Abstract
In this paper, finite subharmonic bifurcations have been discussed by means of some examples. It is found that for centrally symmetric system, under small disturbance, if it has two independant sequences of subharmonic bifurcations, the system passes to chaos (horeseshoe) through finite subharmonic bifurcations, and that for noncentrally symmetric system, the relation between subharmonic bifurcations and horseshoe is complicated.
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Zhengrong, L., Deming, L. The discussion about horseshoes and finite subharmonic bifurcations. Acta Mech Sinica 2, 373–379 (1986). https://doi.org/10.1007/BF02488479
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DOI: https://doi.org/10.1007/BF02488479