An analytical method of the degenerate Hopf bifurcation is proposed for vibro-impact systems. The phenomenon of the bifurcation and its complicated dynamics are observed. This type of bifurcation originates multi-coexisting solutions dependent of the initial state of the system.
Onset of Degenerate Hopf Bifurcation of a Vibro-Impact Oscillator
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, July 4, 2002, final revision, January 27, 2004. Associate Editor: A. A. Ferri.
Wen , G., Xie , J., and Xu , D. (September 7, 2004). "Onset of Degenerate Hopf Bifurcation of a Vibro-Impact Oscillator ." ASME. J. Appl. Mech. July 2004; 71(4): 579–581. https://doi.org/10.1115/1.1767163
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