Results 11 to 20 of about 564,884 (264)
COVID-19: From Limit Cycle to Stable Focus
Mathematics, 2023 The study aims at investigating a new fundamental property of infectious diseases with natural adaptive immunity that weakens over time—qualitative change (bifurcation) in the behavior of the “virus vs.
Alexander Sokolov, Vladimir Voloshinov
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The Astrophysical JournalEnceladus exhibits some remarkable phenomena, including water geysers spraying through surface cracks, a global ice shell that is librating atop an ocean, a large luminosity, and rapid outward orbital migration.
Peter Goldreich +2 more
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Is the circadian clock a limit cycle oscillator? [PDF]
BMC Neuroscience, 2011 Meijer Johanna H, Rohling Jos
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The Cell Cycle is a Limit Cycle [PDF]
Mathematical Modelling of Natural Phenomena, 2012 Progression along the successive phases of the mammalian cell cycle is driven by a network of cyclin-dependent kinases (Cdks). This network is regulated by a variety of negative and positive feedback loops. We previously proposed a detailed, 39-variable model for the Cdk network and showed that it is capable of temporal self-organization in the form of
Gérard, Claude, Goldbeter, Albert
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On generation of a limit cycle from a separatrix loop of a sewn saddle-node [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022 The article considers dynamical systems on the plane, defined by continuous piecewise smooth vector fields. Such systems are used as mathematical models of real processes with switching.
Roitenberg, Vladimir Shleymovich
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Harmonic Compensation by Limit Cycle Model Predictive Control
IEEE Access, 2021 This work develops a novel limit cycle model predictive controller aimed at harmonic compensation. The proposed nonlinear controller embeds the dynamics of a circular limit cycle of a supercritical Neimark-Sacker normal form directly into its cost ...
Carlos Cateriano Yanez +3 more
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On the non existence of periodic orbits for a class of two dimensional Kolmogorov systems [PDF]
E-Journal of Analysis and Applied Mathematics, 2021 In this paper we characterize the integrability and the non-existence of limit cycles of Kolmogorov systems of the form $$ x^{\prime}=x\left(B_{1}(x,y)\, \ln \left| \frac{A_{3}(x,y)}{A_{4}(x,y)}\right| + B_{3}(x,y)\ln \left| \frac{A_{1}(x,y)}{A_{2}(x,y)}\
Rachid Boukoucha
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Chemical Systems with Limit Cycles
Bulletin of Mathematical Biology, 2023 AbstractThe dynamics of a chemical reaction network (CRN) is often modeled under the assumption of mass action kinetics by a system of ordinary differential equations (ODEs) with polynomial right-hand sides that describe the time evolution of concentrations of chemical species involved. Given an arbitrarily large integer $$K \in {\mathbb N}$$
Radek Erban, Hye-Won Kang
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Phase reduction of strongly coupled limit-cycle oscillators
Physical Review Research, 2022 The phase reduction method has played a key role in the theoretical and experimental analysis of synchronization dynamics of coupled oscillators, but its applicability is limited to the case of weak coupling.
Wataru Kurebayashi +3 more
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Pomeranchuk 100, 2014 In this review we consider the concept of limit cycles in the renormalization group flows. The examples of this phenomena in the quantum mechanics and field theory will be presented.
Bulycheva, K., Gorsky, A.
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