Ho, Ming-Chung; Hung, Yao-Chen; Chou, Chien-Ho Phase and anti-phase synchronization of two chaotic systems by using active control. (English) Zbl 1098.37529 Phys. Lett., A 296, No. 1, 43-48 (2002). Summary: Using techniques from active control theory, we demonstrate that two coupled chaotic systems can be phase and anti-phase synchronized. The techniques are applied to Lorenz, Rössler, and Chen systems. Cited in 63 Documents MSC: 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior 34H05 Control problems involving ordinary differential equations 37N35 Dynamical systems in control Keywords:Lorenz systems; Rössler systems; Chen systems PDFBibTeX XMLCite \textit{M.-C. Ho} et al., Phys. Lett., A 296, No. 1, 43--48 (2002; Zbl 1098.37529) Full Text: DOI References: [1] Pecora, L. M.; Carroll, T. L., Phys. Rev. Lett., 64, 821 (1990) [2] Pecora, L. M.; Carroll, T. L., Phys. Rev. A, 44, 2374 (1991) [3] Kocarev, L.; Parlitz, U., Phys. Rev. Lett., 74, 5028 (1995) [4] Pyragas, K., Phys. Lett. A, 181, 203 (1993) [5] Ding, M.; Ott, E., Phys. Rev. E, 49, R945 (1994) [6] Carroll, T. L.; Heagy, J. F.; Pecora, L. M., Phys. Rev. E, 54, 4676 (1996) [7] Pecora, L. M.; Parlitz, U., Phys. Rev. Lett., 76, 1816 (1996) [8] Rosa, E.; Ott, E.; Hess, M. H., Phys. Rev. Lett., 80, 1642 (1998) [9] Taherion, S.; Lai, Y. C., Phys. Rev. E, 59, R6247 (1999) [10] Liu, J.; Ye, C.; Zhang, S.; Song, W., Phys. Lett. A, 274, 27 (2000) [11] Bai, E.; Lonngrn, K. E., Chaos Solitons Fractals, 10, 1571 (1999) [12] Bai, E.; Lonngrn, K. E., Chaos Solitons Fractals, 11, 1041 (2000) [13] Agiza, H. N.; Yassen, M. T., Phys. Lett. A, 278, 191 (2001) [14] Rosenblum, M. G.; Pikovsky, A. S.; Kurths, J., Phys. Rev. Lett., 76, 1804 (1996) [15] Yalcinkaya, T.; Lai, Y. C., Phys. Rev. Lett., 79, 3885 (1997), and references therein [16] Fraser, A. M.; Swinney, Phys. Rev. A, 33, 1134 (1986) [17] Chern, J.-L., Phys. Rev. E, 50, 4315 (1994), and references therein This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.