𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hopf bifurcation in a three-dimensional system

✍ Scribed by Li De-ming; Huang Ke-lei

Publisher
Springer
Year
1989
Tongue
English
Weight
267 KB
Volume
10
Category
Article
ISSN
0253-4827

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Hopf bifurcation in a prototype delayed
Hopf bifurcation in a prototype delayed system
✍ Chunguang Li; Xiaofeng Liao; Juebang Yu πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 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

Hopf bifurcation in the LΓΌ system
Hopf bifurcation in the LΓΌ system
✍ Yongguang Yu; Suochun Zhang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 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.

Singular Hopf-bifurcation in a chemical
Singular Hopf-bifurcation in a chemical reaction-diffusion system
✍ M. Mimura; M. Nagayama; K. Sakamoto πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 299 KB

For a system of reaction-diffusion equations with a small parameter e > 0, modelling spatio-temporal patterns arising in chemical systems, a Hopf-bifurcation of equilibrium solutions with a sharp internal transition layer is established. The Hopf-bifurcation is singular in the sense that it cannot b