Results 31 to 40 of about 64,085 (304)

Control Hopf Bifurcations Based on Center Manifold

open access: yes, 2011
The stabilization problem of nonlinear systems with Hopf bifurcations is studied in this paper. The link between a feedback law and a center manifold is obtained.
Xiu Shan Cai, Yun Shi Xiao, Geng Jun Zhu
core   +1 more source

Normal forms for retarded functional differential equations associated with zero-double-Hopf singularity with $1:1$ resonance

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
This manuscript introduces a framework that focuses on the singularity of a zero-double-Hopf system with $1:1$ resonance in general retarded differential equations (RDDs).
Houssem Achouri
doaj   +1 more source

Asymptotic Integration of Certain Differential Equations in Banach Space

open access: yesМоделирование и анализ информационных систем, 2017
We investigate the problem of constructing the asymptotics for weak solutions of certain class of linear differential equations in the Banach space as the independent variable tends to infinity.
Pavel N. Nesterov
doaj   +1 more source

The Stochastic Hopf Bifurcation and Vibrational Response of a Double Pendulum System Under Delayed Feedback Control

open access: yesMathematics
In this paper, we investigate the nonlinear dynamic behavior of a cart–double pendulum system with single time delay feedback control. Based on the center manifold theorem and stochastic averaging method, a reduced-order dynamic model of the system is ...
Ruichen Qi   +3 more
doaj   +1 more source

Local center manifold for parabolic equations with infinite delay [PDF]

open access: yes, 1993
summary:The existence and attractivity of a local center manifold for fully nonlinear parabolic equation with infinite delay is proved with help of a solutions semigroup constructed on the space of initial conditions.
Petzeltová, Hana
core   +1 more source

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

open access: yesFEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe   +3 more
wiley   +1 more source

The Center Conditions and Bifurcation of Limit Cycles at the Degenerate Singularity of a Three-Dimensional System

open access: yesJournal of Applied Mathematics, 2014
We investigate multiple limit cycles bifurcation and center-focus problem of the degenerate equilibrium for a three-dimensional system. By applying the method of symbolic computation, we obtain the first four quasi-Lyapunov constants.
Shugang Song   +2 more
doaj   +1 more source

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

open access: yesFEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li   +2 more
wiley   +1 more source

Simple-Zero and Double-Zero Singularities of a Kaldor-Kalecki Model of Business Cycles with Delay

open access: yesDiscrete Dynamics in Nature and Society, 2009
We study the Kaldor-Kalecki model of business cycles with delay in both the gross product and the capital stock. Simple-zero and double-zero singularities are investigated when bifurcation parameters change near certain critical values.
Xiaoqin P. Wu
doaj   +1 more source

Homoclinic orbit to a center manifold

open access: yes, 2003
International audienceHomoclinic orbit to a center manifold are obtained with a variational ...
Bernard, Patrick
core   +1 more source

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