Phase trajectories of linear homogeneous autonomous dynamical systems of the third order

A A Puntus; A I Fedyushkin

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arXiv · 2203.02822

Phase trajectories of linear homogeneous autonomous dynamical systems of the third order

A A Puntus·A I Fedyushkin

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Abstract

The proposed article is devoted to the study of the problem of constructing phase trajectories in the vicinity of a singular point. This paper presents a more expanded view of this problem in comparison with those previously considered by other authors and suggests a more meaningful and grounded development of this study. Numerous examples of the application of this approach to the study of trajectories at a singular point are given.

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A A Puntus, A I Fedyushkin. 2022-03-05. Phase trajectories of linear homogeneous autonomous dynamical systems of the third order. https://arxiv.org/abs/2203.02822

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