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Dynamic Analysis and Circuit Design of a New 3D Highly Chaotic System and its Application to Pseudo Random Number Generator (PRNG) and Image Encryption

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Abstract

In this paper, a new 3D dynamical system with four quadratic nonlinear terms is presented. It is shown that the proposed chaotic system has two saddle-foci, unstable, equilibrium points. Thus, the proposed chaotic system exhibits self-excited chaotic attractors. Dynamical analysis methods such as Lyapunov exponents spectrum, bifurcation diagrams, and phase portraits are used to explore the complex dynamical behaviors of the proposed chaotic system and analyze its basic qualitative properties. It is shown that the maximal Lyapunov exponent (MLE) of the new chaotic system is 7.196, which is a high value. The proposed highly chaotic system exhibits high complexity and it will be very useful for applications in cryptography, encryption and secure communications. The physical feasibility of the proposed system is verified by implementing its electronic circuit schematic using Multisim software. Additionally, a PRNG has been developed using the derived state variables and analyze with NIST-800–22 test. Lastly, we developed a PRNG-based image encryption and employ it for an encryption. The experimental outcomes obtained prove that the 3D chaotic system-based encryption application presented in this section has a very good performance.

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Authors and Affiliations

  1. Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Campus Besut, 22200, Kuala, Terengganu, Malaysia

    Aceng Sambas, Sundarapandian Vaidyanathan & Mohamad Afendee Mohamed

  2. Department of Mechanical Engineering, Universitas Muhamadiyah Tasikmalaya, Tamansari Gobras, 46196, Tasikmalaya, Indonesia

    Aceng Sambas

  3. Department of Electronics, Faculty of Technology, Badji-Mokhtar University, B.P. 12, 23000, Sidi Ammar, Annaba, Algeria

    Khaled Benkouider

  4. Department of Electrical and Electronics Engineering, Sakarya University of Applied Sciences, Sakarya, 54050, Serdivan, Turkey

    Sezgin Kaçar

  5. Department of Mechanical Engineering, Adıyaman University, 02040, Adıyaman, Merkez, Turkey

    Nurdoğan Ceylan

  6. Centre for Control Systems, Vel Tech University, Chennai, 600062, Tamil Nadu, India

    Sundarapandian Vaidyanathan

  7. School of Quantitative Science, University Utara Malaysia, Sintok, 06010, Bukit Kayu Hitam, Kedah, Malaysia

    Ibrahim Mohammed Sulaiman

  8. Faculty of Education and Arts, Sohar University, Sohar, 311, Oman

    Ibrahim Mohammed Sulaiman

  9. Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Gong Badak, 21300, Kuala Terengganu, Terengganu, Malaysia

    Ahmad Faisal Mohamad Ayob

  10. Department of Physical Sciences, Department of Physical Sciences, Indian Institute of Science Education and Research, Kolkata, 741246, Mohanpur, India

    Sishu Shankar Muni

Authors
  1. Aceng Sambas
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  2. Khaled Benkouider
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Correspondence to Aceng Sambas.

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Sambas, A., Benkouider, K., Kaçar, S. et al. Dynamic Analysis and Circuit Design of a New 3D Highly Chaotic System and its Application to Pseudo Random Number Generator (PRNG) and Image Encryption. SN COMPUT. SCI. 5, 420 (2024). https://doi.org/10.1007/s42979-024-02766-9

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