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Analysis of the Time Series Generated by a New High-Dimensional Discrete Chaotic System

Author

Listed:
  • Chuanfu Wang
  • Chunlei Fan
  • Kai Feng
  • Xin Huang
  • Qun Ding

Abstract

The chaotic behavior of low-dimensional digital chaotic systems is seriously degraded, and the output sequence has a short period. In this study, a digital sequence generator based on a high-dimensional chaotic system is proposed to ensure performance and security. The proposed generator has low resource consumption, and the digital pseudo-random output sequence has a large period. To avoid the nonchaotic state, the multistability in the high-dimensional discrete chaotic system is analyzed. The statistical performance of the output sequence of the proposed digital high-dimensional chaotic system is evaluated, and the results demonstrate that it is a suitable candidate for a long-period pseudo-random sequence generator.

Suggested Citation

  • Chuanfu Wang & Chunlei Fan & Kai Feng & Xin Huang & Qun Ding, 2018. "Analysis of the Time Series Generated by a New High-Dimensional Discrete Chaotic System," Complexity, Hindawi, vol. 2018, pages 1-11, August.
    • Handle: RePEc:hin:complx:9818520
    DOI: 10.1155/2018/9818520
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    Cited by:

    1. Zheng, Jun & Hu, Hanping, 2022. "Bit cyclic shift method to reinforce digital chaotic maps and its application in pseudorandom number generator," Applied Mathematics and Computation, Elsevier, vol. 420(C).
    2. Rodrigo Méndez-Ramírez & Adrian Arellano-Delgado & Miguel Murillo-Escobar & César Cruz-Hernández, 2019. "Degradation Analysis of Chaotic Systems and their Digital Implementation in Embedded Systems," Complexity, Hindawi, vol. 2019, pages 1-22, December.

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