Homogenization Method for the Quadratic Polynomial Chaotic System

Hongyan ZANG; Huifang HUANG; Hongyu CHAI

doi:10.11999/JEIT180735

Volume 41 Issue 7

Jul. 2019

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Hongyan ZANG, Huifang HUANG, Hongyu CHAI. Homogenization Method for the Quadratic Polynomial Chaotic System[J]. Journal of Electronics & Information Technology, 2019, 41(7): 1618-1624. doi: 10.11999/JEIT180735

Citation:

Hongyan ZANG, Huifang HUANG, Hongyu CHAI. Homogenization Method for the Quadratic Polynomial Chaotic System[J]. Journal of Electronics & Information Technology, 2019, 41(7): 1618-1624. doi: 10.11999/JEIT180735

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Homogenization Method for the Quadratic Polynomial Chaotic System

doi: 10.11999/JEIT180735

1.
School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China
2.
School of Information Science and Technology, Xiamen University Tan Kah Kee College, Zhangzhou 363105, China

Funds: The Fundamental Research Funds for the Central Universities of China (06108236)

Received Date: 2018-07-19
Rev Recd Date: 2019-01-17

Available Online: 2019-02-14

Publish Date: 2019-07-01

Abstract

Abstract

A sufficient condition for general quadratic polynomial systems to be topologically conjugate with Tent map is proposed. Base on this condition, the probability density function of a class of quadratic polynomial systems is provided and transformations function which can homogenize this class of chaotic systems is further obtained. The performances of both the original system and the homogenized system are evaluated. Numerical simulations show that the information entropy of the uniformly distributed sequences is closer to the theoretical limit and its discrete entropy remains unchanged. In conclusion, with such homogenization method all the chaotic characteristics of the original system is inherited and better uniformity is performed.
- Chaotic system,
- Homogenization,
- Topologically conjugate,
- Entropy

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References(16)

References

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