𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hopf bifurcation in the Lü system

✍ Scribed by Yongguang Yu; Suochun Zhang

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
100 KB
Volume
17
Category
Article
ISSN
0960-0779

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

Hopf bifurcation in a prototype delayed
Hopf bifurcation in a prototype delayed system
✍ Chunguang Li; Xiaofeng Liao; Juebang Yu 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 151 KB

A simple model described by an autonomous continuous delayed differential equation with one variable, proposed by Uc ßar, is considered in this paper. We will show that Hopf bifurcations occur in this simple system. The stability of bifurcating periodic solutions and the direction of Hopf bifurcatio

Degenerate Hopf Bifurcations in Disconti
Degenerate Hopf Bifurcations in Discontinuous Planar Systems
✍ B. Coll; A. Gasull; R. Prohens 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 150 KB

We study the stability of a singular point for planar discontinuous differential equations with a line of discontinuities. This is done, for the most generic cases, by computing some kind of Lyapunov constants. Our computations are based on the Ž . so called R, , p, q -generalized polar coordinates,