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	BIFURCATIONS OF LIMIT CYCLES IN A REVERSIBLE QUADRATIC SYSTEM WITH A CENTER, A SADDLE AND TWO NODES
	Iliev, Iliya D. ; Li, Chengzhi ; Yu, Jiang
	2010
关键词	Bifurcation of limit cycles period annulus reversible quadratic system small perturbations elliptic phase curves UNBOUNDED HETEROCLINIC LOOPS INTEGRABLE SYSTEM HOMOCLINIC LOOP PERTURBATIONS
英文摘要	We study the bifurcations of limit cycles in a class of planar reversible quadratic systems whose critical points are a center, a saddle and two nodes, under small quadratic perturbations. By using the properties of related complete elliptic integrals and the geometry of some planar curves defined by them, we prove that at most two limit cycles bifurcate from the period annulus around the center. This bound is exact.; Mathematics, Applied; Mathematics; SCI(E); 12; ARTICLE; 3; 583-610; 9
语种	英语
出处	SCI
出版者	communications on pure and applied analysis
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/395946]
专题	数学科学学院
推荐引用方式 GB/T 7714	Iliev, Iliya D.,Li, Chengzhi,Yu, Jiang. BIFURCATIONS OF LIMIT CYCLES IN A REVERSIBLE QUADRATIC SYSTEM WITH A CENTER, A SADDLE AND TWO NODES. 2010-01-01.

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