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A new method for generating chaotic system with arbitrary shaped distributed attractors

机译：一种用任意形状分布式吸引子产生混沌系统的新方法

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摘要

In this paper, a new method for generating a chaotic system with arbitrary shaped (including heart-shaped, oval, circle, piecewise-linear, and cuboid) distributed attractors is proposed. In this article, a simple four-wing chaotic attractor is first presented by using a periodic piecewise function instead of a constant parameter in the Lorenz system, on the basis of which the chaotic system with arbitrary shaped distributed attractors in the plane can be constructed. This means that the distributed chaotic attractors can be arranged in an arbitrary shape in the plane. The chaotic system can generate any quantity of distributed chaotic attractors, and simulation results show that any desired number of positive Lyapunov exponents can be obtained. Therefore, the chaotic system will have more complicated dynamic characteristics. The dynamical mechanisms of this chaotic system are further investigated, and theoretical analysis and numerical simulation are in accordance with each other, which verifies the effectiveness of the approach. Lastly, the proposed chaotic system is used for image encryption. Numerical results show that the proposed scheme has an excellent performance. Published by AIP Publishing.
机译：本文提出了一种用于产生具有任意形状的混沌系统的新方法（包括心形，椭圆形，圆形，线性和长方体）分布式吸引子。在本文中，首先通过使用周期性分段功能而不是Lorenz系统中的恒定参数来呈现简单的四翼混沌吸引子，而是可以构造具有该平面中的任意形状的分布式吸引子的混沌系统。这意味着分布式混沌吸引子可以以任意形状布置在平面中。混沌系统可以产生任何数量的分布式混沌吸引子，并且仿真结果表明，可以获得任何所需数量的正数量的阳性Lyapunov指数。因此，混沌系统将具有更复杂的动态特性。进一步研究了这种混沌系统的动态机制，理论分析和数值模拟彼此相互作用，验证了该方法的有效性。最后，所提出的混沌系统用于图像加密。数值结果表明，该方案具有出色的性能。通过AIP发布发布。

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  • 来源
    《Chaos》 |2018年第1期|共13页
  • 作者

    Su Qingyun; Wang Chunhua; Chen Hua; Sun Jingru; Zhang Xin;

  • 作者单位

    Hunan Univ Coll Comp Sci &

    Elect Engn Changsha 410082 Hunan Peoples R China;

    Hunan Univ Coll Comp Sci &

    Elect Engn Changsha 410082 Hunan Peoples R China;

    Hunan Univ Coll Comp Sci &

    Elect Engn Changsha 410082 Hunan Peoples R China;

    Hunan Univ Coll Comp Sci &

    Elect Engn Changsha 410082 Hunan Peoples R China;

    Hunan Univ Coll Comp Sci &

    Elect Engn Changsha 410082 Hunan Peoples R China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 自然科学总论;
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