Synthesis of Dynamical Systems, which Phase Portraits Contain Elementary Cells with a Prescribed Topological Structure. Part 1

S V Volkov; Волков Сергей Владимирович; M A Davydova; Давыдова Марина Александровна

Synthesis of Dynamical Systems, which Phase Portraits Contain Elementary Cells with a Prescribed Topological Structure. Part 1

Authors: Volkov SV¹, Davydova MA¹
Affiliations:
1. Peoples' Friendship University of Russia
Issue: No 1 (2012)
Pages: 14-23
Section: Articles
URL: https://journals.rudn.ru/miph/article/view/8769

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Abstract

A method for construction of differential plane dynamical systems which phase portraits have elementary cells with a prescribed topological structure is presented. The solutions of such type inverse problems of differential equations theory may be used to obtain control over dynamical systems behavior.

Keywords

dynamical systems, systems of differential equations, phase portraits, phase portraits topological structure, singular phase trajectories

About the authors

S V Volkov

Peoples' Friendship University of Russia

Email: svlvolkov@rambler.ru
Кафедра нелинейного анализа и оптимизации; Российский университет дружбы народов; Peoples' Friendship University of Russia

M A Davydova

Peoples' Friendship University of Russia

Email: maldavydova@mail.ru
Кафедра нелинейного анализа и оптимизации; Российский университет дружбы народов; Peoples' Friendship University of Russia

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Vol 32, No 3 (2024)

Synthesis of Dynamical Systems, which Phase Portraits Contain Elementary Cells with a Prescribed Topological Structure. Part 1

Full Text

Abstract

Keywords

About the authors

S V Volkov

M A Davydova

References

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