Results 11 to 20 of about 185,882 (261)
Applied Mathematics Letters, 2000 The aim of this paper is to characterize the existence of almost-periodic, asymptotically almost-periodic, and pseudo almost-periodic solutions to differential equations with piecewise constant argument of the form: \[ {dx\over dt}= f(t, x(t), x([t]), x([t- 1]),\dots, x([t- k])),\quad t\in J,\tag{1} \] where \(k\) is a positive integer, \(f\in C(J ...
Alonso, A.I., Hong, Jialin, Obaya, R.
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Almost periodic random sequences in probability
Journal of Mathematical Analysis and Applications, 2007 The authors prove that a discrete version of almost periodic random sequences in probability solves a class of random difference equations.
Han, Yuliang, Hong, Jialin
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Exponential Stabilisation of Continuous-time Periodic Stochastic Systems by Feedback Control Based on Periodic Discrete-time Observations [PDF]
, 2020 Since Mao in 2013 discretised the system observations for stabilisation problem of hybrid SDEs (stochastic differential equations with Markovian switching) by feedback control, the study of this topic using a constant observation frequency has been ...
Birrell, Stewart +2 more
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Asymptotically almost periodic solutions of limit and almost periodic linear difference systems
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, limit periodic and almost periodic homogeneous linear difference systems are considered. We study the systems in which the coefficient matrices are taken from a given bounded group and the elements of the matrices are from an infinite ...
Martin Chvátal
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Regenerative Shaper of Ultrashort Light Pulses
Photonics, 2023 In this article, we propose and demonstrate an ultrashort light pulse regenerative shaper based on a closed-loop double-stage Mamyshev regenerator with an electrically controllable acousto-optic switch.
Kęstutis Regelskis +2 more
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On periodic solutions of 2-periodic Lyness difference equations [PDF]
, 2012 We study the existence of periodic solutions of the non--autonomous periodic Lyness' recurrence u_{n+2}=(a_n+u_{n+1})/u_n, where {a_n} is a cycle with positive values a,b and with positive initial conditions.
GUY BASTIEN +4 more
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EEG microstate periodicity explained by rotating phase patterns of resting-state alpha oscillations
NeuroImage, 2021 Spatio-temporal patterns in electroencephalography (EEG) can be described by microstate analysis, a discrete approximation of the continuous electric field patterns produced by the cerebral cortex.
F. von Wegner +4 more
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Averaging Almost Periodic Functions along Exponential Sequences [PDF]
, 2017 The goal of this expository article is a fairly self-contained account of some averaging processes of functions along sequences of the form $( ^n x)^{}_{n\in\mathbb{N}}$, where $ $ is a fixed real number with $| | > 1$ and $x\in\mathbb{R}$ is arbitrary. Such sequences appear in a multitude of situations including the spectral theory of inflation
Baake, Michael +2 more
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Limit periodic linear difference systems with coefficient matrices from commutative groups
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, limit periodic and almost periodic homogeneous linear difference systems are studied. The coefficient matrices of the considered systems belong to a given commutative group.
Petr Hasil, Michal Veselý
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Fields of almost periodic sequences
Journal of Combinatorial Theory, Series A, 1977 AbstractLet F((x)) be the field of formal power series over the field with two elements F. We classify all quadratic elements in F((x)) which are almost periodic, the Morse-Hedlund sequence being a special case. We also give some results for higher-degree almost periodic elements.
Baum, Leonard E +3 more
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