期刊名称：Current Journal of Applied Science and Technology
印刷版ISSN：2457-1024
出版年度：2020
卷号：39
期号：35
页码：1-11
DOI：10.9734/cjast/2020/v39i3531048
语种：English
出版社：Sciencedomain International
摘要：Under ultra-subharmonic resonance, we investigate the chaos suppression of pendulum equation by using Melnikov methods, and get the conditions of suppressing chaos for homoclinic and heteroclinic orbits, respectively. At the same time, we give some numerical simulations including the bifurcation diagrams of system and corresponding phase diagrams, and observe that the chaos behaviors of system may be suppressed to period-n(n ∈ Z+) orbits by adjusting the value of Ψ. Although our results are only necessary, not sufficient. Numerical simulations show that our method is effect in suppressing chaos for this case.
