COMPUTER ANALIYSIS OF THE STABILITY OF LA SALLE’S SYSTEM SOLUTION

In the work by V. V. Mironov and Yu. S. Mitrokhin, titled "Technological Approach to the Study of Stability of Dynamical Systems: Applied Issues," the stability of solutions to the La Salle equation is investigated. These solutions are significant in various applied fields such as physics, biology, and seismology. The primary focus is on the analysis of the stability of dynamical systems and the search for regions of asymptotic stability. This study examines the region of asymptotic stability of the La Salle system and explores the relationship between the system's stability and the behavior of its main characteristics (curvature and torsion). Using software tools such as MatLab, Excel, and Python (with third-party libraries like numpy and matplotlib.pyplot), an analysis of the main characteristics of the curves was conducted. Methods included exponential fitting, FFT analysis of the Fourier spectrum, and visual analysis of characteristic graphs.