Generalized synchronization of continuous chaotic system

Chaos, Solitons & Fractals - Tập 27 - Trang 97-101 - 2006
Yan-Wu Wang1, Zhi-Hong Guan1
1Huazhong University of Science and Technology, Wuhan 430074, PR China

Tài liệu tham khảo

Fujisaka, 1983, Stability theory of synchronized motion in coupled-oscillator systems, Progr Theor Phys, 69, 32, 10.1143/PTP.69.32 Pecora, 1990, Synchronization in chaotic system, Phys Rev Lett, 64, 821, 10.1103/PhysRevLett.64.821 Wang, 2003, Feedback and adaptive control for the synchronization of Chen system via a single variable, Phys Lett A, 312, 34, 10.1016/S0375-9601(03)00573-5 Fradkov, 1996, Speed gradient control of chaotic continuous-time systems, IEEE Trans Circuits Syst I, 43, 907, 10.1109/81.542281 Nijmeijer, 1997, An observer looks at synchronization, IEEE Trans Circuits Syst I, 44, 882, 10.1109/81.633877 Itoh, 2001, Conditions for impulsive synchronization of chaotic and hyperchaotic systems, Int J Bifur Chaos, 11, 551, 10.1142/S0218127401002262 Wang, 2004, Impulsive synchronization for a class of continuous systems, Chaos, 14, 199, 10.1063/1.1644351 Rulkov, 1995, Generalized synchronization of chaos in directionally coupled chaotic systems, Phys Rev E, 51, 980, 10.1103/PhysRevE.51.980 Kocarev, 1996, Generalized synchronization, predictability and equivalence of unidirectionally coupled systems, Phys Rev Lett, 76, 1816, 10.1103/PhysRevLett.76.1816 Abarbanel, 1996, Generalized synchronization of chaos: The auxiliary system approach, Phys Rev E, 53, 4528, 10.1103/PhysRevE.53.4528 Pyragas, 1996, Weak and strong synchronization of chaos, Phys Rev E, 54, R4508, 10.1103/PhysRevE.54.R4508 Parlitz, 1997, Subharmonic entrainment of unstable period orbits and generalized synchronization, Phys Rev Lett, 79, 3158, 10.1103/PhysRevLett.79.3158 Parlitz, 1999, Nonidentical synchronization of identical systems, Int J Bifur Chaos, 9, 2305, 10.1142/S0218127499001796 Afraimovich V, Cordonet A, Rulkov NF. Generalized synchronization of chaos in noninvertible maps. Phys Rev E 2002;66:016208-1–6. Zhan M, Wang X, Gong X, Wei GW, Lai C-H. Complete synchronization and generalized synchronization of one-way coupled time-delay systems. Phys Rev E 2003;68:036208-1–5. Yang, 1999, Generalized synchronization of chaos via linear transformations, Int J Bifur Chaos, 9, 215, 10.1142/S0218127499000092 Cincotti S, Teglio A. Generalized synchronization on linear manifold in coupled nonlinear systems. ISCAS 2002;3:III-61–4. Yang, 2002, Some observer-based criteria for discrete-time generalized chaos synchronization, Chaos, Solitons & Fractals, 13, 1303, 10.1016/S0960-0779(01)00127-8 Liu, 2004, Nonlinear feedback-controlled generalized synchronization of spatial chaos, Chaos, Solitons & Fractals, 22, 35, 10.1016/j.chaos.2003.12.024