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Construction of maps for dynamic modes and bifurcation diagrams in nonlinear dynamics using the Maple computer mathematics software package

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, , Citation R I Parovik and T P Yakovleva 2022 J. Phys.: Conf. Ser. 2373 052022 DOI 10.1088/1742-6596/2373/5/052022

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romanparovik@gmail.com

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1 Mathematics and Physics Department, Vitus Bering Kamchatka State University, 4, Pogranichnaya str., Petropavlovsk-Kamchatskiy, Kamchatskiy Kray, 683032, Russia

2 Laboratory of Physical Processes Modeling, Institute of Cosmophysical Research and Radio Wave Propagation, Far Eastern Branch of the Russian Academy of Sciences, 7, Mirnaya str., Paratunka, Kamchatskiy Kray, 684034, Russia

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1742-6596/2373/5/052022

Abstract

The paper considers algorithms for constructing maps of dynamic regimes and bifurcation diagrams in nonlinear dynamics using the example of some oscillatory systems and discrete mappings. The work is educational and methodical and can be used in the educational process when studying the disciplines "Nonlinear dynamics" and "Theory of oscillatory systems".

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10.1088/1742-6596/2373/5/052022