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所属单位：理学院

发表刊物：INTERNATIONAL JOURNAL OF MODERN PHYSICS B

关键字：Carbon nanotube chaotic motion subharmonic bifurcation

摘要：In this paper, by employing both analytical and numerical methods, global dynamic responses including subharmonic bifurcations and chaos are investigated for a carbon nanotube supported by a Winkler and Pasternak foundation. The criteria of chaos arising from transverse intersections for stable and unstable manifolds of homoclinic orbits are proposed with the Melnikov method. The critical curves separating the chaotic and nonchaotic regions are plotted in the parameter plane. The parameter conditions for subharmonic bifurcations are also obtained by the subharmonic Melnikov method. It is proved rigorously that the route to chaos for this model is infinite subharmonic bifurcations. The stability of subharmonic bifurcations is also studied by the characteristic multipliers. Numerical simulations are given to confirm the analytical results.

ISSN号：0217-9792

是否译文：否

发表时间：2019-07-30

合写作者：陈芳启,Zhao, Ziman

通讯作者：周良强