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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Academic Journals Center of Shanghai Normal University
2019-06-01
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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 |
_version_ |
1721203885638418432 |