A New Method for Research on the Center-Focus Problem of Differential Systems

We will introduce Mironenko’s method to discuss the Poincaré center-focus problem, and compare the methods of Lyapunov and Mironenko. We apply the Mironenko method to discuss the qualitative behavior of solutions of some planar polynomial differential systems and derive the sufficient conditions for...

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Main Author: Zhengxin Zhou
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/926538
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author Zhengxin Zhou
author_facet Zhengxin Zhou
author_sort Zhengxin Zhou
collection DOAJ
description We will introduce Mironenko’s method to discuss the Poincaré center-focus problem, and compare the methods of Lyapunov and Mironenko. We apply the Mironenko method to discuss the qualitative behavior of solutions of some planar polynomial differential systems and derive the sufficient conditions for a critical point to be a center.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-919dc0c1a2a9445f8318d7ea6a4d02492025-02-03T01:25:36ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/926538926538A New Method for Research on the Center-Focus Problem of Differential SystemsZhengxin Zhou0School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, ChinaWe will introduce Mironenko’s method to discuss the Poincaré center-focus problem, and compare the methods of Lyapunov and Mironenko. We apply the Mironenko method to discuss the qualitative behavior of solutions of some planar polynomial differential systems and derive the sufficient conditions for a critical point to be a center.http://dx.doi.org/10.1155/2014/926538
spellingShingle Zhengxin Zhou
A New Method for Research on the Center-Focus Problem of Differential Systems
Abstract and Applied Analysis
title A New Method for Research on the Center-Focus Problem of Differential Systems
title_full A New Method for Research on the Center-Focus Problem of Differential Systems
title_fullStr A New Method for Research on the Center-Focus Problem of Differential Systems
title_full_unstemmed A New Method for Research on the Center-Focus Problem of Differential Systems
title_short A New Method for Research on the Center-Focus Problem of Differential Systems
title_sort new method for research on the center focus problem of differential systems
url http://dx.doi.org/10.1155/2014/926538
work_keys_str_mv AT zhengxinzhou anewmethodforresearchonthecenterfocusproblemofdifferentialsystems
AT zhengxinzhou newmethodforresearchonthecenterfocusproblemofdifferentialsystems