Open AccessChaos control of a modified coupled dynamos system
Author(s) -
Xingyuan Wang,
Xiangjun Wu
Publication year - 2006
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.55.5083
Subject(s) - dynamo , chaotic , chaos (operating system) , control theory (sociology) , limit (mathematics) , control of chaos , stability (learning theory) , lyapunov function , feedback control , computer science , physics , statistical physics , mathematics , control (management) , synchronization of chaos , nonlinear system , mathematical analysis , control engineering , magnetic field , quantum mechanics , computer security , artificial intelligence , machine learning , engineering
This paper studies the problem of control ling the chaotic behavior of a modified coupled dynamos system. Two different methods, namely the feedback and non-feedback methods are used to control chaos in the modified coupled dynamos system. Based on the Lyapunov direct method and Routh-Hurwitz criteria, the conditions of suppressing chaos to unstable equilibrium points or unstable periodic orbits (limit cycles) are discussed, and they are proved theoretically. Numerical simulations show the effectiveness of the two different methods.