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Hopf bifurcation analysis of the Lü system

✍ Scribed by Yongguang Yu; Suochun Zhang

Book ID
108088295
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
366 KB
Volume
21
Category
Article
ISSN
0960-0779

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📜 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.

HOPF BIFURCATION ANALYSIS OF A ROTOR/SEA
HOPF BIFURCATION ANALYSIS OF A ROTOR/SEAL SYSTEM
✍ Q. DING; J.E. COOPER; A.Y.T. LEUNG 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 268 KB

The Hopf bifurcation behaviour of a symmetric rotor/seal system was investigated using Muszynska's non-linear seal #uid dynamic force model. For a perfectly balanced system, the instability from certain critical equilibrium positions is proved to be the result of Hopf bifurcation and only the superc