THE ANALYSIS OF THE QUALITY FEATURES OF THE DYNAMICS IN NON-AUTONOMOUS NONLINEAR ELECTRIC CIRCUITS BY USING EIGENVALUES OF THE FUNCTIONAL JACOBI MATRIX

In the article the algorithm of the research qualitative characteristics and properties of the dynamics of nonlinear nonautonomous electrical circuits with lumped parameters. The algorithm is based on the decomposition of the regular components of the desired solutions of the equations of the dynamics of such circuits on their own num-bers of the functional Jacobian matrix and the subsequent allocation of the relationships between the properties of the circuit and information indicative of the results of such decomposition. The procedure for finding the solu-tions generated using the computational scheme of the analytical and numerical method. Analytical-numerical method belongs to the class of single-step methods, variable order, and its computational procedure consists of two parts. The analytical part is based on the apparatus of generalized functions, generalized Laplace trans-form and functional power series. The basis of the numerical part of the principle of analytic continuation of the solution and the procedure for selecting the desired step of the calculation and order method.

Authors: Yu. A. Bychkov, S. V. Scherbakov

Direction: Electrical Engineering

Keywords: Electric circuit, nonlinear dynamics, numerical method, the step of the calculation, the error in the calculation, the decomposition of the desired solution, the Jacobian matrix, the dynamic properties of the circuit

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