Fractional Power Spectra in Diagnostics of Nonlinear Discrete Lorentz and Chua Systems

The express diagnostics of multi-mode discrete-nonlinear electronic systems based on the non-harmonic spectra of their signals is considered. A new technique for constructing multidimensional non-harmonic fractional power spectra of signals has been developed. A criterion for choosing the optimal form of basis functions in the non-harmonic spectral analysis of fractal signals of discrete-nonlinear electronic systems is proposed. Multidimensional non-harmonic fractional power spectra of diagnosed discrete-nonlinear Lorentz and Chua systems are proposed and investigated. An approach in the express diagnostics of multimode discrete-nonlinear radio-electronic devices and systems with chaotic dynamics, based on multidimensional fractional power spectra of fractal signals, has been developed.