The Experts below are selected from a list of 14235 Experts worldwide ranked by ideXlab platform
Dumitru Baleanu - One of the best experts on this subject based on the ideXlab platform.
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chaos synchronization of the discrete fractional Logistic Map
Signal Processing, 2014Co-Authors: Dumitru BaleanuAbstract:Abstract In this paper, master–slave synchronization for the fractional difference equation is studied with a nonlinear coupling method. The numerical simulation shows that the designed synchronization method can effectively synchronize the fractional Logistic Map. The Caputo-like delta derivative is adopted as the difference operator.
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discrete fractional Logistic Map and its chaos
Nonlinear Dynamics, 2014Co-Authors: Dumitru BaleanuAbstract:A discrete fractional Logistic Map is proposed in the left Caputo discrete delta’s sense. The new model holds discrete memory. The bifurcation diagrams are given and the chaotic behaviors are numerically illustrated.
Xingyuan Wang - One of the best experts on this subject based on the ideXlab platform.
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an efficient image encryption scheme based on s boxes and fractional order differential Logistic Map
IEEE Access, 2020Co-Authors: Yingqian Zhang, Junling Hao, Xingyuan WangAbstract:In this work, an efficient image encryption based on S-boxes and fractional-order Logistic Map is proposed. The features of the fractional-order chaotic system in dynamical behaviors are exhibited. By simulation and comparison with the traditional Logistic Map, it is proved that the fractional-order Logistic Map contains larger key space and more parameters. Therefore, the fractional-order Logistic system has better efficiency and security against cryptanalyst attacks. The S-boxes construction algorithm is proposed. By comparing with the S-boxes of the former schemes, the proposed S-boxes have good performance under Bits Independence Criterion (BIC), the Strict Avalanche Criterion (SAC) and the nonlinearity. Finally, the image encryption scheme is proposed for the verification. In the encryption process, the proposed S-boxes are used for scrambling and confusion. The simulation and experimental results indicate that the fractional-order method is a preferred approach to integer-order chaotic system.
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a novel image encryption scheme based on 2 d Logistic Map and dna sequence operations
Nonlinear Dynamics, 2015Co-Authors: Xingyuan Wang, Yingqian Zhang, Yuanyuan ZhaoAbstract:This paper proposes a novel image encryption scheme based on DNA sequence operations and chaotic system. Firstly, two-dimensional Logistic chaotic Map is employed to modify each pixel of the image, and then, the DNA encoding rules are adopted to encode and generate a DNA matrix. Secondly, pseudo-random sequences generated by two-dimensional Logistic Map are transformed into another DNA matrix. Thirdly, DNA addition, subtraction and complementary rules are used to control the operations between two DNA matrices for obtaining the ciphered results. Finally, the ciphered image is obtained by decoding the DNA matrix formulations into binary formulations. Experimental results and theoretical analysis show that the scheme is extraordinarily high secure to resist various attacks.
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image encryption using genetic operators and intertwining Logistic Map
Nonlinear Dynamics, 2014Co-Authors: Xingyuan WangAbstract:In this paper, we try to propose a new “Selection–Crossover–Mutation” architecture which is based on the modern cryptography from the aspect of genetic mechanisms, mainly draws on the design of the genetic operators. The intertwining Logistic Map has been used to generate the chaotic sequences owing to its advantages. We take each pixel as an “individual,” each bit of it as a gene, first, the “Selection” phrase, use Monte Carlo method to randomly select two individuals according to the chaotic sequences, cross them, swap their genes using the specified crossover operator in the second phrase, and then finally, change the genes of the individuals randomly for the mutation phrase. Experiments and security analysis show that the indicators of the algorithm are good and can resist common kinds of attacks.
