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分数阶时滞广义Logistic方程解的研究 被引量:3
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作者 袁利国 《中山大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第2期44-48,共5页
基于Banach不动点定理与分数阶微积分的相关性质,首先研究了分数阶时滞广义Logistic方程解的存在唯一性,同时得到解的一致稳定性的充分条件。最后,利用改进的Adams-Bashforth-Moulton预估-校正算法得到其数值解。
关键词 CAPUTO分数阶导数 分数阶时滞Logistic方程 banach不动点定理 存在唯一性
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A novel image encryption scheme based on Keplers third law and random Hadamard transform 被引量:3
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作者 罗玉玲 周戎龙 +2 位作者 刘俊秀 丘森辉 曹弋 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第12期146-159,共14页
In this paper, a novel image encryption scheme based on Keplers third law and random Hadamard transform is proposed to ensure the security of a digital image. First, a set of Kepler periodic sequences is generated to ... In this paper, a novel image encryption scheme based on Keplers third law and random Hadamard transform is proposed to ensure the security of a digital image. First, a set of Kepler periodic sequences is generated to permutate image data, which is characteristic of the plain-image and the Keplers third law. Then, a random Hadamard matrix is constructed by combining the standard Hadamard matrix with the hyper-Chen chaotic system, which is used to further scramble the image coefficients when the image is transformed through random Hadamard transform. In the end, the permuted image presents interweaving diffusion based on two special matrices, which are constructed by Kepler periodic sequence and chaos system. The experimental results and performance analysis show that the proposed encrypted scheme is highly sensitive to the plain-image and external keys, and has a high security and speed, which are very suitable for secure real-time communication of image data. 展开更多
关键词 Kepler&#39s third law random Hadamard transform interweaving diffusion security
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Improvement of the thermoelectric efficiency of pyrene-based molecular junction with doping engineering
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作者 Mohammad Farid Jamali Meysam Bagheri Tagani Hamid Rahimpour Soleimani 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第12期201-209,共9页
In this study, the thermoelectric properties of pyrene molecule doped with boron and nitrogen atom at different sites of molecule are investigated using density functional theory and none-equilibrium Greens function f... In this study, the thermoelectric properties of pyrene molecule doped with boron and nitrogen atom at different sites of molecule are investigated using density functional theory and none-equilibrium Greens function formalism in the linear response regime. Our calculations show that when the impurities are added to the edge of the molecule, the anti-resonant peaks will appear in the transmission diagram in the vicinity of the Fermi energy level. So it increases the thermoelectric figure of merit of the system in comparison with the one that the impurity is located in the center of molecule. Additionally, the seebeck coefficient signs are not the same among the B, N, and N & B doped devices, indicating that the types of the carriers can be changed with different types of doping. 展开更多
关键词 THERMOPOWER PYRENE density functional theory none-equilibrium Green&#39s function method DOPING
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