Zub S. Mathematical and computer modeling in Hamiltonian dynamics of the magnetic bodies in the systems with symmetries

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0517U000115

Thesis Registration Form

0517U000115.pdf

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

10-02-2017

Specialized Academic Board

Д 26.194.02

V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine

Essay

The object of study: new mathematical models of magnetic interaction in systems with symmetries with quasi-orbital motion. Aim of work: development the methods and instruments of mathematical modeling for study stability of physical nature on magnetic interaction of bodies. Methods: theory of bundles, action of groups and Lie algebras on the symplectic and Poisson manifolds, group-theoretical methods. Scientific novelty: strictly analytically proved the stable quasi-orbital movements in magnetic systems. Practical meaning: problems of magnetic interaction dynamics.

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Files

aref_Zub.pdf

dis.pdf

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