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Traveling wave induced periodic synchronous patterns in coupled discontinuous systems and its potential application

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Abstract

Periodic synchronous patterns induced by the traveling waves in coupled discontinuous map lattices are investigated by numerical simulation. The formation mechanism of this behavior is analyzed in detail. The results show that the periodic synchronous patterns arise from the competition between different homogeneous states and are a function of their relative sizes. Periodic synchronous patterns can be controlled by varying the system parameters, and changing even a single node may influence the system. As an potential application of periodic synchronous patterns in secure communications, a preliminary scheme is proposed and verified by example.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant Nos. 11205006, 11647006), the Natural Science New Star of Science and Technologies Research Plan in Shaanxi Province of China (Grant No. 2014KJXX-77), and the Natural Science Foundation of Shaanxi Province, China (Grant No. 2018JM1034). We thank LetPub (www.letpub.com) for its linguistic assistance during the preparation of this manuscript.

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Authors and Affiliations

  1. College of Physics and Optoelectronic Technology, Baoji University of Arts and Sciences, Baoji, 721016, China

    Ke-Li Yang, Xiao-Jing Zhuo, Chun-Yan Xia & Lei Wang

  2. Institute of Mechanical Engineering, Baoji University of Arts and Sciences, Key Laboratory of Manufacturing and Assessment Technology for Industrial Robot and Its Major Component, Baoji, 721016, China

    Can-Jun Wang & Peng Fu

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  1. Ke-Li Yang
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Yang, KL., Zhuo, XJ., Wang, CJ. et al. Traveling wave induced periodic synchronous patterns in coupled discontinuous systems and its potential application. Nonlinear Dyn 102, 2783–2792 (2020). https://doi.org/10.1007/s11071-020-06065-9

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