Abstract

This work presents procedures like correlation analysis and bi-spectral frequency analysis applied in order to highlight non-linear phenomena accompanying cyclic dispersion. The Liapounov exponent is highlighted as a non-linear phenomenon and its values are based on experimental data. The time-frequency analysis and cyclic spectral analysis of experimental data are used because these phenomena also have, in addition, a non-static character. Fractal-based mathematical models are established in the paper to ensure maximum modeling accuracy, since cyclic dispersion has a pronounced nonlinear as well as a non-static character. These models establish the equation between the indicated pressure and the amount of heat released during a thermodynamic cycle.

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