Rapidly Oscillating Systems on the Plane: Weak Resonances and Asymptotic Control
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2020.12.1631
Abstract: Abstract Rapidly Oscillating Systems (ROS) is a class of perturbed dynamical systems with a small parameter that contains oscillating part with the period proportional to the parameter. These include a lot of classical perturbed systems… read more here.
Keywords: asymptotic control; rapidly oscillating; non classical; classical ros ... See more keywords
Rapidly oscillating solutions of a generalized Korteweg–de Vries equation
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DOI: 10.1134/s0965542517110082
Abstract: For a generalized Korteweg–de Vries equation, the existence of families of rapidly oscillating periodic solutions is proved and their asymptotic representation is found. The asymptotics of tori of different dimensions are examined. Formulas for solutions… read more here.
Keywords: generalized korteweg; solutions generalized; rapidly oscillating; korteweg vries ... See more keywords
Influence of rapidly oscillating inspired O2 and N2 concentrations on pulmonary vascular function and lung fluid balance in healthy adults
Sign Up to like & getrecommendations! Published in 2022 at "Frontiers in Physiology"
DOI: 10.3389/fphys.2022.1018057
Abstract: Introduction: Aircrew may experience rapidly oscillating inspired O2/N2 ratios owing to fluctuations in the on-board oxygen delivery systems (OBOG). Recent investigations suggest these oscillations may contribute to the constellation of physiologic events in aircrew of… read more here.
Keywords: rapidly oscillating; lung fluid; physiology; pulmonary vascular ... See more keywords
Regularized Asymptotic Solutions of a Singularly Perturbed Fredholm Equation with a Rapidly Varying Kernel and a Rapidly Oscillating Inhomogeneity
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DOI: 10.3390/axioms11030141
Abstract: This article investigates an equation with a rapidly oscillating inhomogeneity and with a rapidly decreasing kernel of an integral operator of Fredholm type. Earlier, differential problems of this type were studied in which the integral… read more here.
Keywords: rapidly oscillating; oscillating inhomogeneity; operator; type ... See more keywords
Regularization Method for Singularly Perturbed Integro-Differential Equations with Rapidly Oscillating Coefficients and Rapidly Changing Kernels
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DOI: 10.3390/axioms9040131
Abstract: In this paper, we consider a system with rapidly oscillating coefficients, which includes an integral operator with an exponentially varying kernel. The main goal of the work is to develop an algorithm for the regularization… read more here.
Keywords: method singularly; singularly perturbed; regularization method; oscillating coefficients ... See more keywords