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Synchronization of simplest two-component Hartley’s chaotic circuits: influence of channel

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Abstract

Firstly, the synchronization problem of the simplest two-component Hartley chaotic systems is considered. A simple and effective controller is used to achieve synchronization between the drive and response systems. The proposed controller is built around a linear and a nonlinear parts with each contributing to the achievement of the synchronization process. The stability of the drive–response systems framework is proved through the Lyapunov stability theory. Secondly, the impact of channel on the signal coming from the drive system to synchronize the response system is taken into consideration. In this second part, the conditions to obtain synchronization between both master and slave systems are investigated. For the purpose of illustration, PSpice simulations are given as complement of the numerical analysis.

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Authors and Affiliations

  1. Research Group on Experimental and Applied Physics for Sustainable Development (EAPhySuD), Department of Physics, Faculty of Science, University of Dschang, P.O. Box 67, Dschang, Cameroon

    Robert Tchitnga & Patrick Louodop

  2. Laboratory of Electronics and Signals Processing, Department of Physics, Faculty of Science, University of Dschang, P.O. Box 412, Dschang, Cameroon

    Robert Tchitnga, Patrick Louodop & Hilaire Fotsin

  3. Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, Faculty of Science, University of Yaounde, I, P.O. Box 812, Yaounde, Cameroon

    Robert Tchitnga & Paul Woafo

  4. Laboratoire de Mécanique et de Modélisation des Systèmes, Faculté des Sciences, Université de Dschang, BP. 67, Dschang, Cameroun

    Anaclet Fomethe

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  1. Robert Tchitnga
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  2. Patrick Louodop
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  3. Hilaire Fotsin
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  4. Paul Woafo
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  5. Anaclet Fomethe
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Correspondence to Robert Tchitnga.

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Tchitnga, R., Louodop, P., Fotsin, H. et al. Synchronization of simplest two-component Hartley’s chaotic circuits: influence of channel. Nonlinear Dyn 74, 1065–1075 (2013). https://doi.org/10.1007/s11071-013-1024-3

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  • DOI: https://doi.org/10.1007/s11071-013-1024-3

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