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Experimental study and synchronization of chen systems via single state unidirectional coupling

Jafari, S ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.1109/ICCAS.2007.4407043
  3. Publisher: 2007
  4. Abstract:
  5. Synchronization of two coupled Chen systems through one of their variables is experimentally studied in this paper. We explore the chaotic behavior of the rescaled Chen system by the bifurcation analysis and computing its Lyapunov exponents which these results are also verified by circuitry realization of the system. Also, using 0-1 test, the chaotic manner of the circuit signals is validated. Finally, we synchronize two Chen circuits using unidirectional continues coupling with only one state variable and show despite the presence of the noise and the fact that two implemented circuits are not completely identical; the circuits achieve complete synchronization. © ICROS
  6. Keywords:
  7. Bifurcation (mathematics) ; Chaos theory ; Differential equations ; Lyapunov methods ; Networks (circuits) ; Synchronization ; Telecommunication networks ; Bifurcation analyses ; Bifurcation diagram ; Chaos ; Chaotic behaviors ; Chen system ; Complete synchronizations ; Experimental studies ; Lyapunov exponents ; Single states ; State variables ; Unidirectional couplings ; Chaotic systems
  8. Source: International Conference on Control, Automation and Systems, ICCAS 2007, Seoul, 17 October 2007 through 20 October 2007 ; December , 2007 , Pages 963-967 ; 8995003871 (ISBN); 9788995003879 (ISBN)
  9. URL: https://ieeexplore.ieee.org/document/4407043