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A new method is proposed to inverse normalization data of hidden variables in a dynamical system by embedding a time series
in multidimensional spaces and applying a normalization analysis to the conditional probability density of points in the reconstructed
phase spaces. The method is robust in the application to Lorenz system and 4-dimensional R?ssler system by testing quantitatively
and qualitatively the correlation coefficient between inverse data and original data in time domain and in frequency domain,
respectively. By applying the method to analyzing the South China Sea data, the normalization data of wind speed is extracted
from the sea surface temperature time series. 相似文献
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Effective elastic properties of spherically anisotropic piezoelectric composites, whose spherically anisotropic piezoelectric inclusions are embedded in an infinite non-piezoelectric matrix, are theoretically investigated. Analytical solutions for the elastic displacements and the electric potentials under a uniform external strain are derived exactly. Taking into account of the coupling effects of elasticity, permittivity and piezoelectricity, the formula is derived for estimating the effective elastic properties based on the average field theory in the dilute limit. An elastic response mechanism is revealed, in which the effective elastic properties increase as inclusion piezoelectric properties increase and inclusion dielectric properties decrease. Moreover, a piezoelectric response mechanism, of which the effective piezoelectric response vanishes due to the symmetry of spherically anisotropic composite, is also disclosed. 相似文献
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