Global search metaheuristics for neural mass model calibration
Dunstan DM +3 more
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Bogdanov Map for Modelling a Phase-Conjugated Ring Resonator. [PDF]
Aboites V +3 more
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Mixed-mode oscillations in a three-timescale coupled Morris-Lecar system. [PDF]
Phan NA, Wang Y.
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The Na+/K+-ATPase generically enables deterministic bursting in class I neurons by shearing the spike-onset bifurcation structure. [PDF]
Behbood M +3 more
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Stability Analysis of a Nonautonomous Diffusive Predator-Prey Model with Disease in the Prey and Beddington-DeAngelis Functional Response. [PDF]
Zhang Y, Jiang T, Wang C, Shang Q.
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Practical computation of normal forms of the Bogdanov–Takens bifurcation
Nonlinear Dynamics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peng, Guojun, Jiang, Yaolin
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Bogdanov–Takens bifurcation in a predator–prey model with age structure
Zeitschrift für angewandte Mathematik und Physik, 2020This 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 ...
Liu, Zhihua, Magal, Pierre
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Bogdanov–Takens bifurcation in a single inertial neuron model with delay
Neurocomputing, 2012In 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.
Xing He, Chuandong Li, Yonglu Shu
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The Bogdanov–Takens bifurcation analysis on a three dimensional recurrent neural network
Neurocomputing, 2010A 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 +3 more
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Bogdanov–Takens and Hopf Bifurcations Analysis of a Genetic Regulatory Network
Qualitative Theory of Dynamical Systems, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ming Liu, Fanwei Meng, Dongpo Hu
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