具有隐藏吸引子的新四维混沌系统的共存现象及图像加密

Coexistence and image encryption of a new four-dimensional chaotic system with hidden attractors

提出具有隐藏吸引子的新四维复杂混沌系统,系统在不同初始条件下产生不同类型的吸引子,且存在共存现象。对系统进行复杂度分析,发现该系统复杂度较高;设计图像置乱加密算法,利用隐藏吸引子混沌系统产生的混沌序列对图像进行置乱和扩散,对比发现隐藏型混沌系统的保密性强,并验证了加密算法的可实现性。该系统通过了NIST标准测试中的15项指标,验证系统具有随机性。通过电路设计,证明系统在实际应用中具有可行性。

This paper proposed a new four-dimensional complex chaotic system with hidden attractors,which,under different initial conditions,produces different attractor types that coexist.The complexity analysis showed that the system had relatively higher complexity.An image scrambling encryption algorithm was designed and the images were scrambled and diffused by using the chaotic sequence generated by the hidden attractor chaotic system.A comparison with traditional chaotic system shows that the hidden chaotic system has strong secrecy.The achievability of the encryption algorithm was then verified.The system has passed 15 indicators in the NIST standard test,which proves that the system is random.Finally,the feasibility of the system in practical applications was testified through circuit design.