| Author Name | Affiliation | | LIU Hai-xia | School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, China
School of Mechanical and Electrical Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, China | | JIANG Bo | Institute of Optics and Precision Mechanic, Chinese Academy of Sciences, Xi’an 710119, China
Graduate University of Chinese Academy of Sciences, Beijing 100039, China | | WANG San-min | School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, China | | GUO Jia-shun | School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, China |
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| Abstract: |
| This paper employs a multi-parameter multi-step chaos control method, which is built up on the OGY method, to stabilize desirable UPOs of a gear system with elastomeric web as a high-dimensional and non-hyperbolic chaotic system, and the analyses are carried out. Three types of relations between components of a certain control parameter combination are defined in a certain control process. Special emphasis is put on the comparison of control efficiencies of the multi-parameter multi-step method and single-parameter multi-step method. The numerical experiments show the ability to switch between different orbits and the method can be a good chaos control alternative since it provides a more effective UPOs stabilization of high-dimensional and non-hyperbolic chaotic systems than the single-parameter chaos control, and according to the relation between components of each parameter combination, the best combination for chaos control in a certain UPO stabilization process are obtained. |
| Key words: chaos control, a gear system with elastomeric web, multi-parameter multi-step method, high-dimensional and non-hyperbolic system |
| DOI：10.11916/j.issn.1005-9113.2012.05.004 |
| Clc Number:TP113 |
| Fund: |
