Results 31 to 40 of about 64,085 (304)
Control Hopf Bifurcations Based on Center Manifold
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
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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
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Asymptotic Integration of Certain Differential Equations in Banach Space
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
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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
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Local center manifold for parabolic equations with infinite delay [PDF]
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
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Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
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
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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
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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
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
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Homoclinic orbit to a center manifold
International audienceHomoclinic orbit to a center manifold are obtained with a variational ...
Bernard, Patrick
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