Open AccessControl of period-doubling bifurcation and chaos in a discrete nonlinear system by the feedback of states and parameter adjustment
Author(s) -
Luo Xiao-Shu,
Guanrong Chen,
Bing–Hong Wang,
Fang Jin-Qing,
Yanli Zou,
Quan Hong-Jun
Publication year - 2003
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.52.790
Subject(s) - period doubling bifurcation , attractor , control of chaos , periodic orbits , bifurcation , chaotic , nonlinear system , chaos (operating system) , control theory (sociology) , period (music) , feedback control , mathematics , physics , mathematical analysis , control (management) , synchronization of chaos , computer science , quantum mechanics , computer security , artificial intelligence , control engineering , engineering , acoustics
In this paper, the control of delaying period-doubling bifurcations and unstable periodic orbits embedded in a chaotic attractor of a discrete nonlinear dynamical system is effectively realized by using the state variables feedback and parameter variation. Moreover, the 2n periodic orbits of the system can be controlled into the 2m (m<n) periodic orbits by the methods proposed.