𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Bifurcation of limit cycles from a Liénard system with a heteroclinic loop connecting two nilpotent saddles

✍ Scribed by Xianbo Sun

Book ID
120755054
Publisher
Springer Netherlands
Year
2013
Tongue
English
Weight
555 KB
Volume
73
Category
Article
ISSN
0924-090X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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

Global bifurcations of limit and separat
Global bifurcations of limit and separatrix cycles in a generalized Liénard system
✍ Valery A. Gaiko; Wim T. van Horssen 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 182 KB

We construct a canonical cubic dynamical system of Kukles type and carry out the global qualitative analysis of its special case corresponding to a generalized Liénard equation. In particular, we prove that the foci of such a Liénard system can be at most of second order, and that this particular sy