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Hybrid offset boosting in a hyperchaotic map

Author

Listed:
  • Li, Chunbiao
  • Yu, Wanning
  • Moroz, Irene
  • Li, Yongxin
  • Zheng, Yuanjin

Abstract

Wide chaos-based applications require flexible regulation in a dynamical system; consequently, the non-bifurcation parameter becomes the focus of the system. In this work, two offset regulators are found in a 2D hyperchaotic map. The combination of two parameters realizes free hybrid offset boosting, including the attractor shift along the x-coordinate axis and along any other diagonal direction. Two regimes of multistability can also be defined by the parameters, where the 0-value parameter corresponds to the attractor self-reproducing, while the periodic distribution of one offset-regulator will also awaken the bistability. GOWIN FPGA-based circuit implementation verifies the flexible offset boosting driven by the two parameters.

Suggested Citation

  • Li, Chunbiao & Yu, Wanning & Moroz, Irene & Li, Yongxin & Zheng, Yuanjin, 2026. "Hybrid offset boosting in a hyperchaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 204(C).
    • Handle: RePEc:eee:chsofr:v:204:y:2026:i:c:s0960077925017485
    DOI: 10.1016/j.chaos.2025.117735
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    References listed on IDEAS

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    1. 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).
    2. Tareq Hamadneh & Souad Bensid Ahmed & Hassan Al-Tarawneh & Omar Alsayyed & Gharib Mousa Gharib & Maha S. Al Soudi & Abderrahmane Abbes & Adel Ouannas, 2023. "The New Four-Dimensional Fractional Chaotic Map with Constant and Variable-Order: Chaos, Control and Synchronization," Mathematics, MDPI, vol. 11(20), pages 1-19, October.
    3. Leutcho, Gervais Dolvis & Kengne, Jacques, 2018. "A unique chaotic snap system with a smoothly adjustable symmetry and nonlinearity: Chaos, offset-boosting, antimonotonicity, and coexisting multiple attractors," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 275-293.
    4. Li, Chunbiao & Sprott, Julien Clinton & Zhang, Xin & Chai, Lin & Liu, Zuohua, 2022. "Constructing conditional symmetry in symmetric chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
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