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Novel One‐Dimensional Chaotic System and Its Application in Image Encryption

Author

Listed:
  • Zhiqiang Cheng
  • Wencheng Wang
  • Yuezhang Dai
  • Lun Li

Abstract

Designing a chaotic system with a simple structure and complex dynamic behavior is one of the main tasks of chaotic cryptography. This paper designs a new 1D chaotic system called 1D two‐parameters‐sin‐cos (1D‐TPSC). Compared with high‐dimensional chaotic systems, the 1D‐TPSC has a simple structure and is easy to implement with software. The Lyapunov exponent analyzes the parameter space of the 1D‐TPSC in a chaotic state. Furthermore, using sensitivity analysis, cobweb plot, and bifurcation diagram to verify that the sequence generated by 1D‐TPSC has good performance. In addition, the 1D‐TPSC has also been applied in chaotic image encryption. Arnold mapping is used to scramble the plaintext, and random XOR is used to diffuse the scrambled image. Simulation experiments show that the method can remarkably resist standard attack methods.

Suggested Citation

  • Zhiqiang Cheng & Wencheng Wang & Yuezhang Dai & Lun Li, 2022. "Novel One‐Dimensional Chaotic System and Its Application in Image Encryption," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:1720842
    DOI: 10.1155/2022/1720842
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    References listed on IDEAS

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    1. Fei Yu & Shuai Qian & Xi Chen & Yuanyuan Huang & Shuo Cai & Jie Jin & Sichun Du & Chong Fu, 2021. "Chaos-Based Engineering Applications with a 6D Memristive Multistable Hyperchaotic System and a 2D SF-SIMM Hyperchaotic Map," Complexity, Hindawi, vol. 2021, pages 1-21, March.
    2. Colince Welba & Dhanagopal Ramachandran & Alexendre Noura & Victor Kamdoum Tamba & Sifeu Takougang Kingni & Pascal Eloundou Ntsama & Pierre Ele, 2022. "Josephson Junction Model: FPGA Implementation and Chaos‐Based Encryption of sEMG Signal through Image Encryption Technique," Complexity, John Wiley & Sons, vol. 2022(1).
    3. Adélaïde Nicole Kengnou Telem & Cyrille Feudjio & Balamurali Ramakrishnan & Hilaire Bertrand Fotsin & Karthikeyan Rajagopal & Padmapriya Praveenkumar, 2022. "A Simple Image Encryption Based on Binary Image Affine Transformation and Zigzag Process," Complexity, Hindawi, vol. 2022, pages 1-22, January.
    4. Colince Welba & Dhanagopal Ramachandran & Alexendre Noura & Victor Kamdoum Tamba & Sifeu Takougang Kingni & Pascal Eloundou Ntsama & Pierre Ele & Akif Akgul, 2022. "Josephson Junction Model: FPGA Implementation and Chaos-Based Encryption of sEMG Signal through Image Encryption Technique," Complexity, Hindawi, vol. 2022, pages 1-14, February.
    5. Shamsa Kanwal & Saba Inam & Omar Cheikhrouhou & Kinza Mahnoor & Atef Zaguia & Habib Hamam & Jorge-Antonio Lopez-Renteria, 2021. "Analytic Study of a Novel Color Image Encryption Method Based on the Chaos System and Color Codes," Complexity, Hindawi, vol. 2021, pages 1-19, June.
    6. Adélaïde Nicole Kengnou Telem & Cyrille Feudjio & Balamurali Ramakrishnan & Hilaire Bertrand Fotsin & Karthikeyan Rajagopal, 2022. "A Simple Image Encryption Based on Binary Image Affine Transformation and Zigzag Process," Complexity, John Wiley & Sons, vol. 2022(1).
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    Cited by:

    1. Nanfak, Arnaud & Nkapkop, Jean de Dieu & Zourmba, Kotadai & Ngono, Joseph Mvogo & Moreno-López, Maria Fernanda & Tlelo-Cuautle, Esteban & Borda, Monica-Elena & Effa, Joseph Yves, 2026. "Dynamic analysis and FPGA implementation of a 2D fractional sine-cosine map for image encryption using bit-level permutation and genetic algorithm," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 240(C), pages 105-136.

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