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Abstract and Applied Analysis
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https://dx.doi.org/10.1155/201...
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A New Method for Research on the Center-Focus Problem of Differential Systems

A new method for research on the center-focus problem of differential systems
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2014 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,014, pages 1-5 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Zhou, Zhengxin;

doi: 10.1155/2014/926538

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

Abstract

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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Keywords

QA1-939, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Periodic solutions to ordinary differential equations, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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