Optimal Morse – Smale flows with singularities on the boundary of surface

• Published in: Нелінійні коливання
• Date: 2018
• Main Authors: Prishlyak, A.O., Loseva, M.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/177190
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Optimal Morse – Smale flows with singularities on the boundary of surface / A.O. Prishlyak, M.V. Loseva // Нелінійні коливання. — 2018. — Т. 21, № 2. — С. 231-237. — Бібліогр.: 10 назв. — англ.

We consider optimal flows on noncompact surfaces with boundary, which have a minimum number of
 fixed points and all of them lie on the boundary of the surface. It is proved that the flow will be optimal if
 it has a single sink and a single source. The structure of optimal flows on...