Analysis of Possible Solutions of Some Inverse Dynamical Problem with Regard for Constraint Stabilization

Abstract: Methods for constructing systems of second-order ordinary differential equations whose solutions satisfy the constraint stabilization conditions are outlined. Modified Helmholtz conditions are used to bring the system to the form of the Lagrange equations. The expression of the central force is determined, which ensures the stabilization of the points movement trajectory. © Pleiades Publishing, Ltd. 2024.