Results 51 to 60 of about 99,559 (165)
Bifurcation analysis of surge and rotating stall in the Moore-Greitzer compression system [PDF]
, 2002 A simple compression system model, described by a set of three ordinary nonlinear differential equations (the Moore-Greitzer model) is studied using bifurcation analysis to give a qualitative understanding of the presence of surge and rotating stall ...
Kullmann, L, Champneys, AR, Hos, C
core
On uniqueness of limit cycles in general Bogdanov-Takens bifurcation
, 2021 In this paper we present a complete study to the well-known Bogdanov-Takens bifurcation and give a rigorous proof for the uniqueness of limit ...
Han, Maoan, Yang, Junmin, Llibre, Jaume
core
Degenerate Bogdanov-Takens bifurcations in a one-dimensional transport model of a fusion plasma [PDF]
, 2016 Experiments in tokamaks (nuclear fusion reactors) have shown two modes of operation: L-mode and H-mode. Transitions between these two modes have been observed in three types: sharp, smooth and oscillatory.
Kuznetsov, Y. A. +8 more
core +3 more sources
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.This study illustrates selective and combined harvesting efforts to examine the existence of hydra effect and global MSTY (maximum sustainable total yield) in a generalist predator–prey mathematical model with general Holling type response functions. The hydra effect is an ecological paradox in which a species’ population size increases in response to ...
Solomon Molla Alemu +3 more
wiley +1 more source
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In an ecological point of view, fears from predator cause physiological changes of prey population and these physiological changes may reduce the reproduction of prey. This paper deals with studying the effect of fear that is incorporated in the growth rate of prey on the dynamics of a delay ecological model consisting of two logistically growing prey ...
Hersh Aziz Mohammed +2 more
wiley +1 more source
Bifurcation Analysis of an SIR Epidemic Model with the Contact Transmission Function
Abstract and Applied Analysis, 2014 We consider an SIR endemic model in which the contact transmission function is related to the number of infected population. By theoretical analysis, it is shown that the model exhibits the bistability and undergoes saddle-node bifurcation, the Hopf ...
Guihua Li, Gaofeng Li
doaj +1 more source
Péclet‐Number‐Dependent Longitudinal Dispersion in Discrete Fracture Networks
Water Resources Research, Volume 60, Issue 12, December 2024.Abstract Dispersion in fractured media impacts many environmental and geomechanical practices. It is mainly controlled by the structure of fracture networks and the Péclet number (Pe) $(Pe)$, but predicting it remains challenging. In this study, numerous three‐dimensional stochastic discrete fracture networks (DFNs) were generated, where the density ...
Tingchang Yin +3 more
wiley +1 more source
Bifurcation Behavior Analysis in a Predator-Prey Model
Discrete Dynamics in Nature and Society, 2016 A predator-prey model is studied mathematically and numerically. The aim is to explore how some key factors influence dynamic evolutionary mechanism of steady conversion and bifurcation behavior in predator-prey model.
Nan Wang +5 more
doaj +1 more source
The Bogdanov–Takens Normal Form: A Minimal Model for Single Neuron Dynamics
Entropy, 2015 Conductance-based (CB) models are a class of high dimensional dynamical systems derived from biophysical principles to describe in detail the electrical dynamics of single neurons.
Ulises Pereira +2 more
doaj +1 more source
Structural obstruction to the simplicity of the eigenvalue zero in chemical reaction networks
Mathematical Methods in the Applied Sciences, Volume 47, Issue 4, Page 2993-3006, 15 March 2024.Multistationarity is the property of a system to exhibit two distinct equilibria (steady‐states) under otherwise identical conditions, and it is a phenomenon of recognized importance for biochemical systems. Multistationarity may appear in the parameter space as a consequence of saddle‐node bifurcations, which necessarily require an algebraically ...
Nicola Vassena
wiley +1 more source