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When a bistable energy harvester (BEH) is driven by weak random excitation, its harvesting efficiency will decrease due to the seldom occurrence of interwell motion.
Analytical expressions are obtained for the moment Lyapunov exponent and the Lyapunov exponent of the fractional system with small damping and weak random fluctuation.
Remark 2.6 If X is a separable Banach space, then every strong and also weak random variable is measurable in the sense of Definition 2.1.
It relies on a kinetic approach of wave propagation phenomena pertaining to the situation whereby the wavelength is comparable to the correlation length of the weak random inhomogeneities the so-called weak coupling limit.
The method of higher-order stochastic averaging is used to approximate the fractional stochastic differential equation of motion, and then moment Lyapunov exponents are determined for the system with small damping and weak random fluctuation.
This indicates that the main cause of the amplitude fluctuations in weak random elastic media is not density fluctuations but velocity fluctuations, implying that phase modulation, focusing, and defocusing due to complex ray-bending are crucial for amplitude fluctuation.
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Problem 1.3 For much weaker random variables than acceptable random variables, we wonder whether there are also some results similar to that of acceptable random variables.
The first case simulates a deterministic damped sinusoidal signal against a background of weaker random Gaussian interference and recurring BB signals (e.g., modeling pings of own ship echo-sounder).
Because of this weak bonding, random displacements between the layers are quite common and result in kaolinite minerals of lower crystallinity than that of the triclinic kaolinite.
On Wednesday night, the pump at the ICA stopped working and the fluid started to separate - ie, the brain bit malfunctioned, while the buffeting winds and driving rain were represented by a series of weak and random flashes from the LEDs.
Shear bands are shown to be potent nucleation sites during annealing and a weak, almost random, texture associated with nucleation at shear bands has been inferred.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com