Inverse problems in group dynamics

The monographs develop the ideas of A. Poincare about the description of the movement of mechanical systems with a non -Euclidean space of configurations through equations in the so -called group variables, the results of the work of N.G. Chetaeva dedicated to the Golonno systems. The direction in analytical mechanics, which has received intensive development simultaneously with the classical tasks of natural science, namely, the reverse tasks of dynamics, are studied here from the standpoint of solving the equations of movement in group variables.
The presentation of the movement of non-custody and non-elononous systems as a result of solving equations in the form of Poincare-Chetev gives researchers to build a generalized lagranjian and generalized Hamiltonian, provided that the mechanical system is self-consolidation. The theory of reverse tasks of dynamics covers in the monograph the tasks of constructing the functionality of action according to the properties of movement, set in the form of integral diversity and a group of symmetries of the system.
The monograph is equipped with a number of examples of solving interesting and difficult problems and will be useful to specialists in the field of analytical mechanics and the theory of reverse tasks of dynamics