Results 11 to 20 of about 26,882 (236)

Are physiological oscillations physiological?

open access: yesThe Journal of Physiology, EarlyView., 2023
Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley   +1 more source

Hopf Bifurcation, Hopf-Hopf Bifurcation, and Period-Doubling Bifurcation in a Four-Species Food Web [PDF]

open access: yesMathematical Problems in Engineering, 2018
Complex dynamics of a four-species food web with two preys, one middle predator, and one top predator are investigated. Via the method of Jacobian matrix, the stability of coexisting equilibrium for all populations is determined. Based on this equilibrium, three bifurcations, i.e., Hopf bifurcation, Hopf-Hopf bifurcation, and period-doubling ...
Huayong Zhang   +5 more
openaire   +1 more source

Zero-Hopf bifurcation and Hopf bifurcation for smooth Chua’s system [PDF]

open access: yesAdvances in Difference Equations, 2018
Abstract Based on the fact that Chua’s system is a classic model system of electronic circuits, we first present modified Chua’s system with a smooth nonlinearity, described by a cubic polynomial in this paper. Then, we explore the distribution of the equilibrium points of the modified Chua circuit system.
Yebei Liu, Junze Li, Zhouchao Wei
openaire   +3 more sources

Stability and Hopf bifurcation analysis of a fractional-order ring-hub structure neural network with delays under parameters delay feedback control

open access: yesMathematical Biosciences and Engineering, 2023
In this paper, a fractional-order two delays neural network with ring-hub structure is investigated. Firstly, the stability and the existence of Hopf bifurcation of proposed system are obtained by taking the sum of two delays as the bifurcation parameter.
Yuan Ma, Yunxian Dai
doaj   +1 more source

Global dynamics of an immunosuppressive infection model with stage structure

open access: yesMathematical Biosciences and Engineering, 2020
In this paper, we propose an immunosuppressive infection model incorporating natural mortality of immune cells during the time lag needed for the expansion of immune cells.
Hongying Shu, Zenghui Hao
doaj   +1 more source

Equivalent dimensionality reduction method of doubly‐fed induction generator model and discrimination of Hopf bifurcation type

open access: yesEnergy Science & Engineering, 2023
The strong coupling, multivariate, and nonlinear characteristics of the mathematical model of a doubly‐fed induction generator (DFIG) make it challenging to analyze the bifurcation category of the DFIG. Therefore, in this study, we developed a method for
Wei Chen   +4 more
doaj   +1 more source

Bifurcation phenomena in a single-species reaction-diffusion model with spatiotemporal delay

open access: yesAIMS Mathematics, 2021
In this paper we investigate bifurcation phenomena in a single-species reaction-diffusion model with spatiotemporal delay under the conditions of the weak and strong kernel functions.
Gaoxiang Yang, Xiaoyu Li
doaj   +1 more source

Hamiltonian Hopf Bifurcation with Symmetry [PDF]

open access: yesArchive for Rational Mechanics and Analysis, 2002
35 pages, 3 ...
Chossat, Pascal   +2 more
openaire   +5 more sources

On the nonautonomous Hopf bifurcation problem [PDF]

open access: yesDiscrete & Continuous Dynamical Systems - S, 2016
Under well-known conditions, a one-parameter family of two-dimensional, autonomous ordinary differential equations admits a supercritical\break Andronov-Hopf bifurcation. Let such a family be perturbed by a non-autonomous term. We analyze the sense in which and some conditions under which the Andronov-Hopf pattern persists under such a perturbation.
FRANCA, MATTEO   +2 more
openaire   +3 more sources

Comparative exploration on bifurcation behavior for integer-order and fractional-order delayed BAM neural networks

open access: yesNonlinear Analysis, 2022
In the present study, we deal with the stability and the onset of Hopf bifurcation of two type delayed BAM neural networks (integer-order case and fractional-order case).
Changjin Xu   +7 more
doaj   +1 more source

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