×

Lag synchronization of chaotic systems with parameter mismatches. (English) Zbl 1221.37226

Summary: The paper studies the effect of parameter mismatch on lag synchronization of chaotic systems. It shall be shown that lag synchronization of coupled systems may weakly achieve, when parameter mismatch is small. The error bound of lag synchronization arising from the parameter mismatch is also estimated by rigorously theoretical analysis. Numerical simulations on Chua oscillator are presented to verify the theoretical results.

MSC:

37N35 Dynamical systems in control
34D06 Synchronization of solutions to ordinary differential equations
34K20 Stability theory of functional-differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Pecora, L. M.; Caroll, T. L., Phys Rev Lett, 64, 821 (1990)
[2] Caroll, T. L.; Pecora, L. M., IEEE Trans Circuits Syst, 38, 453 (1991)
[3] Rulkov, N. F.; Sushchik, M. M., Phys Rev E, 51, 980 (1995)
[4] Li, C. D.; Liao, X. F.; Wong, K. W., Physica D, 194, 187 (2004)
[5] Rosenblum, M. G.; Pikovsky, A. S., Phys Rev Lett, 76, 1804 (1996)
[6] Jia, Q., Phys Lett A, 370, 40 (2007)
[7] Voss, H. U., Phys Rev E, 61, 5115 (2000)
[8] Shahverdiev, E. M.; Nuriev, R. A.; Hashimov, R. H., Chaos, Solitons Fractals, 25, 325 (2005)
[9] Shahverdiev, E. M.; Nuriev, R. A.; Hashimova, L. H., Chaos, Solitons Fractals, 36, 211 (2008)
[10] Huang, T. W.; Li, C. D., Chaos, 17, 033121 (2007)
[11] Li, C. D.; Chen, G. R., Chaos, 16, 023102 (2006) · Zbl 1146.37326
[12] Sanchez, E. N.; Perez, J. P., IEEE Trans Circuits Syst, 46, 1395 (1999)
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.