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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Main Author: Bo Sang
Format: Article
Language:English
Published: University of Szeged 2015-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3052
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author Bo Sang
author_facet Bo Sang
author_sort Bo Sang
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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.
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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&paramtipus_ertek=publication&param_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&paramtipus_ertek=publication&param_ertek=3052
work_keys_str_mv AT bosang centerproblemforaclassofdegeneratequarticsystems