Bifurcation analysis of glucose model with obesity effect
Alexandria Engineering Journal, 2021 Due to the importance of studying the change in glucose which affected by obesity and results in a negative effect on the health of the body, In this paper, glucose metabolism model was developed to study the effect of obesity.
Mahmoud A. Abd-Rabo +3 more
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Zero-Hopf bifurcation in the Van der Pol oscillator with delayed position and velocity feedback [PDF]
, 2014 In this paper, we consider the traditional Van der Pol Oscillator with a forcing dependent on a delay in feedback. The delay is taken to be a nonlinear function of both position and velocity which gives rise to many different types of bifurcations.
Bramburger, Jason +2 more
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Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation [PDF]
, 2006 The saddle-node Hopf bifurcation (SNH) is a generic codimension-two bifurcation of equilibria of vector fields in dimension at least three. It has been identified as an organizing centre in numerous vector field models arising in applications.
Krauskopf, B, Oldeman, BE
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Oscillations and secondary bifurcations in nonlinear magnetoconvection [PDF]
, 1993 Complicated bifurcation structures that appear in nonlinear systems governed by partial differential equations (PDEs) can be explained by studying appropriate low-order amplitude equations.
A. M. Rucklidge +13 more
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Hopf-zero bifurcation of Oregonator oscillator with delay
Advances in Difference Equations, 2018 In this paper, we study the Hopf-zero bifurcation of Oregonator oscillator with delay. The interaction coefficient and time delay are taken as two bifurcation parameters. Firstly, we get the normal form by performing a center manifold reduction and using
Yuting Cai, Liqin Liu, Chunrui Zhang
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Oscillation and convergence behaviors exhibited in an ‘unstable’ second-order digital filter with saturation-type nonlinearity [PDF]
, 2004 This letter explains the oscillatory behaviors exhibited in a second-order digital filter with saturation-type nonlinearity via the Hopf bifurcation theorem.
Ho, Charlotte Yuk-Fan +3 more
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Stability and Bifurcation Analysis in a Class of Two-Neuron Networks with Resonant Bilinear Terms
Abstract and Applied Analysis, 2011 A class of two-neuron networks with resonant bilinear terms is considered. The stability of the zero equilibrium and existence of Hopf bifurcation is studied.
Changjin Xu, Xiaofei He
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Abstract and Applied Analysis, 2014 We consider a predator-prey system with Michaelis-Menten type functional response and two delays. We focus on the case with two unequal and non-zero delays present in the model, study the local stability of the equilibria and the existence of Hopf ...
Yunxian Dai, Yiping Lin, Huitao Zhao
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On the interaction of a system with multifrequency oscillations with a chaotic generator [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purpose of the work: to study the influence of the dynamics of a chaotic system on a system with multi-frequency quasi-periodicity and the Landau-Hopf scenario.
Kuznetsov, Aleksandr Petrovich +1 more
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Spirals and ribbons in counter-rotating Taylor-Couette flow: frequencies from mean flows and heteroclinic orbits [PDF]
, 2019 A number of time-periodic flows have been found to have a property called RZIF: when a linear stability analysis is carried out about the temporal mean (rather than the usual steady state), an eigenvalue is obtained whose Real part is Zero and whose ...
Bengana, Yacine, Tuckerman, Laurette S.
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