Abstract
In this paper, we study the hybrid synchronization between two identical hyperchaotic Lu systems. Hybrid synchronization of hyperchaotic Lu system is achieved through synchronization of two pairs of states and anti-synchronization of the other two pairs of states. Active controls are designed to achieve hybrid synchronization between drive and response systems using the sum and difference of relevant variables of the chaotic systems. Numerical simulations are presented to evaluate the analysis and effectiveness of the controllers.
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References
L M Pecora and T L Carroll, Phys. Rev. Lett. 64, 821 (1990)
M G Rosenblum, A S Pikovsky and J Kurths, Phys. Rev. Lett. 76, 1804 (1996)
N F Rulkov, M M Sushchik and L S Tsimring, Phys. Rev. E51, 980 (1995)
M G Rosenblum, A S Pikovsky and J Kurths, Phys. Rev. Lett. 78, 4193 (1997)
S Boccaletti and D L Valladares, Phys. Rev. E62, 7497 (2000)
A E Hramov and A A Koronovskii, Chaos 14, 603 (2004)
A E Hramov and A A Koronovskii, Europhys. Lett. 72(6), 901 (2005)
R Mainieri and J Rehacek, Phys. Rev. Lett. 82, 304 (1999)
G H Li, Chaos Solitons Fractals 32, 1454 (2007)
G H Li, Chaos Solitons Fractals 32, 1786 (2007)
L Runzi, Phys. Lett. A372, 3667 (2008)
H Du, Q Zeng and C Wong, Phys. Lett. A372, 5402 (2008)
K S Sudheer and M Sabir, Phys. Lett. A373, 1847 (2009)
R-h Li, Appl. Math. Comput. 200, 321 (2008)
A Chen, J Lu, J Lu and S Yu, Physica A364, 103 (2006)
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Sebastian Sudheer, K., Sabir, M. Hybrid synchronization of hyperchaotic Lu system. Pramana - J Phys 73, 781–786 (2009). https://doi.org/10.1007/s12043-009-0145-1
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DOI: https://doi.org/10.1007/s12043-009-0145-1