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In recent years, the research on chaotic synchronization has received considerable attention [Pecora & Carroll, 1991; Curran & Chua, 1997; Curran et al., 1997; Suykens & Vandewalle, 1997; Chen & Dong, 1998; Suykens et al., 1999; Chen & Liu, 2000; Yalcin et al., 2001; Cao et al., 2005]. An overview of synchronization methods has been presented in [Chen &(More)
A feedback control method is proposed to create a degenerate Hopf bifurcation in three-dimensional maps at a desired parameter point. The particularity of this bifurcation is that the system admits a stable fixed point inside a stable Hopf circle, between which an unstable Hopf circle resides. The interest of this solution structure is that the asymptotic(More)
A linear metro that is propelled by a single-sided linear induction motor (SLIM) has recently attracted much attention. Compared with the rotating-induction-machine drive system, the SLIM drive has advantages such as direct thrust without needing friction between the wheel and the railway track, small cross-sectional area, lack of gear box, and flexible(More)
Tracing back to the initial state of a time-evolutionary process using a segment of historical time series may lead to many meaningful applications. In this paper, we present an estimation method that can detect the initial conditions, unobserved time-varying states and parameters of a dynamical (chaotic) system using a short scalar time series that may be(More)