Period-doubling bifurcation and non-typical route to chaos of a two-degree-of-freedom vibro-impact system

Authors
Wen, GL Xie, JH
Citation
Gl. Wen et Jh. Xie, Period-doubling bifurcation and non-typical route to chaos of a two-degree-of-freedom vibro-impact system, J APPL MECH, 68(4), 2001, pp. 670-674
Citations number
6
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
ISSN journal
00218936 → ACNP
Volume
68
Issue
4
Year of publication
2001
Pages
670 - 674
Database
ISI
SICI code
0021-8936(200107)68:4<670:PBANRT>2.0.ZU;2-B
Abstract
A nontypical route to chaos of a two-degree-of-freedom vibro-impact system is investigated That is, the period-doubling bifurcations, and then the sys tem turns out to the stable quasi-periodic response while the period 4-4 im pact motion fails to be stable. Finally, the system converts into Chaos thr ough phrase locking of the corresponding four Hopf circles or through a fin ite number of times of torus-doubling.