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Browsing by Author "Bai, Yun-Ru"

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    Article
    A Novel Shuffling Technique Based on Fractional Chaotic Maps
    (Elsevier Gmbh, 2018) Bai, Yun-Ru; Baleanu, Dumitru; Baleanu, Dumitru; Wu, Guo-Cheng; 56389
    An image encryption technique based on the fractional logistic map is designed in this work. A novel shuffling technique is established by use of fractional chaotic signals. Then it is used to scramble pixel positions. The results are analyzed in comparison with the classical logistic map. Since the employed fractional chaotic map holds complicated dynamics behavior, the encryption result is highly secure. Moreover, by experimental and statistical analysis, we demonstrate that the encryption performance is better than the results in literature. (C) 2018 Published by Elsevier GmbH.
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    Article
    Stability analysis of Caputo-like discrete fractional systems
    (Elsevier, 2017) Baleanu, Dumitru; Baleanu, Dumitru; Wu, Guo-Cheng; Bai, Yun-Ru; Chen, Fu-Lai
    This study investigates stability of Caputo delta fractional difference equations. Solutions' monotonicity and asymptotic stability of a linear fractional difference equation are discussed. A stability theorem for a discrete fractional Lyapunov direct method is proved. Furthermore, an inequality is extended from the continuous case and a sufficient condition is given. Some linear, nonlinear and time varying examples are illustrated and the results show wide prospects of the stability theorems in fractional control systems of discrete time. (C) 2017 Elsevier B.V. All rights reserved.