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On the two bifurcations of a white-noise excited Hopf bifurcation system

✍ Scribed by Liu Xianbin; Chen Qiu; Chen Dapeng

Publisher
Springer
Year
1997
Tongue
English
Weight
693 KB
Volume
18
Category
Article
ISSN
0253-4827

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✦ Synopsis

The present work is concerned with the behavior of the second bfurcation of a Hopf bifurcation system excited b,v white-noise. It is found that the intervention of noises induces a dr$t of the bz@rcation point aiong with the subtantial change in bijurcation type.

πŸ“œ SIMILAR VOLUMES

HOPF BIFURCATION OF A TWO-DEGREE-OF-FREE
HOPF BIFURCATION OF A TWO-DEGREE-OF-FREEDOM VIBRO-IMPACT SYSTEM
✍ G.-W. Luo; J.-H. Xie πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 321 KB

The bifurcation problem of a two-degree-of-freedom system vibrating against a rigid surface is studied in this paper. It is shown that there exist Hopf bifurcations in the vibro-impact systems with two or more degrees of freedom under suitable system parameters. In the paper, a centre manifold theor