Trends in Applied Sciences Research1819-35792151-7908Science International10.3923/tasr.2008.129.141ElabbasyE.M. El-DessokyM.M. 2200832This study addresses the synchronization and adaptive synchronization problem of a hyperchaotic dynamical system with unknown system parameter. This technique is applied to achieve synchronization for hyperchaotic Lu system. Lyapunove direct method of stability is used to prove the asymptotic stability of solutions for the error dynamical system. Numerical simulations results are used to demonstrate the effectiveness of the proposed control strategy.]]>Barbara, C. and C. Silvano,200230625637Carroll, T.L. and L.M. Pecora,199138453456Elabbasy, E.M., H.N. Agiza and M.M.E. Dessoky,20063011331142Li, Y., S.K. Tang and G. Chen,20051533673375Liao, T.L. and N.S. Huang,19994611441150Matsumot, T., L.O. Chua and K. Kobayashi,19863311431147Neiman, A., X. Pei, D. Russell, W. Wojtenek, L. Wilkens and F. Moss,199982660663Ott, E., C. Grebogi and J.A. Yorke,19906411961199Pecora, L.M. and T.L. Carroll,199064821830Pyragas, K.,1992A170421428Rossler, O.E.,1979316376392Rossler, O.E.,197971155157Shahverdiey, E.M., R.A. Nuriev, R.H. Hashimov and K.A. Shore,20042004Serletis, A. and P. Gogas,199751359385Serletis, A. and P. Gogas,19992083103Serletis, A. and P. Gogas,200010615622Sneyers, R.,19978517532Tsubone, T. and T. Saito,1998145889894Udaltsov, V.S., J.P. Goedgebuer, L. Larger, J.B. Cuenot, P. Levy and W.T. Rhodes,200395114118Wang, X. and L. Tian,200421193200Yan, Z.,200516812391250Zhan, M., G. Hu and J. Yang,20006229632966Tao, C., C. Yang, Y. Luo, H. Xiong and F. Hu,200523259263