Chattering bifurcations in a Duffing unilateral vibro-impact system | Zendy

Jinqian Feng | Zendy; Wei Xu | Zendy; Yujun Niu | Zendy

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Chattering bifurcations in a Duffing unilateral vibro-impact system

Author(s) -

Jinqian Feng,

Wei Xu,

Yujun Niu

Publication year - 2010

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.59.157

Subject(s) - aperiodic graph , duffing equation , control theory (sociology) , computer science , mathematics , mechanics , physics , nonlinear system , artificial intelligence , combinatorics , control (management) , quantum mechanics

A tail-mapping is introduced to deal with the tail impacts caused by the chatteringand based on whichan effective numerical method is suggested to simulate the chattering in the vibro-impact system. As an illustrative examplea Duffing unilateral vibro-impact system is investigated. The results show the evidence of complete and incomplete chattering. We also investigate two novel chattering bifurcationsincluding transitions from complete to incomplete chattering and incomplete chattering period to aperiodic motion.

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