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物理学报. 2010, 59(1): 38-43.
doi: 10.7498/aps.59.38.
一类时滞非线性相对转动系统的Hopf分岔与周期解的稳定性
- 收稿日期: 2009-04-17
- 修回日期: 2009-05-07
- 刊出日期: 2010-01-15
English Abstract
Hopf bifurcation and stability of periodic solutions in a nonlinear relative rotation dynamical system with time delay
- Received Date:
17 April 2009
- Accepted Date:
07 May 2009
- Published Online:
15 January 2010
Abstract: Hopf bifurcation in a nonlinear relative-rotation system with time delay is considerd, and the critical time delay associated with Hopf bifurcation is found. The time delays influence on the direction and stability of bifurcation are analyzed under the primary resonance condition with the aid of multiple scales. Finally, numerical simulations are performed to verify the analytical results.
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Keywords:
- relativel rotation /
- time delay /
- Hopf bifurcation /
- stability
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