Discrete Dynamic System without Degradation -configure N Positive Lyapunov Exponents

Geng ZHAO; Hong LI; Yingjie MA; Xiaohong QIN

doi:10.11999/JEIT180925

Volume 41 Issue 9

Sep. 2019

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Geng ZHAO, Hong LI, Yingjie MA, Xiaohong QIN. Discrete Dynamic System without Degradation -configure N Positive Lyapunov Exponents[J]. Journal of Electronics & Information Technology, 2019, 41(9): 2280-2286. doi: 10.11999/JEIT180925

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Geng ZHAO, Hong LI, Yingjie MA, Xiaohong QIN. Discrete Dynamic System without Degradation -configure N Positive Lyapunov Exponents[J]. Journal of Electronics & Information Technology, 2019, 41(9): 2280-2286. doi: 10.11999/JEIT180925

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Discrete Dynamic System without Degradation -configure N Positive Lyapunov Exponents

doi: 10.11999/JEIT180925

Geng ZHAO^{1, 2},
Hong LI^{1, 2
,
,},
Yingjie MA²,
Xiaohong QIN²

1.
Xidian University, Xi’an 710071, China
2.
Beijing Electronic Science and Technology Institute, Beijing 100070, China

Funds: The National Natural Science Foundation of China(61772047)

Received Date: 2018-09-30
Rev Recd Date: 2019-02-21

Available Online: 2019-03-15

Publish Date: 2019-09-10

Abstract

Abstract

Considering discrete-time chaotic dynamics systems, a new algorithm is proposed which is based on matrix eigenvalues and eigenvectors to configure Lyapunov exponents to be positive. The eigenvalues and eigenvectors of the discrete controlled matrix are calculated to design a general controller with positive Lyapunov exponents. The theory proves the boundedness of the system orbit and the finiteness of the Lyapunov exponents. The numerical simulation analysis of the linear feedback operator and the perturbation feedback operator verifies the correctness, versatility and effectiveness of the algorithm. Performance evaluations show that, compared with Chen-Lai methods, the proposed method can construct chaotic system with lower computation complexity and the running time is shorter and the outputs demonstrate strong randomness. Thus, a discrete chaotic system with no degradation and no merger is realized.
- Chaotic system,
- No-degenerate,
- Lyapunov exponent,
- Matrix eigenvalue,
- Linear feedback operator,
- Perturbation feedback operator

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References(15)

References

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