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.

Authors
Mukharlyamov R.G. , Kaspirovich I.E.
Journal
Lobachevskii Journal of Mathematics
Publisher
Pleiades Publishing
Number of issue
1
Language
English
Pages
472-477
Status
Published
Link
External link
DOI
10.1134/S1995080224010384
Volume
45
Year
2024
Organizations
  • 1 Patrice Lumumba Peoples Friendship University of Russia (RUDN University), Moscow, Russian Federation
Keywords
constraint stabilization; dynamical system; Helmholtz conditions; system of differential equations
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