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Precise periodic solutions and uniqueness of periodic solutions of some relative rotation nonlinear dynamic system

Guan Xin-Ping Qiao Jie-Min Wang Kun

Precise periodic solutions and uniqueness of periodic solutions of some relative rotation nonlinear dynamic system

Guan Xin-Ping, Qiao Jie-Min, Wang Kun
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  • Received Date:  06 June 2009
  • Accepted Date:  10 December 2009
  • Published Online:  05 March 2010

Precise periodic solutions and uniqueness of periodic solutions of some relative rotation nonlinear dynamic system

  • 1. (1)燕山大学电气工程学院,秦皇岛 066004; (2)燕山大学理学院,秦皇岛 066004; (3)燕山大学理学院,秦皇岛 066004;燕山大学电气工程学院,秦皇岛 066004

Abstract: The precise periodic solution and uniqueness of periodic solutions of some relative rotation nonlinear dynamical system possessing linear rigidity and nonlinear damping force and forcing periodic force is investigated. Firstly, the stability and uniqueness of limit cycles of a kind of autonomous nonlinear dynamical system are discussed. Secondly, the necessary condition of uniqueness of periodic solutions of the system is presented by using qualitative analysis method. The precise periodic solution of the system is obtained under certain conditions.

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