Lag synchronization of complex dynamical networks with noise coupling

In this paper, we investigate lag synchronization problem of complex dynamical network with noise coupling. Based on the theory of stochastic differential equations, we obtain the sufficient conditions about lag synchronization of complex network with noise coupling. The theoretical results show that lag synchronization could be achieved via white-noise-based coupling. Finally, numerical simulations are presented to demonstrate the effectiveness of proposed schemes.

[1]  Guanrong Chen,et al.  Using white noise to enhance synchronization of coupled chaotic systems. , 2006, Chaos.

[2]  Adilson E Motter,et al.  Heterogeneity in oscillator networks: are smaller worlds easier to synchronize? , 2003, Physical review letters.

[3]  L. Chua,et al.  A universal circuit for studying and generating chaos. I. Routes to chaos , 1993 .

[5]  Hiroshi Kori,et al.  Noise-induced synchronization of a large population of globally coupled nonidentical oscillators. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  X. Mao,et al.  Stochastic Differential Equations and Applications , 1998 .

[7]  Qingkai Kong,et al.  Synchronization in complex dynamical networks with interval time-varying coupling delays , 2013 .

[8]  Chunguang Li,et al.  Synchronization in general complex dynamical networks with coupling delays , 2004 .

[9]  Wei Lin,et al.  Complete synchronization of the noise-perturbed Chua's circuits. , 2005, Chaos.

[10]  Jinde Cao,et al.  Pinning synchronization of delayed dynamical networks via periodically intermittent control. , 2009, Chaos.

[11]  L. Chua,et al.  A universal circuit for studying and generating chaos. II. Strange attractors , 1993 .

[12]  Wei Xu,et al.  The effect of noise on the complete synchronization of two bidirectionally coupled piecewise linear chaotic systems. , 2009, Chaos.

[13]  Ying Zhang,et al.  Experimental investigation of partial synchronization in coupled chaotic oscillators. , 2003, Chaos.

[14]  Zengrong Liu,et al.  Periodically intermittent controlling complex dynamical networks with time-varying delays to a desired orbit , 2009 .

[15]  W. Zheng,et al.  Generalized outer synchronization between complex dynamical networks. , 2009, Chaos.

[16]  S. R. Lopes,et al.  Chaotic phase synchronization in scale-free networks of bursting neurons. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  Sun Yong-Zheng,et al.  Synchronization between two different chaotic systems with noise perturbation , 2010 .

[18]  Jürgen Kurths,et al.  Generalized synchronization between two different complex networks , 2012 .

[19]  Donghua Zhao,et al.  Effects of noise on the outer synchronization of two unidirectionally coupled complex dynamical networks. , 2012, Chaos.

[20]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[21]  Jinde Cao,et al.  Finite-time synchronization of complex networks with nonidentical discontinuous nodes , 2013, Nonlinear Dynamics.

[22]  Sun Yong-Zhengab.  Synchronization between two different chaotic systems with noise perturbation , 2010 .

[23]  Zhengquan Yang,et al.  Adaptive linear generalized synchronization between two nonidentical networks , 2012 .

[24]  Wang Li,et al.  Generalized outer synchronization between complex dynamical networks with time delay and noise perturbation , 2013, Commun. Nonlinear Sci. Numer. Simul..

[25]  Song Zheng,et al.  Impulsive synchronization of complex networks with non-delayed and delayed coupling , 2009 .

[26]  T. Carroll,et al.  MASTER STABILITY FUNCTIONS FOR SYNCHRONIZED COUPLED SYSTEMS , 1999 .

[27]  Dongbing Tong,et al.  Adaptive exponential synchronization in pth moment for stochastic time varying multi-delayed complex networks , 2013 .

[28]  Ruan Jiong,et al.  Finite-Time Generalized Outer Synchronization Between Two Different Complex Networks , 2012 .

[29]  Yonghui Sun,et al.  Synchronization in an array of linearly stochastically coupled networks with time delays , 2007 .

[30]  Xiao Fan Wang,et al.  Synchronization in scale-free dynamical networks: robustness and fragility , 2001, cond-mat/0105014.

[31]  Maurizio Porfiri,et al.  Criteria for global pinning-controllability of complex networks , 2008, Autom..

[32]  Mohammad Bagher Menhaj,et al.  Pinning impulsive Synchronization of Complex Dynamical Networks , 2012, Int. J. Bifurc. Chaos.

[33]  Jurgen Kurths,et al.  Synchronization in complex networks , 2008, 0805.2976.

[34]  Liang Chen,et al.  Adaptive synchronization between two complex networks with nonidentical topological structures , 2008 .

[35]  Wei Wu,et al.  Global Synchronization Criteria of Linearly Coupled Neural Network Systems With Time-Varying Coupling , 2008, IEEE Transactions on Neural Networks.

[36]  Chibing Hu,et al.  The complete synchronization of Morris–Lecar neurons influenced by noise , 2013 .

[37]  Shihua Chen,et al.  Pinning synchronization of the complex networks with non-delayed and delayed coupling , 2009 .

[38]  Wenwu Yu,et al.  On pinning synchronization of complex dynamical networks , 2009, Autom..

[39]  Tianping Chen,et al.  Synchronization analysis of linearly coupled systems described by differential equations with a coupling delay , 2006 .

[40]  Yong Xu,et al.  Theoretical analysis of multiplicative-noise-induced complete synchronization in global coupled dynamical network. , 2012, Chaos.

[41]  Yong-zheng Sun,et al.  Finite-time stochastic outer synchronization between two complex dynamical networks with different topologies. , 2012, Chaos.

[42]  Huaguang Zhang,et al.  Observer-based lag synchronization between two different complex networks , 2014, Commun. Nonlinear Sci. Numer. Simul..

[43]  S. Jeeva Sathya Theesar,et al.  Synchronization of chaotic nonlinear continuous neural networks with time-varying delay , 2011, Cognitive Neurodynamics.