Open AccessChaos and the control of multi-time delay feedback for some nonlinear relative rotation system
Author(s) -
Wenming Zhang,
Xue Li,
Shuang Liu,
Yaqian Li,
Bohua Wang
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.094502
Subject(s) - chaotic , nonlinear system , control theory (sociology) , physics , rotation (mathematics) , excitation , computer science , control (management) , quantum mechanics , artificial intelligence
The dynamic equation of some nonlinear relative rotation system with two masses has been established, which contains a kind of nonlinear sick-slip friction. Chaotic motion and the control effect of multi-delay feedbacks of the nonlinear relative rotation system under external excitation are investigated. When the system is in chaos under external excitation, the multi-time delay is applied to control the chaotic motion. The chaotic critical conditions of parameters about Smale commutation are given in terms of Melnikov theory, while the influence of multi-delay feedbacks on the system movement state and chaotic critical conditions is studied. The control impacts of multi-time delay parameters on chaotic motion are studied by phase diagram, Poincare map and power spectrum, separately.