Open AccessUSING FINITE IMPULSE RESPONSE DIGITAL FILTER TO CONTROL CHAOS
Author(s) -
Luo Xiao-Shu,
Lingjiang Kong,
Qu Wan-Li
Publication year - 1998
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.47.1078
Subject(s) - attractor , lorenz system , hénon map , chaotic , impulse (physics) , infinite impulse response , digital filter , control theory (sociology) , periodic orbits , filter (signal processing) , computer science , finite impulse response , linear filter , control of chaos , impulse response , mathematical analysis , mathematics , physics , control (management) , algorithm , synchronization of chaos , classical mechanics , artificial intelligence , computer vision
Finite impulse response digital filter was used to stabilize the unstable periodic orbits (UPO) embedded in a chaotic attractor of differential dynamic system and two-dimensional map; and thus high periodic orbits was controlled. As examples we studied the Lorenz system and Henon map. A preliminary analysis and results of numerical analogy are presented. The advantages of this method are that it does not need to know the linear properities and the periodicity about a UPO or that of the UPO extracted from the chaotic attractor. The choice of control parameter is independent of the controlled chaotic system.