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Complexity enhancement and grid basin of attraction in a locally active memristor-based multi-cavity map

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  • Zhao, Qianhan
  • Bao, Han
  • Zhang, Xi
  • Wu, Huagan
  • Bao, Bocheng

Abstract

The complexity of memristive chaotic systems determines whether it is suitable for applications in different subjects. To enhance complexity both in performance and diversity, this article first proposes a discrete model of locally active memristor (LAM) and conceives a three-dimensional memristive multi-cavity map by coupling LAM with the existing sine and cosine modulation (SCM) map. This map is named LAM-SCM map and has numerous independent fixed points with different stabilities. Numerical simulations reveal the memristive parameters-relied lossless displacement and self-shift of multi-cavity attractors, indicating the dynamical effects of LAM on the existing SCM map. The initial-relied dynamics distributions are disclosed by grid basins of attraction, showing the emergence of initial-boosting coexistence. Besides, the performance comparisons verify the superiority of LAM-SCM map over the existing SCM map. Finally, a hardware platform has been developed on FPGA to implement the LAM-SCM map and the captured attractors validate the numerical results. On this basis, we devise a 32-bit pseudorandom number generator (PRNG) based on chaos and implement it on the FPGA-based hardware platform to obtain high-speed and reconfigurable pseudorandom numbers. The results show that the proposed map has enhanced chaos complexity and rich dynamics diversity, which ensures the availability of hardware PRNG.

Suggested Citation

  • Zhao, Qianhan & Bao, Han & Zhang, Xi & Wu, Huagan & Bao, Bocheng, 2024. "Complexity enhancement and grid basin of attraction in a locally active memristor-based multi-cavity map," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    • Handle: RePEc:eee:chsofr:v:182:y:2024:i:c:s0960077924003217
    DOI: 10.1016/j.chaos.2024.114769
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    References listed on IDEAS

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    1. Fan, Zhenyi & Sun, Xu & Zhao, Jingjing & Zhang, Chenkai & Du, Baoxiang, 2024. "Dynamics analysis and feasibility verification of a 3D discrete memristive chaotic map with multi-vortex-like volume behavior," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).

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