Compound bursting dynamics in a parametrically and externally excited mechanical system

作者: Mengke Wei , Wenan Jiang , Xindong Ma , Xiaofang Zhang , Xiujing Han

DOI: 10.1016/J.CHAOS.2020.110605

关键词:

摘要: Abstract This paper aims to report complex bursting dynamics in a parametrically and externally excited mechanical system. Typically, two compound patterns, i.e., of “supHopf/homoclinic-fold/supHopf” type “supHopf/supHopf-fold/supHopf” type, composed different clusters during each period bursting, can be observed this To begin with, the generation is investigated by fast-slow analysis. Then, two-parameter bifurcation diagram plotted investigate transition bursting. We show that there are originally disunited active areas, which may inosculate as whole homoclinic bifurcations if system parameter varies properly. Based on this, revealed.

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