Программный комплекс ABMVAFracSim для исследования дробного осциллятора ван дер Поля-Эйри

In the article, using the ABMVAFracSim software package developed in the Python programming language, the fractional oscillatory system of Van der Pol-Airy is investigated. The fractional Van der Pol-Airy oscillator is a nonlinear differential equation with fractional derivatives, which are understood in the Gerasimov-Caputo sense. In the software package, the Adams-Bashforth-Multon numerical algorithm from the predictor corrector family was implemented for studying the fractional Van der Pol-Airy oscillator. Also, the ability to visualize the simulation results is implemented- to build oscillograms and phase trajectories, as well as save them for subsequent analysis. The simulation results can also be saved in text files. In the work, a study of the dynamic modes of the fractional Van der Pol-Airy oscillator is carried out, oscillograms and phase trajectories are built for different values of the control parameters. The operation of the ABM VAFracSim software package is described.

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