We study, from a quantitative point of view, the Hopf bifurcation in an ODE model of feedback control type introduced by Goodwin (1963) to describe the dynamics of end-product inhibition of gene activity. We formally prove that the exchange of linear stability of the positive equilibrium in the n-di
Hopf bifurcation analysis in the system
β Scribed by Bo Jiang; Xiujing Han; Qinsheng Bi
- Book ID
- 108226124
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 574 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1468-1218
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π SIMILAR VOLUMES
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.
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