Invariant algebraic surfaces of a modified coupled dynamos model

A coupled dynamos model considering two loss characteristics can be described as a threedimensional nonlinear autonomous system proposed recently by HAO et al, which exhibits very complicated dynamics. In this paper, invariant algebraic surfaces of this system are investigated from the view of integ...

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Main Authors: WU Jiankun, XIE Feng
Format: Article
Language:English
Published: Academic Journals Center of Shanghai Normal University 2019-06-01
Series:Journal of Shanghai Normal University (Natural Sciences)
Subjects:
Online Access:http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20190301
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spelling doaj-7b84a096dad541d9b1b585f6f69040df2021-08-18T02:47:12ZengAcademic Journals Center of Shanghai Normal UniversityJournal of Shanghai Normal University (Natural Sciences)1000-51371000-51372019-06-0148322323010.3969/J.ISSN.1000-5137.2019.03.00120190301Invariant algebraic surfaces of a modified coupled dynamos modelWU Jiankun0XIE Feng1College of Science, Donghua University, Shanghai 201620, ChinaCollege of Science, Donghua University, Shanghai 201620, ChinaA coupled dynamos model considering two loss characteristics can be described as a threedimensional nonlinear autonomous system proposed recently by HAO et al, which exhibits very complicated dynamics. In this paper, invariant algebraic surfaces of this system are investigated from the view of integrability. Using the method of characteristic curves for solving linear partial differential equations, we obtain the parameter conditions when the system has invariant algebraic surfaces.http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20190301modified coupled dynamos modelinvariant algebraic surfaceintegrability
collection DOAJ
language English
format Article
sources DOAJ
author WU Jiankun
XIE Feng
spellingShingle WU Jiankun
XIE Feng
Invariant algebraic surfaces of a modified coupled dynamos model
Journal of Shanghai Normal University (Natural Sciences)
modified coupled dynamos model
invariant algebraic surface
integrability
author_facet WU Jiankun
XIE Feng
author_sort WU Jiankun
title Invariant algebraic surfaces of a modified coupled dynamos model
title_short Invariant algebraic surfaces of a modified coupled dynamos model
title_full Invariant algebraic surfaces of a modified coupled dynamos model
title_fullStr Invariant algebraic surfaces of a modified coupled dynamos model
title_full_unstemmed Invariant algebraic surfaces of a modified coupled dynamos model
title_sort invariant algebraic surfaces of a modified coupled dynamos model
publisher Academic Journals Center of Shanghai Normal University
series Journal of Shanghai Normal University (Natural Sciences)
issn 1000-5137
1000-5137
publishDate 2019-06-01
description A coupled dynamos model considering two loss characteristics can be described as a threedimensional nonlinear autonomous system proposed recently by HAO et al, which exhibits very complicated dynamics. In this paper, invariant algebraic surfaces of this system are investigated from the view of integrability. Using the method of characteristic curves for solving linear partial differential equations, we obtain the parameter conditions when the system has invariant algebraic surfaces.
topic modified coupled dynamos model
invariant algebraic surface
integrability
url http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20190301
work_keys_str_mv AT wujiankun invariantalgebraicsurfacesofamodifiedcoupleddynamosmodel
AT xiefeng invariantalgebraicsurfacesofamodifiedcoupleddynamosmodel
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