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In this paper, we have investigated the control problem of the Weierstrass–Mandelbrot function model with Morlet wavelet term. Based on the corollary for its convergence, we have formulated several theorems about the monotonous effects of Morlet wavelet term on scope of the series. In addition, effects of Morlet wavelet term on two important statistical characteristics: multifractality and Hurst exponent...
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