Equilibria and Bogdanov-Takens Bifurcation Analysis in the Bazykin’s Predator-Prey System
Discrete Dynamics in Nature and Society, 2022 In the paper, we proposed a Bazykin’s predator-prey system to explore the equilibrium point and Bogdanov-Takens bifurcation problems. Firstly, we derived some key parameter threshold conditions to ensure that the Bazykin’s predator-prey system had a ...
Shuangte Wang, Hengguo Yu
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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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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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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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Self-organized criticality in a mesoscopic model of excitatory-inhibitory neuronal populations by short-term and long-term synaptic plasticity [PDF]
Frontiers in Computational Neuroscience, 2022 Dynamics of an interconnected population of excitatory and inhibitory spiking neurons wandering around a Bogdanov-Takens (BT) bifurcation point can generate the observed scale-free avalanches at the population level and the highly variable spike patterns
Masud Ehsani, Jürgen Jost, Jürgen Jost
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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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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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Modelling and Simulation in Engineering, 2023 Acetyl chloride hydrolysis is a highly sensitive exothermic reaction that has presented several industrial safety issues. In the present study, a multiparameter mathematical model, previously developed and applied to simulate the oscillatory thermal ...
Juan Carlos Ojeda Toro +2 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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Sensorless anti-control and synchronization of chaos of brushless DC motor driver [PDF]
Scientific ReportsAnti-control and synchronization of period doubling and chaos is a method for bifurcation control. It can be used to detect the occurrence or periodic behavior of a bifurcation at the specified position to meet the requirements of brushless direct ...
Wahid Souhail, Hedi Khammari
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