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Design of coupling for synchronization in chaotic maps

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Abstract

We present a design of coupling to achieve targeted synchronization in two parameter mismatched chaotic discrete dynamical systems. The coupling design is of open-plus-closed-loop type for which a suitable stability criterion is derived. Numerically the proposed coupling design is illustrated using the 1D logistic map, 2D and 3D Henon maps. Experimental realization of the targeted coherent dynamics is presented using 1D logistic map.

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Acknowledgments

We express our sincere thanks to S. K. Dana for enlightening discussions.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology Durgapur, Durgapur, 713 209, India

    Pinaki Pal

  2. Department of Physics, National Institute of Technology Durgapur, Durgapur, 713 209, India

    Sanghamitra Debroy & Mrinal Kanti Mandal

  3. Department of Mathematics and Statistics, University of Technology and Management, Shillong, 793 003, India

    Ranjib Banerjee

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  1. Pinaki Pal
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  2. Sanghamitra Debroy
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Correspondence to Pinaki Pal.

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Pal, P., Debroy, S., Mandal, M.K. et al. Design of coupling for synchronization in chaotic maps. Nonlinear Dyn 79, 2279–2286 (2015). https://doi.org/10.1007/s11071-014-1810-6

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