Open AccessFlows with collective dynamics on a sphere
Author(s) -
A. A. Prus,
Олександр Олегович Пришляк,
Софія Гурака
Publication year - 2021
Publication title -
trudy meždunarodnogo geometričeskogo centra/pracì mìžnarodnogo geometričnogo centru
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.124
H-Index - 2
eISSN - 2409-8906
pISSN - 2072-9812
DOI - 10.15673/tmgc.v14i1.1902
Subject(s) - invariant (physics) , simple (philosophy) , flow (mathematics) , diagram , boundary (topology) , dynamics (music) , mathematics , statistical physics , computer science , theoretical physics , topology (electrical circuits) , physics , geometry , mathematical analysis , epistemology , combinatorics , mathematical physics , philosophy , statistics , acoustics
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.