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A class of two-dimensional offset-boostable chaotic maps

Author

Listed:
  • Yu, Wanning
  • Li, Chunbiao
  • Ding, Zhenglong
  • Lei, Tengfei
  • Kapitaniak, Tomasz

Abstract

Multi-dimensional offset boosting is an important issue for chaos application, specifically it provides a new channel to obtain multiple unipolar signals for multi-carrier chaotic communication or multi-dimensional chaotic regulation. The conditions for two-dimensional offset boosting could be derived based on the feedback in chaotic map. After exhaustive computer-aided numerical simulation, a class of chaotic maps with two-dimensional offset boosting are constructed, where the offset boosting for two state variables can be achieved through a parameter enabling them to be unipolar sequence simultaneously. Four modes of offset boosting are derived including in-phase offset boosting, anti-phase offset boosting, dual-parameter bidirectional offset boosting, and hybrid offset boosting. Finally, all the chaotic maps are implemented on the RISC-V platform with microcontroller CH32V307, demonstrating the controllability of two-dimensional offset boosting.

Suggested Citation

  • Yu, Wanning & Li, Chunbiao & Ding, Zhenglong & Lei, Tengfei & Kapitaniak, Tomasz, 2025. "A class of two-dimensional offset-boostable chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).
    • Handle: RePEc:eee:chsofr:v:195:y:2025:i:c:s0960077925003741
    DOI: 10.1016/j.chaos.2025.116361
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