Results 51 to 60 of about 15,461 (245)
The Kuramoto–Sivashinsky equation. A Local Attractor Filled with Unstable Periodic Solutions
Моделирование и анализ информационных систем, 2018 A periodic boundary value problem is considered for one version of the KuramotoSivashinsky equation, which is widely known in mathematical physics. Local bifurcations in a neighborhood of the spatially homogeneous equilibrium points in the case when they
Anatoli N. Kulikov, Dmitri A. Kulikov
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A New Simple Chaotic System with One Nonlinear Term
Mathematics, 2022 In this research article, a simple four-dimensional (4D) chaotic dynamic system with uncomplicated structure and only one nonlinear term is introduced. The features of the proposed design have been conducted with some standard nonlinear dynamic analysis ...
Yassine Bouteraa +5 more
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Attractor of hydrodynamic attractors
Understanding how hydrodynamics emerges rapidly in the medium produced by relativistic heavy-ion collisions remains a key theoretical challenge. While the attractor solution -- manifesting as a non-thermal fixed point during the early evolution stage -- offers a potential explanation, it does not fully account for how far-from-equilibrium systems ...
Chen, Shile, Shi, Shuzhe
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Molecular bases of circadian magnesium rhythms across eukaryotes
FEBS Letters, EarlyView.Circadian rhythms in intracellular [Mg2+] exist across eukaryotic kingdoms. Central roles for Mg2+ in metabolism suggest that Mg2+ rhythms could regulate daily cellular energy and metabolism. In this Perspective paper, we propose that ancestral prokaryotic transport proteins could be responsible for mediating Mg2+ rhythms and posit a feedback model ...
Helen K. Feord, Gerben van Ooijen
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Diffusion Chaos in Reaction – Diffusion Boundary Problem in the Dumbbell Domain
Моделирование и анализ информационных систем, 2013 We consider a boundary problem of reaction-diffusion type in the domain consisting of two rectangular areas connected by a bridge. The bridge width is a bifurcation parameter of the problem and is changed in such way that the measure of the domain is ...
S. D. Glyzin, P. L. Shokin
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Fractal Analysis and Time Series Application in ZY-4 SEM Micro Fractographies Evaluation
Fractal and Fractional, 2022 SEM microfractographies of Zircaloy-4 are studied by fractal analysis and the time-series method. We first develop a computer application that associates the fractal dimension and lacunarity to each SEM micrograph picture, and produce a nonlinear ...
Maria-Alexandra Paun +2 more
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Heterotic flux attractors [PDF]
Journal of High Energy Physics, 2010 We find attractor equations describing moduli stabilization for heterotic compactifications with generic SU(3)-structure. Complex structure and K hler moduli are treated on equal footing by using SU(3)xSU(3)-structure at intermediate steps. All independent vacuum data, including VEVs of the stabilized moduli, is encoded in a pair of generating ...
Anguelova, Lilia +2 more
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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
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New Journal of Physics, 2019 Although scaling relations of power law forms have been revealed in a wide variety of complex systems, the origin of scaling relations in real systems remains mostly unsolved. Based on a long tradition in physics, we here explore the phase space dynamics
Yuh Kobayashi +3 more
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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
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