Vakal Y. Study of resonance oscillation processes in small-dimensional Hamiltonian systems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0413U000269

Thesis Registration Form

0413U000269.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

21-01-2013

Specialized Academic Board

Д 26.001.37

Taras Shevchenko National University of Kyiv

Essay

We establish the dependence of perturbed ultrasubharmonics number on small perturbation parameter in 2-D autonomous Hamiltonian system under Hamiltonian and non-Hamiltonian perturbation. We obtain for Hamiltonian system close to integrable one an estimate for the Hausdorff dimension of a set of Kolmogorov tori for which the ratio of frequencies of quasiperiodic motions is badly approximable by rational numbers.

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Files

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