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Unfortunately, methods based on periodicity are restricted to periodic motion.
Note that the almost periodicity and the Δ-almost periodicity are equivalent on periodic time scales defined by Definition 1.1 since (delta_{ tau }^{Delta }(t)=(t+tau)^{Delta }equiv 1).
The long period astronomical cycles (>0.5 Myr periodicity) are predicted to have changed their frequencies through time due to the "chaotic" behavior of the inner planets, especially Earth-Mars secular resonance (e.g. Laskar, 1990; Laskar et al., 2004, 2011a, b).
Some new results on the existence of periodicity are obtained.
The effects of maximum stress, load ratio, roughness asperity angle, and roughness periodicity are quantified.
In the paper, the global exponential stability and periodicity are investigated for delayed cellular neural networks with impulsive effects.
Similar(19)
Each periodicity was unique.
In an amorphous solid, translational periodicity is absent.
The difference between quasiperiodicity and periodicity is that a quasiperiodic pattern never repeats itself.
The periodicity is a frame basis.
A (24 ± 4 -year periodicity is apparent.
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