Results 111 to 120 of about 1,893 (192)

Bogdanov-Takens bifurcation

Scholarpedia, 2007
Yuri Kuznetsov, John Guckenheimer
openaire   +1 more source

Dynamics of a state-dependent delay-differential equation

Electronic Journal of Qualitative Theory of Differential Equations
We present a detailed study of a scalar differential equation with threshold state-dependent delayed feedback. This equation arises as a simplification of a gene regulatory model.
Tomas Gedeon, Antony Humphries, Michael Mackey, Hans-Otto Walther, Zhao Wang   +4 more
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

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

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
doaj   +1 more source

An efficient solution procedure for solving higher-codimension Hopf and Bogdanov–Takens bifurcations

Communications in Nonlinear Science and Numerical Simulation
In solving real world systems for higher-codimension bifurcation problems, one often faces the difficulty in computing the normal form or the focus values associated with generalized Hopf bifurcation, and the normal form with unfolding for higher-codimension Bogdanov-Takens bifurcation.
Zeng, Bing, Yu, Pei, Han, Maoan
openaire   +3 more sources

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

Autophosphorylation and the Dynamics of the Activation of Lck. [PDF]

Bull Math Biol, 2021
Kreusser LM, Rendall AD.
europepmc   +1 more source