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A new two-dimensional discrete chaotic system with rational fraction and its tracking and synchronization

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  • Chang, Liang
  • Lu, Jun-An
  • Deng, Xiaoming

Abstract

This letter reports the finding of a novel two-dimensional discrete chaotic system. The new system is based on the recently proposed one-dimensional discrete chaotic system with rational fraction [J.-A. Lu, X. Wu, J. Lü, L. Kang. A new discrete chaotic system with rational fraction and its dynamical behaviors. Chaos, Solitons & Fractals 2004; 22: 311]. We studied the dynamical behavior and investigated its tracking and synchronization. Sufficient conditions for tracking and synchronization are deduced. Finally, numerical simulations are provided for illustration and verification.

Suggested Citation

  • Chang, Liang & Lu, Jun-An & Deng, Xiaoming, 2005. "A new two-dimensional discrete chaotic system with rational fraction and its tracking and synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 1135-1143.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:4:p:1135-1143
    DOI: 10.1016/j.chaos.2004.09.089
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    Cited by:

    1. Sabe, Naval R. & Pakhare, Sumit S. & Gade, Prashant M., 2024. "Synchronization transitions in coupled q-deformed logistic maps," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    2. Ziqi Zhou & Xuemei Xu & Zhaohui Jiang & Kehui Sun, 2023. "Multiple-Image Encryption Scheme Based on an N-Dimensional Chaotic Modular Model and Overlapping Block Permutation–Diffusion Using Newly Defined Operation," Mathematics, MDPI, vol. 11(15), pages 1-27, August.

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