| [1] S. W. Shaw and P. L. Holmes, A periodically forced piece-wise linear oscillator, Journal of Sound and Vibration, 90,1 (1983), 129-155.
[2] 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(i988), 193-199.
[3] J. Guckenheimer and P. J. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields, New York:Springer-Verlag(1983),102-116.
[4] Shu Zhdngzhou, Motion types and chaos of multi-body systems vibrating with impacts, Acta Mechanica Sinica, 7. 4 (1991). 369-375.
[5] 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).
[6] 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).
[7] 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).
[8] Y. H. Wan, Computation of the stabity condition for the Hopf bifurcation of diffeomorphisms on R2, SIAM, J. Appl. Math., 34, 1 (1978). |
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