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	Limit cycles for 3-monomial differential equations
	Gasull, Armengol ; Li, Chengzhi ; Torregrosa, Joan
	2015
关键词	Limit cycles Homogeneous nonlinearities Abelian integrals Bifurcations Z(q)-equivariant symmetry POLYNOMIAL VECTOR-FIELDS HILBERTS 16TH PROBLEM PERIODIC-ORBITS BIFURCATION RESONANCE SYMMETRY SYSTEMS ORDER-4
英文摘要	lAre study planar polynomial differential equations that in complex coordinates write as (z) over dot = Az + Bz(z)(k)(-l) + Cz(m) (z) over tilde (n). We prove that for each p is an element of N there are differential equations of this type having at least p limit cycles. Moreover, for the particular case (z) over dot = Az + B (z) over bar + Cz(m)(z) over bar (n), which has homogeneous nonlinearities, we show examples with several limit cycles and give a condition that ensures uniqueness and hyperbolicity of the limit cycle. (C) 2015 Elsevier Inc. All rights reserved.; MINECO/FEDER [MTM2008-03437]; AGAUR [2014SGR568]; European Community [FP7-PEOPLE-2012-IRSES-316338, FP7-PEOPLE-2012-IRSES-318999]; [UNAB10-4E-378]; [NSFC-11171267]; [NSFC-11271027]; SCI(E); ARTICLE; gasull@mat.uab.cat; liez@math.pku.edu.cn; torre@mat.uab.cat; 2; 735-749; 428
语种	英语
出处	SCI
出版者	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/439473]
专题	数学科学学院
推荐引用方式 GB/T 7714	Gasull, Armengol,Li, Chengzhi,Torregrosa, Joan. Limit cycles for 3-monomial differential equations. 2015-01-01.

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