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Dynamics of Self-Excited Generators with Diverse Nonlinear Delayed Feedbacks

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Abstract

A special asymptotic large parameter analysis is used to study the attractors of self-excited generators with different nonlinear delay elements. Asymptotic formulas for stable relaxation cycles and more complex attractors are derived.

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Acknowledgments

The author thanks Alexander A. Rousakov for the help in preparing the paper and in the publication.

Funding

This work was carried out within the framework of a development programme for the Regional Scientific and Educational Mathematical Center of the Yaroslavl State University with financial support from the Ministry of Science and Higher Education of the Russian Federation (Agreement No. 075-02-2020-1514/1 additional to the agreement on provision of subsidies from the federal budget No. 075-02-2020-1514).

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Correspondence to S. A. Kashchenko.

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Kashchenko, S.A. Dynamics of Self-Excited Generators with Diverse Nonlinear Delayed Feedbacks. Russ. J. Math. Phys. 27, 332–351 (2020). https://doi.org/10.1134/S106192082003005X

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  • DOI: https://doi.org/10.1134/S106192082003005X

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