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A class of m-dimension grid multi-cavity hyperchaotic maps and its application

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  • Zhu, Wanting
  • Sun, Kehui
  • He, Shaobo
  • Wang, Huihai
  • Liu, Wenhao

Abstract

In this paper, a new closed-loop multiple modulation coupling (CMMC) method is proposed to construct an enhanced chaotic system. Based on the iterative chaotic map with infinite collapse (ICMIC) and Sinusoidal map, a class of hyperchaotic maps are constructed, and a new 3D-Hourglass chaotic map is proposed. Dynamics analyses show that the proposed systems have 3 positive Lyapunov exponents (LEs), large maximum Lyapunov exponents (MLE) and parameter space, good randomness, and high permutation entropy (PE) complexity. Interestingly, the original system exists lots of multiple coexistence attractor rings. In addition, the grid multi-cavity chaotic model of 3D-Hourglass is designed by using nonlinear hyperbolic tangent function, which significantly expands the phase space, and makes the translation control of the cavity smoother. Multi-cavity hyperchaotic map maintains the high complexity and rich dynamics of the original system. Finally, we implement it on DSP, and design Pseudorandom Number Generator (PRNG) as its applications.

Suggested Citation

  • Zhu, Wanting & Sun, Kehui & He, Shaobo & Wang, Huihai & Liu, Wenhao, 2023. "A class of m-dimension grid multi-cavity hyperchaotic maps and its application," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923002710
    DOI: 10.1016/j.chaos.2023.113370
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    References listed on IDEAS

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    Cited by:

    1. Othman Abdullah Almatroud & Viet-Thanh Pham & Giuseppe Grassi & Mohammad Alshammari & Sahar Albosaily & Van Van Huynh, 2023. "Design of High-Dimensional Maps with Sine Terms," Mathematics, MDPI, vol. 11(17), pages 1-10, August.
    2. Fan, Zhenyi & Zhang, Chenkai & Wang, Yiming & Du, Baoxiang, 2023. "Construction, dynamic analysis and DSP implementation of a novel 3D discrete memristive hyperchaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    3. Yao, Zhao & Sun, Kehui & He, Shaobo, 2024. "Energy variation rate synchronization for coupled chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).

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