Results 11 to 20 of about 794 (149)
On uniqueness of limit cycles in general Bogdanov-Takens bifurcation [PDF]
International Journal of Bifurcation and Chaos, 2018 In this paper we present a complete study to the well-known Bogdanov-Takens bifurcation and give a rigorous proof for the uniqueness of limit ...
Han, Maoan, Yang, Junmin, Llibre, Jaume
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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, Yu A +7 more
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Slow–fast Bogdanov–Takens bifurcations
Journal of Differential Equations, 2011 In this paper we study perturbations from planar vector fields having a line of zeros and representing a singular limit of Bogdanov–Takens (BT) bifurcations.
Dumortier, F. +5 more
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Bogdanov-Takens bifurcation of codimension $3$ in the Gierer-Meinhardt model
International Journal of Bifurcation and Chaos, 2023 Bifurcation of the local Gierer-Meinhardt model is analyzed in this paper. It is found that the degenerate Bogdanov-Takens bifurcation of codimension 3 happens in the model, except that teh saddle-node bifurcation and the Hopf bifurcation.
Yang, Lingling, Wu, Ranchao
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Degenerate Bogdanov–Takens bifurcations in a bulk viscous cosmology [PDF]
The European Physical Journal C, 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.
E. I. Lashin +2 more
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A Note on the Bogdanov–Takens Bifurcation in the Romer Model with Learning by Doing
International Journal of Bifurcation and Chaos, 2017 This paper is aimed at describing the whole set of necessary and sufficient conditions for the emergence of multiple equilibria and global indeterminacy in the standard endogenous growth framework with learning by doing.
Giovanni Bella, BELLA, GIOVANNI
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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.
Lifeng Ma, Jinbin Wang
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Degenerate Bogdanov-Takens bifurcations in a one-dimensional transport model of a fusion plasma [PDF]
Physica D: Nonlinear Phenomena, 2016 Experiments in tokamaks (nuclear fusion reactors) have shown two modes of operation: L-mode and H-mode. Transitions between these two modes have been observed in three types: sharp, smooth and oscillatory.
Mathematical Modeling +5 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.
europepmc +4 more sources
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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