Performance Analysis and Improvement of Logistic Chaotic Mapping

CHEN Zhigang; LIANG Diqing; DENG Xiaohong; ZHANG Ying

doi:10.11999/JEIT151039

Volume 38 Issue 6

Jun. 2016

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Article Navigation > Journal of Electronics & Information Technology > 2016 > 38(6): 1547-1551

CHEN Zhigang, LIANG Diqing, DENG Xiaohong, ZHANG Ying. Performance Analysis and Improvement of Logistic Chaotic Mapping[J]. Journal of Electronics & Information Technology, 2016, 38(6): 1547-1551. doi: 10.11999/JEIT151039

Citation:

CHEN Zhigang, LIANG Diqing, DENG Xiaohong, ZHANG Ying. Performance Analysis and Improvement of Logistic Chaotic Mapping[J]. Journal of Electronics & Information Technology, 2016, 38(6): 1547-1551. doi: 10.11999/JEIT151039

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Performance Analysis and Improvement of Logistic Chaotic Mapping

doi: 10.11999/JEIT151039

Funds:

The National Natural Science Foundation of China (612724494, 61350011), Educational Commission Science Foundation of Jiangxi Province of China (GJJ151522)

Received Date: 2015-09-14
Rev Recd Date: 2016-02-29
Publish Date: 2016-06-19

Abstract

Abstract

Chaotic system is an important research object in the field of data encryption based on the chaos. The logistic chaotic mapping is the simplest and efficient chaotic system and is usually used by many encryption methods based on the chaos, thus the security of Logistic mapping becomes an important research point. To deal with the issue of attractors and blank area of the presence of the Logistic sequence, an improved Logistic mapping based on the relationship between initial value and the fractal control parameters is proposed. The variables interval of chaotic mapping is reasonable subsection by using this relationship, so the chaos control parameter region can be expanded, and the onto mapping range is extended to the entire control parameter interval. The improved Logistic mapping makes the chaotic sequence distribution more uniform, and solves the problem of stability windowand the blank area etc. Compared with the improved Logistic and piecewise chaotic Logistic, the experimental results show that the chaotic characteristics of sequence generated by the improved mapping is significantly strengthened, has more uniform distribution, and better random performance index. In addition, the improved Logistic mapping has low computational complexity and is prone to implement. The improved Logistic mapping has broad application prospects in the fields of spread spectrum communication and chaotic cipher.
- Data encryption,
- Logistic mapping,
- Chaotic sequence,
- Security

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References(21)

References

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