๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Codimension two bifurcation of a vibro-bounce system

โœ Scribed by Guanwei Luo; Yandong Chu; Yanlong Zhang; Jianhua Xie


Book ID
106331614
Publisher
The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences
Year
2005
Tongue
English
Weight
330 KB
Volume
21
Category
Article
ISSN
0567-7718

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


CODIMENSION-2 HOPF BIFURCATION OF A TWO-
โœ G.-L. WEN ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 312 KB

Codimension-2 Hopf bifurcation problem of a two-degree-of-freedom system vibrating against a rigid surface is investigated in this paper. The four-dimensional PoincareH map of the vibro-impact system is reduced to a two-dimensional normal form by virtue of a center manifold reduction and a normal fo

Dynamical behavior of vibro-impact machi
โœ G.W. Luo; Y.L. Zhang; J.N. Yu ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 959 KB

A dual component system with vibro-impact is considered. Local codimension two bifurcation of maps, involving a real eigenvalue and a complex conjugate pair escaping the unit circle simultaneously, is analyzed by using the center manifold and normal form method for maps. The period n single-impact m

HOPF BIFURCATION OF A TWO-DEGREE-OF-FREE
โœ G.-W. Luo; J.-H. Xie ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

Codimension two bifurcations and hopf bi
โœ Xie Jianhua ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Springer ๐ŸŒ English โš– 548 KB

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