Center problem for a class of degenerate quartic systems
This paper, using pseudo-division algorithm, introduces a method for computing resonant focus numbers of a class of complex polynomial differential systems, establishes the necessary and sufficient conditions for existence of a center for a class of complex quartic systems with a degenerate resonan...
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Format: | Article |
Language: | English |
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University of Szeged
2015-01-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3052 |
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author | Bo Sang |
author_facet | Bo Sang |
author_sort | Bo Sang |
collection | DOAJ |
description | This paper, using pseudo-division algorithm, introduces a method for computing resonant focus numbers of a class of complex polynomial differential systems, establishes the necessary and sufficient conditions for existence of a center for a class of complex quartic systems with a degenerate resonant singular point. |
first_indexed | 2024-04-09T13:39:36Z |
format | Article |
id | doaj.art-93e4f4e59c114a9d96b76490f5d9c8ac |
institution | Directory Open Access Journal |
issn | 1417-3875 |
language | English |
last_indexed | 2024-04-09T13:39:36Z |
publishDate | 2015-01-01 |
publisher | University of Szeged |
record_format | Article |
series | Electronic Journal of Qualitative Theory of Differential Equations |
spelling | doaj.art-93e4f4e59c114a9d96b76490f5d9c8ac2023-05-09T07:53:04ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752015-01-0120147411710.14232/ejqtde.2014.1.743052Center problem for a class of degenerate quartic systemsBo Sang0School of Mathematical Sciences, Liaocheng University, No. 1, Hunan Road, Liaocheng,252059This paper, using pseudo-division algorithm, introduces a method for computing resonant focus numbers of a class of complex polynomial differential systems, establishes the necessary and sufficient conditions for existence of a center for a class of complex quartic systems with a degenerate resonant singular point.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3052 complex quartic systemsdegenerate resonant singular pointintegrabilityresonant focus number |
spellingShingle | Bo Sang Center problem for a class of degenerate quartic systems Electronic Journal of Qualitative Theory of Differential Equations complex quartic systems degenerate resonant singular point integrability resonant focus number |
title | Center problem for a class of degenerate quartic systems |
title_full | Center problem for a class of degenerate quartic systems |
title_fullStr | Center problem for a class of degenerate quartic systems |
title_full_unstemmed | Center problem for a class of degenerate quartic systems |
title_short | Center problem for a class of degenerate quartic systems |
title_sort | center problem for a class of degenerate quartic systems |
topic | complex quartic systems degenerate resonant singular point integrability resonant focus number |
url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3052 |
work_keys_str_mv | AT bosang centerproblemforaclassofdegeneratequarticsystems |