In this paper, we studied the p-mean piecewise pseudo almost periodic periodicity for a class of impulsive nonautonomous partial stochastic evolution equations in Hilbert spaces.
Event signals define the start time, the duration, the periodicity for periodic events, and the numbers of repetitions.
Actually I would have liked to have pursued it a bit but we had already spent more than the allotted amount of time on this demonstration and I had shown them periodicity for shorter periods already so I think they had grasped the concept quite well so the fact that I didn't actually get a period of 16 bugged me a bit but not enough to ruin the rest of the lecture.
It shows 24-hour periodicity for each depth layer for defined periods throughout the polar night.
This experiment was then repeated for approximate periodicity, for which we defined Gaussian distributed periods with expected value of 10 and standard deviation σ ∈ [0.1, 3].
Also, Islam [10] showed that asymptotic almost periodicity implies almost periodicity for the bounded solution of the almost periodic integral equation (3.2).
By varying the frequency and amplitude of the external forcing (control parameters) not only were the chaotic dynamics converted to periodic states (controlling chaos via entrainment), but the period-1 (P1) behavior could also be transformed to oscillatory dynamics of higher periodicity (for example: P2).
It is found that the flow converges to a stationary state for Reynolds numbers (Re) up to 10,000; for Reynolds numbers larger than a critical value 10,000 < Re 1 ⩽ 10,500 and less than another critical value 15,000 < Re 2 ⩽ 15,500, the flow becomes periodic in time which indicates a Hoph bifurcation; the flow loses time periodicity for Re ⩾ Re 2.
Therefore, an array of atoms may not simultaneously display fivefold rotational symmetry and translational periodicity, for, if it did, there would be no lower limit to the spacing between atoms.
d The uniformity of periodicity for the samples.
Tanaka (2014) reported a possible historical periodicity for earthquakes with M > 7.5 in northeast Japan.
