STUDYING ROTATIONS OF VECTOR FIELDS AND GUIDING FUNCTIONS FROM THE VIEWPOINT OF THE EXISTENCE OF POISSON BOUNDED SOLUTIONS
Based on the synthesis of the method of higher derivatives of Lyapunov functions and the method of guiding functions and rotations of vector fields, an original method is proposed for studying sufficient conditions for the existence of Poisson bounded solutions and sufficient conditions for the existence of partially Poisson bounded solutions of systems of differential equations. The materials of this paper can be included in a special course for students of higher education institutions studying in physics and mathematics.