Open AccessPrecise periodic solutions and uniqueness of periodic solutions of some relative rotation nonlinear dynamic system
Author(s) -
Kun Wang,
Xinping Guan,
Qiao Jie-Min
Publication year - 2010
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.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.