Open AccessDEFINING THE CONTROLLING CONDITIONS OF LOW-DIMENSIONAL CHAOTIC SYSTEMS CONTROLLED BY TIME DELAYED FEEDBACK
Author(s) -
Yanyan Chen,
Jianhua Peng,
Shen Qi-hong,
Junjie Wei
Publication year - 2001
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.50.1871
Subject(s) - chaotic , control theory (sociology) , computer science , hopf bifurcation , variable (mathematics) , feedback control , relation (database) , chaotic systems , control (management) , bifurcation , mathematics , nonlinear system , physics , mathematical analysis , control engineering , artificial intelligence , quantum mechanics , engineering , database
Based on the occurrence conditions of Hopf bifurcation of a delay system and corresponding handling methods, we have proposed an analytic method for achieving the controlling conditions when a low-dimensional chaotic system is controlled by applying time-delayed feedback on a control variable. Using an analytic method, we can obtain the functional relation of various parameters at the critical points. This method has been applied to some examples and the results show that it is an important means to control chaotic systems.