Phase Trajectories of Linear Homogeneous Autonomous Dynamical Systems of the Third Order

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.