2022
DOI: 10.1007/s11082-022-03646-3
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A novel chaotic Umbrella map and its application to image encryption

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Cited by 17 publications
(8 citation statements)
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“…and the initial values of the system (35) are selected as and , respectively. Then, the multistate analysis is performed, figure 2 presents the bifurcation diagram of the system (35), which demonstrates the uniform chaotic state. Subsequently, the dynamic evolution of the system under two different sets of initial values is shown in figure 3, from which it can be obtained that both chaotic and periodic states of the system (35) exist under different initial values, further, analyzed in figure 3, it can be observed that the system exists attractor coexistence under two different sets of initial values and presents different types of attractor coexistence with fixed parameters.…”
Section: E K E K E K E K E K Ce K Ce K E K E K Cmentioning
confidence: 99%
“…and the initial values of the system (35) are selected as and , respectively. Then, the multistate analysis is performed, figure 2 presents the bifurcation diagram of the system (35), which demonstrates the uniform chaotic state. Subsequently, the dynamic evolution of the system under two different sets of initial values is shown in figure 3, from which it can be obtained that both chaotic and periodic states of the system (35) exist under different initial values, further, analyzed in figure 3, it can be observed that the system exists attractor coexistence under two different sets of initial values and presents different types of attractor coexistence with fixed parameters.…”
Section: E K E K E K E K E K Ce K Ce K E K E K Cmentioning
confidence: 99%
“…If the compromised data are illegally used, the consequences will be even unimaginable. Therefore, image encryption technology is favored by researchers [1][2][3][4][5][6].…”
Section: Introductionmentioning
confidence: 99%
“…Discrete-time systems or maps can exhibit all kinds of dynamics from a one-dimensional equation; nevertheless, some higher-dimensional maps with more than one state variable have been studied recently [6][7][8]. The main advantage of maps compared to flows is their simplicity and lower computation and implementation cost [9,10]. Due to their discrete nature, they can also be utilized in digital scenarios [9].…”
Section: Introductionmentioning
confidence: 99%
“…The main advantage of maps compared to flows is their simplicity and lower computation and implementation cost [9,10]. Due to their discrete nature, they can also be utilized in digital scenarios [9].…”
Section: Introductionmentioning
confidence: 99%