Results 11 to 20 of about 2,741,092 (222)

Fields of almost periodic sequences [PDF]

open access: yesJournal 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.
Leonard E. Baum   +3 more
openaire   +2 more sources

Uniformly Almost Periodic Functions and Almost Periodic Solutions to Dynamic Equations on Time Scales

open access: yesAbstract and Applied Analysis, 2011
Firstly, we propose a concept of uniformly almost periodic functions on almost periodic time scales and investigate some basic properties of them. When time scale T=ℝ or ℤ, our definition of the uniformly almost periodic functions is equivalent to the ...
Yongkun Li, Chao Wang
doaj   +2 more sources

Almost maximally almost-periodic group topologies determined by T-sequences [PDF]

open access: yesTopology and its Applications, 2006
A sequence $\{a_n\}$ in a group $G$ is a {\em $T$-sequence} if there is a Hausdorff group topology $τ$ on $G$ such that $a_n\stackrelτ\longrightarrow 0$. In this paper, we provide several sufficient conditions for a sequence in an abelian group to be a $T$-sequence, and investigate special sequences in the Prüfer groups $\mathbb{Z}(p^\infty)$.
Lukács, Gábor
openaire   +4 more sources

Cross correlations of Frank sequences and Chu Sequences. [PDF]

open access: yes, 1994
Sets of Frank sequences and Chu sequences are two classes of polyphase sequence with ideal periodic autocorrelation functions, which at the same time have optimum crosscorrelation functions.
Fan, P. Z.   +3 more
core   +4 more sources

Almost periodic sequences and functions with given values [PDF]

open access: yes, 2011
summary:We present a method for constructing almost periodic sequences and functions with values in a metric space. Applying this method, we find almost periodic sequences and functions with prescribed values.
Veselý, Michal
core   +1 more source

Rotation sets and almost periodic sequences [PDF]

open access: yesMathematische Zeitschrift, 2016
We study the rotational behaviour on minimal sets of torus homeomorphisms and show that the associated rotation sets can be any type of line segments as well as non-convex and even plane-separating continua. This shows that restrictions holding for rotation sets on the whole torus are not valid on minimal sets.
Jäger, T., Passeggi, A., Štimac, Sonja
openaire   +6 more sources

Regenerative Shaper of Ultrashort Light Pulses

open access: yesPhotonics, 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
doaj   +1 more source

Limit periodic linear difference systems with coefficient matrices from commutative groups

open access: yesElectronic 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
doaj   +1 more source

EEG microstate periodicity explained by rotating phase patterns of resting-state alpha oscillations

open access: yesNeuroImage, 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
doaj   +1 more source

Almost periodic solutions of $N$-th order neutral differential difference equations with piecewise constant arguments

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2013
In this paper, we study the existence of almost periodic solutions of neutral differential difference equations with piecewise constant arguments via difference equation methods.
Rong-Kun Zhuang
doaj   +1 more source

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