The domain of attraction for the target unstable periodic orbits in the time delayed feedback controlled Duffing systems was numerically discussed. The domain of attraction with self-similarity suggested that the success of the control sensitively depends on onset timing of control and disturbance on controlled systems. It was emphasized that the domain of attraction with self-similarity was not restricted within particular implementation of the control method or specific controlled objects. It was shown that the disturbance to initial conditions reveals that the domain of attraction possibly exhibits self-similar structures in its boundaries.
|Journal||Physical Review E - Statistical, Nonlinear, and Soft Matter Physics|
|Issue number||5 1|
|Publication status||Published - 2004 May 1|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics