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Experimental realization of synchronization in complex networks with Chua’s circuits like nodes

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  • Posadas-Castillo, C.
  • Cruz-Hernández, C.
  • López-Gutiérrez, R.M.

Abstract

In this paper, an experimental study on practical realization of synchronization in globally coupled networks with Chua’s circuits like nodes is presented. Synchronization of coupled multiple Chua’s circuits is achieved by appealing to results from complex systems theory. In particular, we design and implement electronically complex dynamical networks composed by three coupled Chua’s circuits, considering two scenarios: (i) without master node, and (ii) with (periodic and chaotic) master node. The interactions in the networks are defined by coupling the first state of each Chua’s circuit.

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  • Posadas-Castillo, C. & Cruz-Hernández, C. & López-Gutiérrez, R.M., 2009. "Experimental realization of synchronization in complex networks with Chua’s circuits like nodes," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1963-1975.
  • Handle: RePEc:eee:chsofr:v:40:y:2009:i:4:p:1963-1975
    DOI: 10.1016/j.chaos.2007.09.076
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    References listed on IDEAS

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    1. Zhang, Hai-Feng & Wu, Rui-Xin & Fu, Xin-Chu, 2006. "The emergence of chaos in complex dynamical networks," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 472-479.
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    6. Vincent, U.E., 2008. "Synchronization of identical and non-identical 4-D chaotic systems using active control," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1065-1075.
    7. Yan, Jun-Juh & Yang, Yi-Sung & Chiang, Tsung-Ying & Chen, Ching-Yuan, 2007. "Robust synchronization of unified chaotic systems via sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 947-954.
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    1. López-Gutiérrez, R.M. & Posadas-Castillo, C. & López-Mancilla, D. & Cruz-Hernández, C., 2009. "Communicating via robust synchronization of chaotic lasers," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 277-285.
    2. Xie, Qian & Si, Gangquan & Zhang, Yanbin & Yuan, Yiwei & Yao, Rui, 2016. "Finite-time synchronization and identification of complex delayed networks with Markovian jumping parameters and stochastic perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 35-49.

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