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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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Is the circadian clock a limit cycle oscillator? [PDF]
BMC Neuroscience, 2011 Meijer Johanna H, Rohling Jos
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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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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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Characterization of Limit Cycle Oscillations Induced by Fixed Threshold Samplers
IEEE Access, 2022 In this work, a generalized study of the conditions for the appearance of limit cycle oscillations induced by any kind of sampler with multilevel fixed thresholds is presented.
Oscar Miguel-Escrig +3 more
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Photoelectron Circular Dichroism at the Few-cycle Limit [PDF]
EPJ Web of Conferences, 2019 Photoelectron circular dichroism (PECD) was investigated for methyloxirane with intense few-cycle pulses. The observed PECD shows a dependence on electron energy. This may signify an influence of the chiral potential on the outgoing electron’s trajectory.
Harms Václav +8 more
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Stability conditions of limit cycle for Gompertz Autoregressive model
Tikrit Journal of Pure Science, 2023 In this paper, we suggest Gompertz Autoregressive model by using the cumulative distribution function of Gompertz distribution and, the aim of this paper is studying and finding the stability conditions of a limit cycle for the Gompertz Autoregressive ...
Nezar E. Ali, Azher A. Mohammad
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Nuclear Fusion, 2023 An analytical formula systematically predicts the observed frequency of pressure relaxation limit cycle oscillations in the vicinity of the transition to high confinement in four tokamaks (JET, ASDEX Upgrade, COMPASS, Globus-M).
O. Grover +16 more
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