2020
DOI: 10.1109/access.2020.3011524
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Shape Synchronization in Driver-Response of 4-D Chaotic System and Its Application in Image Encryption

Abstract: In this paper, we put forward on the drive-response synchronization in shape for four-dimensional (4-D) continuous chaotic system, using the basic theory of plane curves in classical differential geometry. For 4-D continuous system, shape synchronization means the six-response systems have the same shape of chaotic attractor as the six projective systems of driver system. Numerical simulations are given to verify the theoretical analysis, which clearly shows that the shape controllers can really make two syste… Show more

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Cited by 26 publications
(16 citation statements)
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“…Theorem 1: Let the master and slave chaotic systems be defined as (6) and (8). As well, the external disturbances are estimated by (19) and the PI sliding surfaces are defined as (23). Then, the sliding surface as well as synchronization error between master and slave systems are bounded using the robust controller (26) based on the nonlinear disturbance observer.…”
Section: B Design Of a Disturbance Observer-based Semi-glogally Robumentioning
confidence: 99%
See 1 more Smart Citation
“…Theorem 1: Let the master and slave chaotic systems be defined as (6) and (8). As well, the external disturbances are estimated by (19) and the PI sliding surfaces are defined as (23). Then, the sliding surface as well as synchronization error between master and slave systems are bounded using the robust controller (26) based on the nonlinear disturbance observer.…”
Section: B Design Of a Disturbance Observer-based Semi-glogally Robumentioning
confidence: 99%
“…Therefore, the chaos phenomenon should be avoided or completely suppressed in practice [6][7][8][9]. In the past two decades, chaos synchronization has generated important interests in applied fields such as secure communication [10,11], electronic circuits [12], optical chaotic communication [13], chaotic CO2 lasers [14], chaotic finance system [15], a periodically intermittent control [16], partial discharge in power cables [17], cryptosystems [18] and image encryption [19]. As a result, various control techniques have been proposed for the synchronization of chaotic systems [20][21][22][23].…”
Section: Introductionmentioning
confidence: 99%
“…Image encryption is an important research direction in chaotic secure communication. At present, there are some image encryption algorithms based on chaotic system [21][22][23][24][25][26][27][28][29][30][31][32][33][34]. Such as Yang et al [35,36] designed image encryption algorithm by using fractional-order chaotic system.…”
Section: Introductionmentioning
confidence: 99%
“…Yu et al [12] designed a 5D hyperchaotic system to coexist multiple attractors, and used the system to generate random numbers for image encryption. Huang et al designed the shape synchronization and image encryption of 4D chaotic system [13]. Wang et With the application of deep learning, it is of great significance to extract information in remote sensing images using deep neural networks.…”
Section: Introductionmentioning
confidence: 99%