Open AccessSynchronization of a class of time-varied nonlinear vibration system
Author(s) -
Weiyang Qin,
Wang Hong-Jin,
Jinfu Zhang
Publication year - 2007
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.56.4361
Subject(s) - synchronization (alternating current) , nonlinear system , control theory (sociology) , duffing equation , vibration , lyapunov exponent , lyapunov stability , stability (learning theory) , mechanical system , coupling (piping) , synchronization of chaos , class (philosophy) , computer science , action (physics) , physics , control (management) , acoustics , mechanical engineering , computer network , channel (broadcasting) , quantum mechanics , artificial intelligence , machine learning , engineering
For a class of nonautonomous nonlinear vibration systema corresponding derived system is constructed. A novel control method to realize the synchronization between the derived and the original system is presented. The method is proved by Lyapunov stability theory. The principle for choosing coupling parameters is given. For a Mathieu system excited by parameters and external forcethe simulation is carried out. The result shows that the derived system can achieve fast synchronization with the original system under the action of chaos. The simulation for Duffing system excited by quasi-periodic force shows that the derived system can reach synchronization with the original system under the quasi-periodic motion.