以非线性振子Chua电路为例,基于李亚普诺夫稳定性理论,研究了线性耦合实现两个系统之间的完全同步.进一步通过构造指数型李亚普诺夫函数验证了此线性控制器的可靠性,数值结果验证了此方法的有效性.系统达到同步所需的暂态过程,控制器的平均功耗与耦合强度的大小有关.
参考文献
[1] | Kinzel W,Englert A,Kanter I.On chaos synchronization and secure communication[J].Phil.Trans.R Soc.A,2010,368:379-389. |
[2] | Luo X H,Li H Q,Chen Q H.A new method of adaptive tracking control for chaotic system[J].Acta Physica Sinica(物理学报), 2009,58(11):7532-7538 (in Chinese). |
[3] | Xu B R.A digital secure communication scheme based on generalized synchronization of non-autonomous chaotic system[J].Chinese Journal of Quantum Electronics(量子电子学报),2011,28(6):710-714 (in Chinese). |
[4] | Liu P Y,et al.Performance analysis of two types of chaotic optical secure communication schemes[J].Chinese Journal of Quantum Electronics(量子电子学报),2012,29(4):500-506 (in Chinese). |
[5] | Perc M,Marhl M.Resonance effects determine the frequency of bursting Ca2+ oscillations[J].Chem.Phys.Lett.,2003,376:432-437. |
[6] | Jang P Q,Zhou Y L,Luo X S,et al.Synchronization in unidirectionally coupled hyperchaotic oscillators with a single variable and its realization of circuit experimental simulations[J].Acta Physica Sinica(物理学报),2002,51(9):1937-1941 (in Chinese). |
[7] | Min F H,Wang Z Q.Coupled synchronization of the unified chaotic system[J].Acta Physica Sinica(物理学报),2005,54(9):4026-2030 (in Chinese). |
[8] | Sun J,Pan T,Xu G D.Spatiotemporal chaos synchronization in two-dimensional lattice arrays of locally coupled lasers[J].Chinese Journal of Quantum Electronics(量子电子学报),2009,26(6):708-714 (in Chinese). |
[9] | Chu R T,Wang C N,Ma J.Synchronization and estimation of jump parameter of one certain circuit[J].Chinese Journal of Quantum Electronics(量子电子学报),2010,27(1):82-87 (in Chinese). |
[10] | Sun R S,Hua D Y.Synchronization of local oscillations in a spatial Rock-Scissors-Paper game mode[J].Chin.Phys.Lett.,2009,26(8):086403-3. |
[11] | Guan J B.Synchronization control of two different chaotic systems with known and unknown parameters[J].Chin.Phys.Lett.,2010,27(2):020502-4. |
[12] | Andrievsky B.Adaptive synchronization methods for signal transmission on chaotic carriers[J].Math.Comput.Simul.,2002,58(4-6):285-293. |
[13] | Wang Q Y,Lu Q S,Wang H X.Transition to complete synchronization via nearly synchronization in two coupled chaotic neurons[J].Chin.Phys.,2005,14(11):2189-2195. |
[14] | Abdurahman K,Wang X Y,Zhao Y Z.Generalized synchronization of diverse structure chaotic systems[J].Chin.Phys.Lett.,2011,28(9):090503-4. |
[15] | Wang S,Yu Y G.Generalized projective synchronization of fractional order chaotic systems with different dimensions[J].Chin.Phys.Lett.,2012,29(2):020505-3. |
[16] | Wang J A,Liu H P.Adaptive synchronization of an array of time-varying coupled delayed neural networks[J].Chin.Phys.Lett.,2010,27(3):030505-4. |
[17] | Zheng Y A.Adaptive generalized projective synchronization of Takagi-Sugeno fuzzy drive-response dynamical networks with time delay[J].Chin.Phys.Lett.,2012,29(2):020502-4. |
[18] | Du Y,Sun W G,Li P C.Adaptive synchronization between two nonlinear coupled networks[J].Comm.on Appl.Math.and Compt.(应用数学与计算机学报),2009,23(2):87-94 (in Chinese). |
[19] | Liu B J,Cai L,Feng C W.Adaptive generalized synchronization of simple piecewise linear chaotic system and SETMOS chaotic system[J].Chinese Journal of Quantum Electronics(量子电子学报),2012,29(1):74-79 (in Chinese). |
[20] | Zhang Y,Lu S,Wang Y H.Synchronization of chaos in time-delayed systems under parameter mismatch[J].Chin.Phys.Lett.,2009,26(9):090501-4. |
[21] | Yu H J,Peng J H.Synchronization of nonlinear coupled hyper-chaotic RSssler systems and networks[J].Chinese Journal of Computational Physics (计算物理),2006,23(5):626-630 (in Chinese). |
[22] | Cang S J,Chen Z Q,Yuan Z Z.Analysis and circuit implementation of a new four-dimensional non-autonomous hyper-chaotic system[J].Acta Physica Sinica(物理学报), 2008,57(03):1493-1501 (in Chinese). |
[23] | Li F,Liu Q R,Guo H Y.Simulating the electric activity of FitzHugh-Nagumo neuron by using Josephson junction model[J].Nolinear Dynamics,2012,69:2169-2179. |
[24] | Luo Y J,Yu Q,Zhang W D.Research on impulsive synchronization approach of parameter uncertain hyperchaotic systems with time-delay[J].Acta Physica Sinica(物理学报), 2011,60(11):110504-8 (in Chinese). |
[25] | Jia L X,Dai H,et al.A new four-dimensional hyperchaotic Chen system and its generalized synchronization[J].Chin.Phys.B,2010,19(10):100501. |
[26] | Rosenblum M G,Pikovsky A S,Kurths J.Phase synchronization of chaotic oscillators[J].Phys.Rev.Lett.,1996,76:1804-1807. |
[27] | Sarasola C,Torrealdea F J,d'Anjou A,et al.Cost of synchronizing different chaos systems[J].Math.Comput.Simula.,2002,58:309-327. |
[28] | Perc M.Effects of small-world connectivity on noise-induced temporal spatial order in neural media[J].Chaos Solitons and Fractals,2007,31:280-291. |
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