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

Kun Wang | Zendy; Guan Xinping | Zendy; Qiao Jie-Min | Zendy

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

Author(s) -

Kun Wang,

Guan Xinping,

Qiao Jie-Min

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.59.3648

Subject(s) - uniqueness , nonlinear system , rigidity (electromagnetism) , mathematical analysis , limit (mathematics) , periodic system , forcing (mathematics) , physics , mathematics , quantum mechanics

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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