogdanov-Takens bifurcations for front dynamics in a reaction-diffusion system [PDF]
Journal of Nonlinear Science, 2019 This manuscript extends the analysis of a much studied singularly perturbed three-component reaction-diffusion system for front dynamics in the regime where the essential spectrum is close to the origin.
Chirilus-Bruckner, Martina +3 more
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Bogdanov–Takens Bifurcation in a Shape Memory Alloy Oscillator with Delayed Feedback
Complexity, 2020 This work is focused on a shape memory alloy oscillator with delayed feedback. The main attention is to investigate the Bogdanov–Takens (B-T) bifurcation by choosing feedback parameters A1,2 and time delay τ.
Jinbin Wang, Lifeng Ma
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Bogdanov-Takens bifurcation for neutral functional differential equations
Electronic Journal of Differential Equations, 2013 In this article, we consider a class of neutral functional differential equations (NFDEs). First, some feasible assumptions and algorithms are given for the determination of Bogdanov-Takens (B-T) singularity.
Jianzhi Cao, Rong Yuan
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M-current induced Bogdanov-Takens bifurcation and switching of neuron excitability class. [PDF]
J Math Neurosci, 2021 AbstractIn this work, we consider a general conductance-based neuron model with the inclusion of the acetycholine sensitive, M-current. We study bifurcations in the parameter space consisting of the applied current $I_{app}$ I a p
Al-Darabsah I, Campbell SA.
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Bogdanov-Takens bifurcations in the enzyme-catalyzed reaction comprising a branched network
Mathematical Biosciences and Engineering, 2017 There have been some results on bifurcations of codimension one (such as saddle-node, transcritical, pitchfork) and degenerate Hopf bifurcations for an enzyme-catalyzed reaction system comprising a branched network but no further discussion for ...
Qiuyan Zhang +2 more
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Bogdanov-Takens bifurcation in a neutral BAM neural networks model with delays. [PDF]
IET Syst Biol, 2017 In this study, the authors first discuss the existence of Bogdanov–Takens and triple zero singularity of a five neurons neutral bidirectional associative memory neural networks model with two delays. Then, by utilising the centre manifold reduction and choosing suitable bifurcation parameters, the second‐order and the third‐order normal forms of the ...
Wang R, Liu H, Feng F, Yan F.
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Improved Homoclinic Predictor for Bogdanov–Takens Bifurcation [PDF]
International Journal of Bifurcation and Chaos, 2014 An improved homoclinic predictor at a generic codim 2 Bogdanov–Takens (BT) bifucation is derived. We use the classical "blow-up" technique to reduce the canonical smooth normal form near a generic BT bifurcation to a perturbed Hamiltonian system.
Kuznetsov, Yuri +3 more
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Bogdanov–Takens bifurcation in a predator–prey model [PDF]
Zeitschrift für angewandte Mathematik und Physik, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Zhihua +2 more
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