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Codimension two bifurcations and hopf bifurcations of an impacting vibrating system

✍ Scribed by Xie Jianhua

Publisher
Springer
Year
1996
Tongue
English
Weight
548 KB
Volume
17
Category
Article
ISSN
0253-4827

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✦ Synopsis

Bifurcation problems of. a spring-mass syste9 vibrating agqznst an infinite large plane are studied in this paper. It is shown that tyere exist phenomena of codimension two bifurc&io.ns when the ratios of frequencies ark in the neigborhood of the same special va?es and the"\oefficient of restitution approach-unity. By theory of normal forms, we reduce Pbincare maps to normal forms, and find flip bifurcations, Hopf bifurcations of fixed points and that of period hvo pointr Thp theoretical solutions are verified by numerical computations.

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