Results 71 to 80 of about 5,259,770 (378)
Discrete Dynamics in Nature and Society, 2015 We consider the existence and properties of the global attractor for a class of reaction-diffusion equation ∂u/∂t-Δu-u+κ(x)|u|p-2u+f(u)=0, in Rn×R+; u(x,0)=u0(x), in Rn.
Jin Zhang, Chengkui Zhong
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Disordered but rhythmic—the role of intrinsic protein disorder in eukaryotic circadian timing
FEBS Letters, EarlyView.Unstructured domains known as intrinsically disordered regions (IDRs) are present in nearly every part of the eukaryotic core circadian oscillator. IDRs enable many diverse inter‐ and intramolecular interactions that support clock function. IDR conformations are highly tunable by post‐translational modifications and environmental conditions, which ...
Emery T. Usher, Jacqueline F. Pelham
wiley +1 more source
Topology of global attractors for homeomorphisms with the topological shadowing property in $\mathbb{R}^m$ [PDF]
, 2023 Gonzalo Cousillas
openalex +1 more source
, 2005 We derive upper bounds for the number of asymptotic degrees (determining modes and nodes) of freedom for the two-dimensional Navier--Stokes system and Navier-Stokes system with damping.
Ilyin, Alexei A., Titi, Edriss S.
core +1 more source
Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
FEBS 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
Journal of Optimization, Differential Equations and Their ApplicationsWe investigate global resolvability and stability of attractors for parabolic inclusion with multi-valued interaction function of reaction-diffusion type and non-autonomous disturbances.
Oleksiy V. Kapustyan +3 more
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Intrinsic strong shape of global attractors
Filomat, 2022 We present a proof of the strong shape theorem for global attractors in compact metric spaces using the intrinsic approach to strong shape from [18] which combines continuity over a covering and the corresponding homotopies of second order.
Nikita Shekutkovski, Martin Shoptrajanov
openaire +1 more source
Time after time – circadian clocks through the lens of oscillator theory
FEBS Letters, EarlyView.Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
wiley +1 more source
Intermingled basins in coupled Lorenz systems
, 2012 We consider a system of two identical linearly coupled Lorenz oscillators, presenting synchro- nization of chaotic motion for a specified range of the coupling strength. We verify the existence of global synchronization and antisynchronization attractors
A. Pikowsky +5 more
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Structure and regularity of the global attractor of a reaction-di{\S}usion equation with non-smooth nonlinear term [PDF]
, 2012 In this paper we study the structure of the global attractor for a reaction- di{\S}usion equation in which uniqueness of the Cauchy problem is not guarantied.
O. Kapustyan, P. Kasyanov, J. Valero
semanticscholar +1 more source