Results 51 to 60 of about 121,229 (179)

Analysis of pattern dynamics for a nonlinear model of the human cortex via bifurcation theories [PDF]

open access: yes, 2014
This thesis examines the bifurcations, i.e., the emergent behaviours, for the Waikato cortical model under the influence of the gap-junction inhibitory diffusion D₂ (identified as the Turing bifurcation parameter) and the time-to-peak for hyperpolarising
Wang, Kaier
core  

Regulation of ultradian pulsatility and stress responses in the human hypothalamic–pituitary–adrenal axis

open access: yesJournal 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

Hopf bifurcation and stability analysis for a delayed logistic equation with additive Allee effect [PDF]

open access: yes, 2015
In this paper the linear stability of the delayed logistic equation with additive Allee effect is investigated. We also analyze the associated characteristic transcendental equation, to show the occurrence of Hopf bifurcation at the positive equilibrium.
E.M. Elabbasy, Waleed A.I. Elmorsi
core  

Symmetry Bifurcation and Chaos of the Poincaré Map, in a Three degree-of-freedom Vibro impact System

open access: yes工程科学与技术, 2008
:A three degree-of-freedom vibro impact system with symmetric constraining stops is considered. The Poincaré map of the system is established, and the symmetry of the Poincaré map is derived in detail. The theory of bifurcation of fixed points is applied
乐源, 谢建华
doaj  

Bifurcation Analysis of a Lotka-Volterra Mutualistic System with Multiple Delays

open access: yesAbstract and Applied Analysis, 2014
A class of Lotka-Volterra mutualistic system with time delays of benefit and feedback delays is introduced. By analyzing the associated characteristic equation, the local stability of the positive equilibrium and existence of Hopf bifurcation are ...
Xin-You Meng, Hai-Feng Huo
doaj   +1 more source

Network Reduction and Absence of Hopf Bifurcations in Dual Phosphorylation Networks With Three Intermediates

open access: yesStudies 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

Wave propagation in the Lorenz-96 model [PDF]

open access: yesNonlinear Processes in Geophysics, 2018
In this paper we study the spatiotemporal properties of waves in the Lorenz-96 model and their dependence on the dimension parameter n and the forcing parameter F.
D. L. van Kekem, A. E. Sterk
doaj   +1 more source

Nonamenable subforests of multi‐ended quasi‐pmp graphs

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.
Abstract We prove the a.e. nonamenability of locally finite quasi‐pmp Borel graphs whose every component admits at least three nonvanishing ends with respect to the underlying Radon–Nikodym cocycle. We witness their nonamenability by constructing Borel subforests with at least three nonvanishing ends per component, and then applying Tserunyan and ...
Ruiyuan Chen   +2 more
wiley   +1 more source

Oscillators Near Hopf Bifurcation

open access: yes, 2015
In this paper the differential transformation method (DTM) is employed to solve a system of linear differential equations derived for energy optimal control theory and nonlinear differential equations and their systems for oscillators near Hopf ...
Tongxing Li, Helena Samajova
core   +1 more source

Degenerate Hopf bifurcation in a Leslie–Gower predator–prey model with predator harvest

open access: yesAdvances in Difference Equations, 2020
In this paper, we investigate the degenerate Hopf bifurcation of a Leslie–Gower predator–prey system with predator harvest. The known work discussed the Hopf bifurcation of this system when the first Lyapunov number does not vanish and gave an example of
Juan Su
doaj   +1 more source

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