On the construction of a set of stochastic differential equations on the basis of a given integral manifold independent of velocities |
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Authors: | M I Tleubergenov D T Azhymbaev |
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Institution: | 1.Institute of Mathematics, Ministry of Education and Science of Kazakhstan Republic,Alma-Ata,Kazakhstan |
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Abstract: | We construct the Lagrange equation, Hamilton equation, and Birkhoff equation on the basis of given properties of motion under
random perturbations. It is assumed that random perturbation forces belong to the class of Wiener processes and that given
properties of motion are independent of velocities. The obtained results are illustrated by an example of motion of an Earth
satellite under the action of gravitational and aerodynamic forces. |
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