Results 11 to 20 of about 337 (161)
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
doaj +2 more sources
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
doaj +3 more sources
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
doaj +2 more sources
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
doaj +3 more sources
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +2 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
doaj +2 more sources
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.
europepmc +7 more sources
Degenerated Bogdanov-Takens bifurcations in an immuno-tumor model
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2009 A mathematical immuno-tumor model proposed by A. Kavaliauskas [Nonlinear Anal. Model. Control 8, 55 (2003)] and consisting of a Cauchy problem for a system of two first-order ordinary differential equations is studied.
Mariana P. Trifan, Adelina Georgescu
doaj +3 more sources