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An improved method in synchronization of chaotic systems. (English) Zbl 1122.37309

Summary: An improved strategy in synchronization of chaotic dynamics as contrasted with PC (L. Pecora and T. Carroll) method and KSC ( L. Kocarev, A. Shang, L. O. Chua) control idea is presented in this paper. Computer simulations are included to support the corresponding theoretical analysis and show the effectiveness of the method we give.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34C60 Qualitative investigation and simulation of ordinary differential equation models
37N35 Dynamical systems in control
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References:

[1] Pecora, L.; Carroll, T., Phys. Rev. Lett., 64, 821-824 (1990)
[2] He, R.; Vaidya, P. G., Phys. Rev., A46, 7387-7392 (1992)
[3] Kocarev, L.; Shang, A.; Chua, L. O., Int. J. of Bifurcation and Chaos, 3, 479-483 (1993) · Zbl 0873.34046
[4] Murali, K.; Lakshmanan, M., Int. J. of Bifurcation and Chaos, 3, 1057-1066 (1993) · Zbl 0894.58064
[5] Bernardo, M. D., Int. J. of Bifurcation and Chaos, 6, 557-568 (1996)
[6] Pecora, L.; Carroll, T., Phys. Rev., 44, 2374-2383 (1991)
[7] Carroll, T.; Pecora, L., Phys. D., 67, 126-140 (1993)
[8] Huang; Ruan, Commun. Nonlinear Sci. Numer. Simul., 3, 27-30 (1998)
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