𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Codimension-2 Bautin bifurcation in the Lü system

✍ Scribed by Zhuosheng Lü; Lixia Duan

Book ID
108240853
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
203 KB
Volume
366
Category
Article
ISSN
0375-9601

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Hopf bifurcation in the Lü system
Hopf bifurcation in the Lü system
✍ Yongguang Yu; Suochun Zhang 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 100 KB

In this paper, we use a novel method to investigate the stability of L€ u u system. It is shown that the L€ u u system will display a Hopf bifurcation under certain conditions. Finally, we obtain the conditions of supercritical and subcritical bifurcation.

CODIMENSION-2 HOPF BIFURCATION OF A TWO-
CODIMENSION-2 HOPF BIFURCATION OF A TWO-DEGREE-OF-FREEDOM VIBRO-IMPACT SYSTEM
✍ G.-L. WEN 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 312 KB

Codimension-2 Hopf bifurcation problem of a two-degree-of-freedom system vibrating against a rigid surface is investigated in this paper. The four-dimensional PoincareH map of the vibro-impact system is reduced to a two-dimensional normal form by virtue of a center manifold reduction and a normal fo