Codimension two bifurcations and hopf bifurcations of an impacting vibrating system
Tóm tắt
Từ khóa
Tài liệu tham khảo
S. W., Shaw and P. L., Holmes, A periodically forced piece-wise linear oscillator, Journal of Sound and Vibration, 90, 1 (1983), 129?155.
P. C., Tung and S. W., Shaw, The dynamics of an impact print hammer, Journal of Vibration, Acoustics, Stress and Reliability in Design, 110, 4 (1988), 193?199.
J., Guckenheimer and P. J., Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields, New York: Springer-Verlag (1983), 102?116.
Shu, Zhongzhou, Motion types and chaos of multi-body systems vibrating with impacts. Acta Mechanica Sinica, 7, 4 (1991), 369?375.
H. Ishihana, Y. Takagi and S. Maezawa, Analysis of impact vibration to deltafunction method-care of one degree-of-freedom system, first report: prefectly elastic collision, 20th Japan Nat. Congress for Applied Mechanics, Tokyo (1970).
Xie, Jianhua, The study of bifurcation problems of shaker, in Shu, Zhongzhou (ed.). The Study of Stability, Vibration, Bifurcation and Chaos, Beijing: The Scientific and Technological Press (1992).
O. E., Lanford, Bifurcation of periodic solution into invariant tori: The work of Ruelle and Takens, Lecture Notes in Math., 322, Berlin-Heidelberg, New York, Springer-Verlag (1973).
