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Limit Cycles Near Homoclinic and Heteroclinic Loops

✍ Scribed by Maoan Han; Junmin Yang; Alexandrina–Alina Tarţa; Yang Gao

Book ID
106408541
Publisher
Springer US
Year
2008
Tongue
English
Weight
259 KB
Volume
20
Category
Article
ISSN
1040-7294

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📜 SIMILAR VOLUMES

On the stability of double homoclinic an
On the stability of double homoclinic and heteroclinic cycles
✍ Maoan Han; Shouchuan Hu; Xingbo Liu 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 177 KB

In this paper we give a criterion for the stability of planar double homoclinic and heteroclinic cycles with one or two saddles in some degenerate case.

Bifurcation of limit cycles from a heter
Bifurcation of limit cycles from a heteroclinic loop with a cusp
✍ Xianbo Sun; Maoan Han; Junmin Yang 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 584 KB

In this article, we study the expansion of the first Melnikov function of a near-Hamiltonian system near a heteroclinic loop with a cusp and a saddle or two cusps, obtaining formulas to compute the first coefficients of the expansion. Then we use the results to study the problem of limit cycle bifur