2019
DOI: 10.1142/s0218127419502067
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A New 3D Discrete Hyperchaotic System and Its Application in Secure Transmission

Abstract: In this paper, a new 3D discrete hyperchaotic system is constructed, and its Lyapunov exponent and approximate entropy are calculated. We adopt the drive-response method and self-adaptive method to make the hyperchaotic system to reach synchronization, and then design an encrypted transmission system based on the synchronization of this discrete hyperchaotic system. In the synchronous hyperchaotic system, the initial value related to the hash value of the speech signal of the chaotic system is designed. Some s… Show more

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Cited by 18 publications
(7 citation statements)
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“…Because the linear combination cannot change the output value of the original system, only the linear combination of these values, the performance of the presented system is not very good. Thus, a great deal of literature has been devoted to the study of the nonlinear transformations of chaotic output sequences [ 7 , 8 , 21 , 24 , 25 , 26 ]. However, these transformations are based on 1D and 2D chaotic systems.…”
Section: The 3d Infinite Collapse Mapmentioning
confidence: 99%
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“…Because the linear combination cannot change the output value of the original system, only the linear combination of these values, the performance of the presented system is not very good. Thus, a great deal of literature has been devoted to the study of the nonlinear transformations of chaotic output sequences [ 7 , 8 , 21 , 24 , 25 , 26 ]. However, these transformations are based on 1D and 2D chaotic systems.…”
Section: The 3d Infinite Collapse Mapmentioning
confidence: 99%
“…Furthermore, when the system parameters are in a certain interval, the chaotic dynamics behavior will weaken or disappear [ 23 , 24 ]. In order to enhance the dynamic characteristics and complexity of the chaotic system, several HD chaotic maps with hyperchaotic properties were proposed [ 25 , 26 ]. However, some HD chaotic maps exhibit weak chaotic performance in certain intervals [ 14 , 23 , 24 , 26 ].…”
Section: Introductionmentioning
confidence: 99%
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“…The chaotic signal is suitable for secure communication technology because of its long-term unpredictability, initial value sensitivity, and noise-like [1,2]. Moreover, the chaos-based algorithms show outstanding characteristics in terms of security, complexity, speed, and computing power [3,4]. In recent years, the research of chaotic cryptography on image encryption has received a lot of attention from scholars [5][6][7][8][9].…”
Section: Introductionmentioning
confidence: 99%
“…The chaotic signal is suitable for secure communication technology especially because of its noise-like, initial value sensitivity, and long-term unpredictability 1,2 . And the algorithms based on chaos show outstanding characteristics in security, complexity, speed, and computing power 3,4 .…”
Section: Introductionmentioning
confidence: 99%