Model Development of Analogue Wavelet Transform Based the Predicted Imaginary Part of the Dynamics of Rational Map Having Zeros | Chapter 02 | Recent Advances in Mathematical Research and Computer Science Vol. 7

Quadratic polynomial dynamics have already attracted a lot of attention. The kinetics and attributes of rational functions are both fascinating. In this chapter, we look at Witten's [1] solution to the classical Yang-Mills problem and use a C++ computer programme to generate computer graphics. We next develop an artificial neural network model based on RMS kind of error from two samples of points extracted from the created images using predictive modelling software. The imaginary component of sample II might be predicted by feeding the real sections of sample I and sample II [2] to the artificial neural network. The real part of sample II is more essential than the actual part of sample I in anticipating the imaginary component of sample II. The projected imaginary component of Sample II is then loaded via Matlab workspace into Matlab Signal Processing Tool (SPTool). To remove noise from the model for analysis, we use a reliable band pass filter. The methodology can be used to explore the attributes of computer generated images formed from the generated wavelet by producing a modulated signal. The projected imaginary component of sample II is then imported into autoSIGNAL software for continuous wavelet transform time-frequency analysis. The goal of this research is to close the gap between the dynamics of rational maps and the dynamics of electric power systems [3,4].


Author(S) Details

Jean-Bosco Mugiraneza
African Centre of Excellence in Energy for Sustainable Development (ACEESD) , University of Rwanda (UR), Kigali, Rwanda.

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