Linear coupling-induced synchronization between periodic Chua oscillators

Yu-jun HE; Run-tong CHU; Fan LI

doi:10.3969/j.issn.1007-5461. 2013.05.015

[1] Kinzel W, Englert A, Kanter I. On chaos synchronization and secure communication ［J］. Phil. Trans. R Soc. A, 2010, 368: 379-389.

[5] Perc M, Marhl M. Resonance effects determine the frequency of bursting Ca2 + oscillations ［J］. Chem. Phys. Lett., 2003, 376: 432-437.

[10] Sun R S, Hua D Y. Synchronization of local oscillations in a spatial Rock-Scissors-Paper game mode ［J］. Chin. Phys. Lett., 2009, 2(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.

[20] Zhang Y, Lu S, Wang Y H. Synchronization of chaos in time-delayed systems under parameter mismatch ［J］. Chin. Phys. Lett., 2009, 2(9): 090501-4.

[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.

[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.