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The continuous Poincare-like cell mapping method and its application to nonlinear dynamics analysis of a bearing–rotor system
Authors:H Liu  L Yu  YB Xie  FS Yao
Affiliation:aXi'an JiaoTong University, Xi'an, Shaanxi 710049, People's Republic of China;bMinistry of Mechanical Engineering, 100823 Beijing, People's Republic of China
Abstract:Based on the idea of continuous cell mapping, an improved Poincare-like cell mapping method is developed. This method can be used for global analysis of nonlinear dynamic systems without missing the periodic solutions and the domains of attraction. A bearing–rotor system is analyzed by using this method, and the influences of initial conditions on transient movement are discussed in detail.
Keywords:nonlinear  cell mapping  rotor  bearing
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