On Codimension 3 Singular Points of First-order Implicit Differential Equations

We investigate local phase portraits of first-order implicit differential equations in a neighborhood of their singular points of codimension 3. Namely, we consider singular points where the lifted field of the equation on a surface is non-singular, but the projection of the surface to the phase pla...

Полное описание

Сохранить в:

Библиографические подробности
Главные авторы:	Oblasova, I. N., Обласова, И. Н.
Формат:	Статья
Язык:	English
Опубликовано:	2023
Темы:	Singularities of mappings Vector fields Fold Cuspswallowtail; Implicit differential equations
Online-ссылка:	https://dspace.ncfu.ru/handle/20.500.12258/23979
Метки:	Добавить метку Нет меток, Требуется 1-ая метка записи!

id	ir-20.500.12258-23979
record_format	dspace
spelling	ir-20.500.12258-239792025-02-11T10:17:00Z On Codimension 3 Singular Points of First-order Implicit Differential Equations Oblasova, I. N. Обласова, И. Н. Singularities of mappings Vector fields Fold Cuspswallowtail; Implicit differential equations We investigate local phase portraits of first-order implicit differential equations in a neighborhood of their singular points of codimension 3. Namely, we consider singular points where the lifted field of the equation on a surface is non-singular, but the projection of the surface to the phase plane has a singularity of one of three types: lips, beaks, swallowtail. We also consider generic bifurcations in one-parameter families of such equations. 2023-07-05T11:42:07Z 2023-07-05T11:42:07Z 2023 Статья Agakhanova, Y.S., Nikachev, A.S., Oblasova, I.N. On Codimension 3 Singular Points of First-order Implicit Differential Equations // Advances in Systems Science and Applications. - 2023. - 23 (1), pp. 8-21. - DOI: 10.25728/assa.2023.23.01.1382 http://hdl.handle.net/20.500.12258/23979 en Advances in Systems Science and Applications application/pdf
institution	СКФУ
collection	Репозиторий
language	English
topic	Singularities of mappings Vector fields Fold Cuspswallowtail; Implicit differential equations
spellingShingle	Singularities of mappings Vector fields Fold Cuspswallowtail; Implicit differential equations Oblasova, I. N. Обласова, И. Н. On Codimension 3 Singular Points of First-order Implicit Differential Equations
description	We investigate local phase portraits of first-order implicit differential equations in a neighborhood of their singular points of codimension 3. Namely, we consider singular points where the lifted field of the equation on a surface is non-singular, but the projection of the surface to the phase plane has a singularity of one of three types: lips, beaks, swallowtail. We also consider generic bifurcations in one-parameter families of such equations.
format	Статья
author	Oblasova, I. N. Обласова, И. Н.
author_facet	Oblasova, I. N. Обласова, И. Н.
author_sort	Oblasova, I. N.
title	On Codimension 3 Singular Points of First-order Implicit Differential Equations
title_short	On Codimension 3 Singular Points of First-order Implicit Differential Equations
title_full	On Codimension 3 Singular Points of First-order Implicit Differential Equations
title_fullStr	On Codimension 3 Singular Points of First-order Implicit Differential Equations
title_full_unstemmed	On Codimension 3 Singular Points of First-order Implicit Differential Equations
title_sort	on codimension 3 singular points of first-order implicit differential equations
publishDate	2023
url	https://dspace.ncfu.ru/handle/20.500.12258/23979
work_keys_str_mv	AT oblasovain oncodimension3singularpointsoffirstorderimplicitdifferentialequations AT oblasovain oncodimension3singularpointsoffirstorderimplicitdifferentialequations
_version_	1842245664041336832

On Codimension 3 Singular Points of First-order Implicit Differential Equations

Схожие документы