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spatiotemporal chaos in arnold coupled Logistic Map lattice
Nonlinear Analysis-Modelling and Control, 2013Co-Authors: Yingqian Zhang, Xingyuan WangAbstract:In this paper, we propose a new spatiotemporal dynamics of Arnold coupled Logistic Map lattice (ACLML). Here, the coupling method between lattices is not a neighborhood coupling but the non-neighborhood of Arnold cat Maps. In the proposed system, the criteria such as Kolmogorov–Sinai entropy density and universality, bifurcation diagram, mutual information, space amplitude and space-time diagrams are investigated in this paper. The new features of the proposed system include the lower mutual information between lattices, larger range of parameters for chaotic behaviors, the higher percentage of lattices in chaotic behaviors for most of parameters and less periodic window in bifurcation diagram. These features are more suitable for cryptography. For numerical simulations, we have employed the coupled Map lattices system (CML) for comparison. The results indicate that the proposed system has those superior features to the coupled Map lattice system (CML). It should be highlighted that the proposed ACLML is a suitable chaotic system for cryptography.
Shanlin Yang - One of the best experts on this subject based on the ideXlab platform.
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short term cascaded hydroelectric system scheduling based on chaotic particle swarm optimization using improved Logistic Map
Communications in Nonlinear Science and Numerical Simulation, 2013Co-Authors: Shanlin YangAbstract:Abstract In order to solve the model of short-term cascaded hydroelectric system scheduling, a novel chaotic particle swarm optimization (CPSO) algorithm using improved Logistic Map is introduced, which uses the water discharge as the decision variables combined with the death penalty function. According to the principle of maximum power generation, the proposed approach makes use of the ergodicity, symmetry and stochastic property of improved Logistic chaotic Map for enhancing the performance of particle swarm optimization (PSO) algorithm. The new hybrid method has been examined and tested on two test functions and a practical cascaded hydroelectric system. The experimental results show that the effectiveness and robustness of the proposed CPSO algorithm in comparison with other traditional algorithms.
Ahmed H. Madian - One of the best experts on this subject based on the ideXlab platform.
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generalized double humped Logistic Map based medical image encryption
Journal of Advanced Research, 2018Co-Authors: Samar M. Ismail, Ahmed G. Radwan, Lobna A. Said, Ahmed H. Madian, Mohamed F AbuelyazeedAbstract:This paper presents the design of the generalized Double Humped (DH) Logistic Map, used for pseudo-random number key generation (PRNG). The generalized parameter added to the Map provides more control on the Map chaotic range. A new special Map with a zooming effect of the bifurcation diagram is obtained by manipulating the generalization parameter value. The dynamic behavior of the generalized Map is analyzed, including the study of the fixed points and stability ranges, Lyapunov exponent, and the complete bifurcation diagram. The option of designing any specific Map is made possible through changing the general parameter increasing the randomness and controllability of the Map. An image encryption algorithm is introduced based on pseudo-random sequence generation using the proposed generalized DH Map offering secure communication transfer of medical MRI and X-ray images. Security analyses are carried out to consolidate system efficiency including: key sensitivity and key-space analyses, histogram analysis, correlation coefficients, MAE, NPCR and UACI calculations. System robustness against noise attacks has been proved along with the NIST test ensuring the system efficiency. A comparison between the proposed system with respect to previous works is presented.
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Generalized fractional Logistic Map encryption system based on FPGA
AEU - International Journal of Electronics and Communications, 2017Co-Authors: Samar M. Ismail, Ahmed G. Radwan, Lobna A. Said, Ahmed A. Rezk, Ahmed H. Madian, Mohamed F. Abu-elyazeed, Ahmed M. SolimanAbstract:Abstract This paper introduces the design of a generalized fractional order Logistic Map suitable for pseudorandom number key generators and its application in an encryption system based on FPGA. The Map is generalized through two parameters ( a , b ) where complete analysis of their effect on the Map is detailed, which gives more control on the Map chaotic regions. The vertical Map and the zooming Map presented in this paper are two special Maps extracted from the generalized Map with their detailed analysis. Not only the positive bifurcation, but also the negative side is discussed through this paper, covering the complete diagram. The specifications of the introduced special Logistic Maps are proved to be completely controlled through eight design problems with their Lyapunov exponent. As an application, these eight designs are used for the key generation to encrypt different images through a simple algorithm. The correlation coefficients (horizontal, vertical, and diagonal) of the encryption system proposed, as well as the response to differential attacks are calculated. The sensitivity analysis proves that the encryption algorithm develops high sensitivity to the fractional-order key, which appears from the wrong decryption with 0.001% change of any system parameter. The encryption system is implemented on a Virtex-5 FPGA, XC5VLX50T, with a maximum clock frequency equal to 58.358 MHz.
