Prus A. Topology of flows on small-dimensional manifolds with a boundary.

Українська версія

Thesis for the degree of Doctor of Philosophy (PhD)

State registration number

0822U100852

Thesis Registration Form

0822U100852.pdf

Applicant for

Specialization

  • 111 - Математика та статистика. Математика

27-06-2022

Specialized Academic Board

ДФ 26.001.316

Taras Shevchenko National University of Kyiv

Essay

The theory of dynamical systems is a popular branch of mathematics that emerged as a tool for the study of differential equations and is now becoming a mathematical basis for creating models in physics, biology, economics, and so on. Morse-Smale flows - one of the objects of study of this theory. A vector field defined on a closed manifold generates a stream. On a compact manifold with a boundary, the vector field generates a flow if and only if it touches the boundary at each of its points. Structurally stable vector fields on closed surfaces are Morse-Smale fields.

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Files

autoreferat-Прус_анотація.doc

Прус_ ДИСЕРТАЦІЯ.pdf

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