Open AccessPeriodic solution of relative rotation nonlinear dynamic model with commonly damped force and forcing periodic force
Author(s) -
Xiaojing Li,
Chen Xuan-Qing
Publication year - 2012
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.61.210201
Subject(s) - uniqueness , continuation , forcing (mathematics) , nonlinear system , coincidence , quasi periodic , restoring force , rotation (mathematics) , periodic potential , periodic sequence , physics , mathematical analysis , classical mechanics , mathematics , computer science , geometry , quantum mechanics , medicine , alternative medicine , pathology , astrophysics , programming language
The periodic problem of the corresponding autonomous system is discussed. Some results on the existence and uniqueness of periodic solutions of the system are obtained by using the continuation theorem of coincidence degree theory. The results available from the literature are generalized. Furthermore, an example is given to illustrate our results are new.