一种新的分数阶多卷波混沌系统及其随机性测试

A New Fractional-Order Multiwing Chaotic System and It's Randomness Test

提出一种新的分数阶混沌系统,通过设计非线性控制器,使其产生多卷波混沌吸引子。利用数值仿真方法给出8卷波混沌吸引子相图,并对该混沌系统的混沌序列进行NIST测试。结果表明,提出的混沌序列能较好地满足随机性测试。

In this paper, a new fractional-order chaotic system is proposed, which can generate multi-scroll chaotic attractors by designing a nonlinear controller. Using the numerical simulation method, the phase diagram of the 8-scroll chaotic attractors has benn given. Then, the chaotic sequence of the chaotic system past NIST test. The results show that the chaotic sequences can satisfy the randomness test.