English

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

Fluid Dynamics 2022-03-08 v1 Dynamical Systems

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.

Keywords

Cite

@article{arxiv.2203.02822,
  title  = {Phase trajectories of linear homogeneous autonomous dynamical systems of the third order},
  author = {A A Puntus and A I Fedyushkin},
  journal= {arXiv preprint arXiv:2203.02822},
  year   = {2022}
}