Open AccessUSING NONLINEAR DELAYED FEEDBACK ON POINCARE SECTION TO CONTROL CHAOS
Author(s) -
Shaopeng Yang,
Gang Tian,
Xu Shu-Shan,
Gang Hu
Publication year - 1996
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.45.1100
Subject(s) - attractor , poincaré map , chaotic , poincaré conjecture , nonlinear system , control theory (sociology) , section (typography) , control of chaos , feedback control , convergence (economics) , action (physics) , chaos (operating system) , hénon map , mathematics , mathematical analysis , computer science , control (management) , physics , synchronization of chaos , bifurcation , quantum mechanics , artificial intelligence , control engineering , computer security , economics , engineering , economic growth , operating system
A new method of the nonlinear delayed feedback on a Poincare section is used to stabilize the unstable periodic orbits (UPO) embedded in a chaotic attractor. As examples we studied the casee of Henon map and two-photon laser system with an injected signal. The advantages of this method are that it does not need to know the linear properties and the periodicity about a UPO or the one of the UPO extracted from the chaotic attractor, and the convergence to UPO does not depend on time of appling delayed feedback control action.