Results 61 to 70 of about 65,659 (224)
SIMPLEST NORMAL FORMS OF HOPF AND GENERALIZED HOPF BIFURCATIONS
, 1999 The normal forms of Hopf and generalized Hopf bifurcations have been extensively studied, and obtained using the method of normal form theory and many other different approaches.
P. YU
core +1 more source
Analysis of a quadratic system obtained from a scalar third order differential equation
Electronic Journal of Differential Equations, 2010 In this article, we study the nonlinear dynamics of a quadratic system in the three dimensional space which can be obtained from a scalar third order differential equation.
Fabio Scalco Dias, Luis Fernando Mello
doaj
Dynamics of an eco-epidemic model with Allee effect in prey and disease in predator
Computational and Mathematical Biophysics, 2023 In this work, the dynamics of a food chain model with disease in the predator and the Allee effect in the prey have been investigated. The model also incorporates a Holling type-III functional response, accounting for both disease transmission and ...
Kumar Bipin, Sinha Rajesh Kumar
doaj +1 more source
ChemSystemsChem, Volume 8, Issue 5, September 2026.A closed chemo‐mechanical feedback system is constructed using a GOx/urease core–shell hydrogel with pH‐responsive microcapsules. Proton generation triggers urea release, activating urease and restoring pH, resulting in autonomous swelling–deswelling oscillations.
Shohei Shinbo +3 more
wiley +1 more source
Parametric Resonance of Hopf Bifurcation [PDF]
Nonlinear Dynamics, 2005 We investigate the dynamics of a system consisting of a simple, harmonic oscillator with small nonlinearity, small damping and small parametric forcing in the neighborhood of 2:1 resonance. We assume that the unforced system exhibits the birth of a stable limit cycle as the damping changes sign from positive to negative (a supercritical Hopf ...
Rand, Richard +2 more
openaire +1 more source
Journal of Neuroendocrinology, Volume 38, Issue 9, September 2026.Abstract The hypothalamic–pituitary–adrenal (HPA) axis is a vital neuroendocrine system that maintains homeostasis by regulating stress hormone secretion through tightly controlled circadian and ultradian rhythms. Although rodent studies and mathematical models have clarified the mechanisms of ultradian pulsatility, a quantitative, human‐specific ...
Belinda Lombard +7 more
wiley +1 more source
Detection of tertiary Hopf bifurcations arising from mode interactions
, 1997 In the unfolding of a mode interaction, in addition to the primary bifurcations, there are also secondary bifurcations which occur on the primary branches giving rise to mixed mode solutions.
Aston, P. J., Amdjadi, F.
core +1 more source
On the nonautonomous Hopf bifurcation problem [PDF]
Discrete and Continuous Dynamical Systems - S, 2016 Consider the two-dimensional system \[ \frac{dx}{dt}=f(x,\epsilon), \] where \(f(0,\epsilon)=0\). In the supercritical Andronov-Hopf theory, one imposes conditions to ensure that \(x=0\) is an exponentially asymptotically stable equilibrium point for \(\epsilon < 0\), and for small positive \(\epsilon\), there is an exponentially asymptotically stable ...
FRANCA, MATTEO +2 more
openaire +3 more sources
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT We show that the removal of a type of reverse reactions preserves the absence of Hopf bifurcations in mass‐action reaction networks, or more precisely, the absence of single pairs of purely imaginary eigenvalues of the Jacobian of the system. The motivation is to answer the open question of whether the dual phosphorylation mechanism requiring ...
Elisenda Feliu, Nidhi Kaihnsa
wiley +1 more source
Discrete Dynamics in Nature and Society, 2006 We consider a simplified bidirectional associated memory (BAM) neural network model with four neurons and multiple time delays. The global existence of periodic solutions bifurcating from Hopf bifurcations is investigated by applying the global Hopf ...
Xiang-Ping Yan, Wan-Tong Li
doaj +2 more sources