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A versatile mathematical function for generating stable and chaotic systems: A data encryption application

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  • Belmar-Monterrubio, Ramiro
  • Quiroz-Ibarra, J. Emilio
  • Cervantes-Sodi, Felipe

Abstract

Being the generation of chaos through a practical function still a current challenge, here we present a new function called Tukmuky Jinma’any-Function (TJF), highly programable, that generates chaos for practical applications. TJF provides complex behaviour with easy implementation, generating either periodic, quasi-periodic, weak, or strong chaotic trajectories.

Suggested Citation

  • Belmar-Monterrubio, Ramiro & Quiroz-Ibarra, J. Emilio & Cervantes-Sodi, Felipe, 2023. "A versatile mathematical function for generating stable and chaotic systems: A data encryption application," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    • Handle: RePEc:eee:chsofr:v:167:y:2023:i:c:s0960077922012267
    DOI: 10.1016/j.chaos.2022.113047
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    1. Apostolos Argyris & Dimitris Syvridis & Laurent Larger & Valerio Annovazzi-Lodi & Pere Colet & Ingo Fischer & Jordi García-Ojalvo & Claudio R. Mirasso & Luis Pesquera & K. Alan Shore, 2005. "Chaos-based communications at high bit rates using commercial fibre-optic links," Nature, Nature, vol. 438(7066), pages 343-346, November.
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    3. Xiaoqiang Di & Jinqing Li & Hui Qi & Ligang Cong & Huamin Yang, 2017. "A semi-symmetric image encryption scheme based on the function projective synchronization of two hyperchaotic systems," PLOS ONE, Public Library of Science, vol. 12(9), pages 1-29, September.
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