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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