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generalized fractional Logistic Map suitable for data encryption
2015 International Conference on Science and Technology (TICST), 2015Co-Authors: Samar M. Ismail, Ahmed G. Radwan, Lobna A. Said, Ahmed H. Madian, Mohamed F Abuelyazeed, Ahmed M. SolimanAbstract:This paper presents a generalized form of the fractional Logistic Map. Two general parameters a and b are added to the classical fractional Logistic equation. The effect of such parameters on the Map is studied explicitly, in combination with the fractional order parameter α, which offers an extra degree of freedom increasing the design flexibility and adding more controllability on the design. The vertical and the zooming Map are two special Maps that arise as a result of the added parameters. Moreover, different design problems are offered in this work, as a resultant of the control of all these parameters at hand. This shows that any application specific Map can be designed, highlighting the flexibility and integrity of the design. The combination of the added extra parameters a and b in addition to the system parameter ρ and the initial condition x0, as well as the fractional order parameter α makes the proposed generalized fractional Logistic Map the most favorable in constructing more efficient encryption keys.
Yingqian Zhang - One of the best experts on this subject based on the ideXlab platform.
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an efficient image encryption scheme based on s boxes and fractional order differential Logistic Map
IEEE Access, 2020Co-Authors: Yingqian Zhang, Junling Hao, Xingyuan WangAbstract:In this work, an efficient image encryption based on S-boxes and fractional-order Logistic Map is proposed. The features of the fractional-order chaotic system in dynamical behaviors are exhibited. By simulation and comparison with the traditional Logistic Map, it is proved that the fractional-order Logistic Map contains larger key space and more parameters. Therefore, the fractional-order Logistic system has better efficiency and security against cryptanalyst attacks. The S-boxes construction algorithm is proposed. By comparing with the S-boxes of the former schemes, the proposed S-boxes have good performance under Bits Independence Criterion (BIC), the Strict Avalanche Criterion (SAC) and the nonlinearity. Finally, the image encryption scheme is proposed for the verification. In the encryption process, the proposed S-boxes are used for scrambling and confusion. The simulation and experimental results indicate that the fractional-order method is a preferred approach to integer-order chaotic system.
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a novel image encryption scheme based on 2 d Logistic Map and dna sequence operations
Nonlinear Dynamics, 2015Co-Authors: Xingyuan Wang, Yingqian Zhang, Yuanyuan ZhaoAbstract:This paper proposes a novel image encryption scheme based on DNA sequence operations and chaotic system. Firstly, two-dimensional Logistic chaotic Map is employed to modify each pixel of the image, and then, the DNA encoding rules are adopted to encode and generate a DNA matrix. Secondly, pseudo-random sequences generated by two-dimensional Logistic Map are transformed into another DNA matrix. Thirdly, DNA addition, subtraction and complementary rules are used to control the operations between two DNA matrices for obtaining the ciphered results. Finally, the ciphered image is obtained by decoding the DNA matrix formulations into binary formulations. Experimental results and theoretical analysis show that the scheme is extraordinarily high secure to resist various attacks.
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spatiotemporal chaos in arnold coupled Logistic Map lattice
Nonlinear Analysis-Modelling and Control, 2013Co-Authors: Yingqian Zhang, Xingyuan WangAbstract:In this paper, we propose a new spatiotemporal dynamics of Arnold coupled Logistic Map lattice (ACLML). Here, the coupling method between lattices is not a neighborhood coupling but the non-neighborhood of Arnold cat Maps. In the proposed system, the criteria such as Kolmogorov–Sinai entropy density and universality, bifurcation diagram, mutual information, space amplitude and space-time diagrams are investigated in this paper. The new features of the proposed system include the lower mutual information between lattices, larger range of parameters for chaotic behaviors, the higher percentage of lattices in chaotic behaviors for most of parameters and less periodic window in bifurcation diagram. These features are more suitable for cryptography. For numerical simulations, we have employed the coupled Map lattices system (CML) for comparison. The results indicate that the proposed system has those superior features to the coupled Map lattice system (CML). It should be highlighted that the proposed ACLML is a suitable chaotic system for cryptography.
