Journal
IEEE ACCESS
Volume 8, Issue -, Pages 135308-135319Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/ACCESS.2020.3011524
Keywords
Synchronization; Chaotic communication; Shape; Encryption; Geometry; Drives; Shape synchronization; 4-D chaotic system; drive and response; chaotic attractor; image encryption
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Funding
- Science and Research Fund of Hunan Province Education Department [19C0083]
- Young Teacher Development Program Project of Changsha University of Science and Technology [2019QJCZ013, 2019QJCZ014]
- National Natural Science Foundation of China [61504013]
- Natural Science Foundation of Hunan Province [2019JJ50648]
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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 systems achieve shape synchronization in a quite short time. Moreover, a shape synchronization encryption algorithm for color image is proposed. Simulation results reveal the superiority of the proposed approach.
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