Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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Flows with collective dynamics on a sphere

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Андрій Прус
Олександр Пришляк
Софія Гурака

Abstract

In this article different properties of flow codes are studied and a diagram is constructed as a whole topological invariant of them. In particular, flows with no more than 6 saddles are described. Two types of simple bifurcations: positive and negative – are considered as well. Summarizing the results on compact surfaces with boundary remains an interesting question for future works.


 

Keywords:
flows, collective dynamics, topological invariant, simple bifurcations

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How to Cite
Прус, А., Пришляк, О., & Гурака, С. (2021). Flows with collective dynamics on a sphere. Proceedings of the International Geometry Center, 14(1), 61-80. https://doi.org/10.15673/tmgc.v14i1.1902
Section
Papers