Uncertain Chua system chaos synchronization using single variable feedback based on adaptive technique

Synchronization of nonlinearly coupled networks of Chua oscillators

“…The problem of the synchronization of two identical Chua oscillators via the first state variable by linear coupling addressed in Corollary 4 has been also successfully tackled in Chen et al (2010Chen et al ( , 2012 for the case of γ = 0 by employing the Lyapunov method. The constraint on the coupling constant obtained in Chen et al (2010Chen et al ( , 2012 reads as k > α|a|, which is less a conservative condition compared to (21). However, the applicability of Theorem 3 is more general even in the case of two oscillators due to the possibility of γ = 0.…”

“…Synchronization of two linearly coupled Chua oscillators has been studied in Wu and Chua (1994); Wang and Liu (2006); Bowong and Tewa (2009); Wang et al (1999); Zheng et al (2002); Chen et al (2010Chen et al ( , 2012. In Wu and Chua (1994) it is conjectured that synchronization between two chaotic Chua circuits can be achieved by using the second state as the feedback variable for sufficiently large coupling constant.…”

“…Using the LaSalle invariance principle, a linear low-gain controller that exploits a single variable feedback (first state coordinate x 1 ) has been constructed in Chen et al (2010). The robustness of this controller with respect to the perturbations of the parameters of Chua oscillators has been studied in Chen et al (2012). Practical synchronization of chaotic systems with uncertainties via adaptive coupling mechanism has been investigated in Bowong and Tewa (2009).…”