Results 101 to 110 of about 228,096 (272)
On degenerate planar Hopf bifurcations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2011 Our concern is the study of degenerate Hopf bifurcation of smooth planar dynamical systems near isolated singular points. To do so, we propose to split up the definition of degeneracy into two types. Degeneracy of first kind shall means that no limit cycle surrounding the steady state can emerge after or before the critical point, with the possible ...
openaire +2 more sources
Empirical assessment of bifurcation regions within new Keynesian models [PDF]
As is well known in systems theory, the parameter space of most dynamic models is stratified into subsets, each of which supports a different kind of dynamic solution.
Barnett, William A., Duzhak, Evgeniya A.
core +4 more sources
Bifurcation of a Microelectromechanical Nonlinear Coupling System with Delay Feedback
Journal of Applied Mathematics, 2014 The dynamics of a kind of electromechanical coupling deformable micromirror device torsion micromirror with delay are investigated. Based on the distribution of eigenvalues, we prove that a sequence of Hopf bifurcation occurs at the equilibrium as the ...
Yanqiu Li +3 more
doaj +1 more source
Advances in Differential Equations, 2017 This paper considers a class of fractional-order complex-valued Hopfield neural networks (CVHNNs) with time delay for analyzing the dynamic behaviors such as local asymptotic stability and Hopf bifurcation.
R. Rakkiyappan +4 more
semanticscholar +1 more source
Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling
Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10533-10543, 15 July 2025.ABSTRACT Integro‐differential equations (IDE) have been applied in a variety of areas of research, including epidemiology. Recently, IDE systems were applied to study dengue fever transmission dynamics at the population level. In this study, we extend the approach presented in a previous study for describing the epidemiological model of dengue fever ...
A. Domoshnitsky +3 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10550-10570, 15 July 2025.ABSTRACT Bacteriophages, or phages (viruses of bacteria), play significant roles in shaping the diversity of bacterial communities within the human gut. A phage‐infected bacterial cell can either immediately undergo lysis (virulent/lytic infection) or enter a stable state within the host as a prophage (lysogeny) until a trigger event, called prophage ...
Hyacinthe M. Ndongmo Teytsa +3 more
wiley +1 more source
Stability and Hopf bifurcation on an SEIR delayed model with logistic growth [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2018 This paper investigates the stability and Hopf bifurcation of SEIR delay model with logistic growth. Firstly, the existence and uniqueness of equilibrium point are analyzed.
Aekabut Sirijampa +2 more
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Journal of Geophysical Research: Atmospheres, Volume 130, Issue 12, 28 June 2025.Abstract Aerosols exert a net cooling effect on the climate system by reflecting solar radiation, both directly and indirectly through their role in cloud formation, known as aerosol‐cloud interactions. The multiscale nature of aerosol‐cloud interactions, and especially their mesoscale adjustments and associated challenges for their representation in ...
Meiling Cheng, Franziska Glassmeier
wiley +1 more source
Bifurcation of a Cohen-Grossberg Neural Network with Discrete Delays
Abstract and Applied Analysis, 2012 A simple Cohen-Grossberg neural network with discrete delays is investigated in this paper. The existence of local Hopf bifurcations is first considered by choosing the appropriate bifurcation parameter, and then explicit formulas are given to determine ...
Qiming Liu, Wang Zheng
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Edge of Chaos Theory Unveils the First and Simplest Ever Reported Hodgkin–Huxley Neuristor
Advanced Electronic Materials, Volume 11, Issue 8, June 2025.This manuscript presents the first and simplest ever‐reported electrical cell, which leverages one memristor on Edge of Chaos to reproduce the three‐bifurcation cascade, marking the entire life cycle from birth to extinction via All‐to‐None effect of an electrical spike, also referred to as Action Potential, across axon membranes under monotonic ...
Alon Ascoli +12 more
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