Research on cascading high-dimensional isomorphic chaotic maps |
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Authors: | Qiujie Wu Fanghai Zhang Qinghui Hong Xiaoping Wang Zhigang Zeng |
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Affiliation: | 1.School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, 430074 China ;2.Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan, 430074 China ;3.College of Computer Science and Electronic Engineering, Hunan University, Changsha, 410082 China |
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Abstract: | 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. |
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Keywords: | Cascade system High-dimensional chaotic map Lyapunov exponent spectrum Image encryption |
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