Chaos Synchronization of Complex Network Based on Signal Superposition of Single Variable

Abstract Chaos synchronization of complex network with uncertain topological structure and coupling coefficient is used to study. By designing appropriate kinetic equation of network node, the chaos synchronization of the complex network is achieved. The unknown parameters and transported values of all the kinetic equations are identified simultaneously in the process of synchronization. When sets the parameter CT for a specific value, the transported values of complex network node is the superposition of specific parameter of passed node. Lorenz system is taken for example to demonstrate the effectiveness of the presented method for a complex network of arbitrary topological type, and the dynamics analysis of the Lorenz chaotic system is given, the results we get including the Lyapunov exponents spectrum and its corresponding bifurcation diagram, and its corresponding analysis of SE complexity algorithm and C0 complexity algorithm are analysis briefly. In this paper, 0–1 test is given respectively. Discusses the influence of parameters on the synchronization performance. It is found that the synchronization performance of the complex network is very stable.

[1]  Viet-Thanh Pham,et al.  Synchronization and circuit design of a chaotic system with coexisting hidden attractors , 2015 .

[2]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[3]  Long Huang,et al.  Parameters estimation, mixed synchronization, and antisynchronization in chaotic systems , 2014, Complex..

[4]  Zhi-Hong Guan,et al.  Chaos synchronization between Chen system and Genesio system , 2007 .

[5]  Saad Fawzi AL-Azzawi,et al.  Hybrid chaos synchronization between two different hyperchaotic systems via two approaches , 2017 .

[6]  Sundarapandian Vaidyanathan,et al.  Adaptive backstepping control, synchronization and circuit simulation of a 3-D novel jerk chaotic system with two hyperbolic sinusoidal nonlinearities , 2014 .

[7]  Louis M Pecora,et al.  Synchronization of chaotic systems. , 2015, Chaos.

[8]  Ju H. Park,et al.  Synchronization criterion for Lur'e type complex dynamical networks with time-varying delay , 2010 .

[9]  Qing-Long Han,et al.  Network-Based Synchronization of Delayed Neural Networks , 2013, IEEE Transactions on Circuits and Systems I: Regular Papers.

[10]  A. Azar,et al.  A robust method for new fractional hybrid chaos synchronization , 2017 .

[11]  Jingyu Yang,et al.  Adaptive synchronization in nonlinearly coupled dynamical networks , 2008 .

[12]  Ahmed Ezzat Matouk,et al.  Chaos synchronization of a fractional-order modified Van der Pol-Duffing system via new linear control, backstepping control and Takagi-Sugeno fuzzy approaches , 2016, Complex..

[13]  孙克辉,et al.  Analysis of Chaotic Complexity Characteristics Based on C0 Algorithm , 2013 .

[14]  Mohammad Shahzad,et al.  Global chaos synchronization of new chaotic system using linear active control , 2015, Complex..

[15]  Yao-Chen Hung,et al.  Paths to globally generalized synchronization in scale-free networks. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  L Chen,et al.  Synchronization with on-off coupling: Role of time scales in network dynamics. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  Everton J. Agnes,et al.  Synchronization regimes in a map-based model neural network , 2010 .

[18]  Hua Li,et al.  Chaos and Synchronization in Complex Fractional-Order Chua's System , 2016, Int. J. Bifurc. Chaos.

[19]  Shikha Singh,et al.  Control of New Type of Fractional Chaos Synchronization , 2017, AISI.

[20]  Choy Heng Lai,et al.  Adaptive–impulsive synchronization of uncertain complex dynamical networks , 2008 .

[21]  Abdesselem Boulkroune,et al.  Projective synchronization of two different fractional-order chaotic systems via adaptive fuzzy control , 2015, Neural Computing and Applications.

[22]  R Sevilla-Escoboza,et al.  Experimental approach to the study of complex network synchronization using a single oscillator. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  Qing-Long Han,et al.  Master-slave synchronization criteria for chaotic hindmarsh-rose neurons using linear feedback control , 2016, Complex..

[24]  刘璇,et al.  The 0-1 test algorithm for chaos and its applications , 2010 .

[25]  Dimitris Kugiumtzis,et al.  Detecting synchronization in coupled stochastic ecosystem networks , 2010 .

[26]  Ximei Liu,et al.  New criteria for the robust impulsive synchronization of uncertain chaotic delayed nonlinear systems , 2014, Nonlinear Dynamics.

[27]  Ljupco Kocarev,et al.  Synchronization in random networks with given expected degree sequences , 2008 .

[28]  Sundarapandian Vaidyanathan,et al.  Analysis, Adaptive Control and Synchronization of a Novel 4-D Hyperchaotic Hyperjerk System via Backstepping Control Method , 2016 .

[29]  Lü Ling,et al.  Lag synchronization of spatiotemporal chaos in a weighted network with ring connection , 2009 .

[30]  Shikha,et al.  Hybrid function projective synchronization of chaotic systems via adaptive control , 2017 .

[31]  Li Liu,et al.  Chaos Synchronization of Nonlinear Fractional Discrete Dynamical Systems via Linear Control , 2017, Entropy.

[32]  Ziyang Meng,et al.  Network Synchronization With Nonlinear Dynamics and Switching Interactions , 2014, IEEE Transactions on Automatic Control.