Kucher E. Investigation of periodic solutions in rigid body dynamics

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U003719

Thesis Registration Form

0406U003719.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

07-09-2006

Specialized Academic Board

Д 11.193.01

Essay

3. The dissertation is devoted to the research of exact solutions of the classical problem on motion of a rigid body about a fixed point and the qualitative description of . behaviour of perturbated trajectories in a neighbourhood of exact periodic solutions. Bifurcation diagrams are constructed, critical values of integral levels are obtained, topological types of the three dimensional integral manifolds carrying exact known solutions of the Euler-Poisson equations are found. Lyapunov's exponents for seven families of known exact periodic solutions were obtained and the domains of dynamical instability are determinated in the space of mechanical parameters.

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