In order to overcome the security weakness of the discrete chaotic sequence caused by small Lyapunov exponent and keyspace, a general chaotic construction method by cascading multiple high-dimensional isomorphic maps is presented in this paper. Compared with the original map, the parameter space of the resulting chaotic map is enlarged many times. Moreover, the cascaded system has larger chaotic domain and bigger Lyapunov exponents with proper parameters. In order to evaluate the effectiveness of the presented method, the generalized 3-D Hénon map is utilized as an example to analyze the dynamical behaviors under various cascade modes. Diverse maps are obtained by cascading 3-D Hénon maps with different parameters or different permutations. It is worth noting that some new dynamical behaviors, such as coexisting attractors and hyperchaotic attractors are also discovered in cascaded systems. Finally, an application of image encryption is delivered to demonstrate the excellent performance of the obtained chaotic sequences.

为了克服离散混沌序列由小Lyapunov指数和键空间引起的安全性弱点，提出了一种级联多个高维同构映射的通用混沌构造方法。与原始图相比，生成的混沌图的参数空间扩大了很多倍。此外，级联系统具有更大的混沌域和更大的Lyapunov指数，具有适当的参数。为了评估所提出方法的有效性，以广义 3-D Henon 图为例，分析了各种级联模式下的动力学行为。通过级联具有不同参数或不同排列的 3-D Hénon 映射可以获得不同的映射。值得注意的是，一些新的动态行为，在级联系统中也发现了共存吸引子和超混沌吸引子。最后，提供了一个图像加密的应用，以证明所获得的混沌序列的优异性能。