Results 101 to 110 of about 806 (167)

Periodic orbits and chaos in fast–slow systems with Bogdanov–Takens type fold points

, 2011
The existence of stable periodic orbits and chaotic invariant sets of singularly perturbed problems of fast–slow type having Bogdanov–Takens bifurcation points in its fast subsystem is proved by means of the geometric singular perturbation method and the
Hayato Chiba, Chiba, Hayato
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Bifurcation analysis of a Leslie-type predator–prey system with prey harvesting and group defense

Frontiers in Physics
In this paper, we investigate a Leslie-type predator–prey model that incorporates prey harvesting and group defense, leading to a modified functional response.
Yongxin Zhang, Jianfeng Luo
doaj   +1 more source

Bifurcation analysis of the predator-prey model with the Allee effect in the predator. [PDF]

J Math Biol, 2021
Sen D, Ghorai S, Banerjee M, Morozov A.
europepmc   +1 more source

Nondegeneracy of hope points emanating from a Z2-symmetry-breaking Takens-Bogdanov point

, 1993
We consider the Hopf points emanating from Takens-Bogdanov points of non-linear systems with Z2-symmetry. Conditions for the nondegeneracy of the Hopt points are deduced.
Wei Wu, Wu, Wei
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Nonlinear Dynamical Analysis of a Diffusion-Driven Bacterial Density Model: Integrability and Bifurcation Analysis

Mathematics
This work investigates the dynamical properties of the Kolmogorov–Petrovskii–Piskunov (KPP) equation. We begin by establishing its non-integrability through the Painlevé test.
Adel Elmandouh
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Bogdanov-Takens bifurcation in a neutral BAM neural networks model with delays. [PDF]

IET Syst Biol, 2017
Wang R, Liu H, Feng F, Yan F.
europepmc   +1 more source

Cell cycle oscillations driven by two interlinked bistable switches. [PDF]

Mol Biol Cell, 2023
Parra-Rivas P, Ruiz-Reynés D, Gelens L.
europepmc   +1 more source

Bidirectionally Regulating Gamma Oscillations in Wilson-Cowan Model by Self-Feedback Loops: A Computational Study. [PDF]

Front Syst Neurosci, 2022
Li X, Li Z, Yang W, Wu Z, Wang J.
europepmc   +1 more source

Scale free avalanches in excitatory-inhibitory populations of spiking neurons with conductance based synaptic currents. [PDF]

J Comput Neurosci, 2023
Ehsani M, Jost J.
europepmc   +1 more source

Hopf–Bogdanov–Takens Bifurcation for Neutral Functional Differential Equations

International audienceThis article explores the process of computing normal form related to a codimension-three Hopf–Bogdanov–Takens (H–B–T) bifurcation in the framework of neutral functional differential equations.
Achouri, Houssem
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