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A new fractional-order 2D discrete chaotic map and its DSP implement

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Abstract

In the paper, a novel 2D discrete chaotic system was constructed and the solution of numeric of the matching fractional-order chaotic system is obtained. The dynamical behaviors of the discrete chaotic map are analyzed by attractor phase diagram, bifurcation diagram, maximum Lyapunov exponent and complexity analysis. Particularly, the fractal and the fractal dimension of discrete chaotic map is verified via the bifurcation diagram. Numerical simulation results show that the chaotic map has a variety of coexistence of attractors, such as the coexistence of chaos and chaos, the coexistence of chaos and period, and the coexistence of period and quasi-period. In addition, we also found that the position of the attractor’s trajectory in the phase space can be flexibly controlled by the parameter c. Finally, the chaotic map is achieved on the DSP platform. Experiments show that the discrete system has rich dynamical characteristics and has the vital prospect in the application of secure communication.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant no. 62061014); The Natural Science Foundation of Liaoning province (2020-MS-274); The Basic Scientific Research Projects of Colleges and Universities of Liaoning Province (Grant no. J202148).

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Authors and Affiliations

  1. School of Information Science and Engineering, Dalian Polytechnic University, Dalian, 116034, China

    Xintong Han, Jun Mou, Tianming Liu & Yinghong Cao

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  1. Xintong Han
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  2. Jun Mou
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  3. Tianming Liu
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  4. Yinghong Cao
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Contributions

Xintong Han carried out and designed the experiments, analyzed the data and wrote the manuscript. Yinghong Cao and Jun Mou made the theoretical guidance for this paper. Tianming Liu carried out the experiment. All the authors reviewed the manuscript.

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Correspondence to Jun Mou or Yinghong Cao.

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Han, X., Mou, J., Liu, T. et al. A new fractional-order 2D discrete chaotic map and its DSP implement. Eur. Phys. J. Spec. Top. 230, 3913–3925 (2021). https://doi.org/10.1140/epjs/s11734-021-00331-6

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