scholarly journals A Novel Method for Constructing the S-Box Based on Spatiotemporal Chaotic Dynamics

2018 ◽  
Vol 8 (12) ◽  
pp. 2650 ◽  
Author(s):  
Liyan Liu ◽  
Yingqian Zhang ◽  
Xingyuan Wang
Keyword(s):  
Performance Analysis ◽  
Chaotic System ◽  
Chaotic Dynamics ◽  
High Dimensional ◽  
Chaotic Sequences ◽  
Dynamical Behaviors ◽  
Nonlinear Chaotic System ◽  
Novel Method ◽  
Spatiotemporal Chaotic System ◽  
Independence Criterion

A novel construction method for a random S-box by using the spatiotemporal nonlinear chaotic system is proposed. The chaotic sequences of the spatiotemporal chaotic system are applied to construct an initial S-box. Then, the permutation operation between independent chaotic sequences is performed to shuffle the elements of the S-box randomly. In comparisons with the former schemes, the results of the performance analysis indicate that the obtained S-box has a better output bit independence criterion and a stronger ability to resist linear password attacks. It also has a high dimensional feature due to the spatiotemporal chaotic dynamical behaviors. The proposed scheme holds superior cryptographic features.

Nine-Dimensional Eight-Order Chaotic System and its Circuit Implementation

2014 ◽  
Vol 716-717 ◽  
pp. 1346-1351
Author(s):  
Jian Liang Zhu ◽  
Jiang Dong ◽  
Hua Qiang Gao
Keyword(s):  
Chaotic System ◽  
Chaos Theory ◽  
High Dimensional ◽  
Chaotic Attractors ◽  
Higher Dimension ◽  
Matlab Simulation ◽  
Circuit Implementation ◽  
Dynamical Behaviors ◽  
Simulation Results ◽  
Hardware Circuit

The chaotic characteristics of high-dimensional chaotic system are more complex, so the design of chaotic system with higher dimension has become a leading subject of chaos theory. In this paper, we constructed a nine-dimensional eight-order chaotic system. Matlab simulation of system is performed and Lyapunov exponents are figured out, which proved more complex dynamical behaviors. And the corresponding hardware circuit is designed. Multisim simulation results of the circuit coincide with Matlab simulation of the system completely, showing the same chaotic attractors. The consistent results verified the realizability of system. Therefore, the system can provide a more secure encryption source for information encryption.

scholarly journals The unified chaotic system describing the Lorenz and Chua systems

2010 ◽  
Vol 23 (3) ◽  
pp. 345-355 ◽  
Author(s):  
Zeraoulia Elhadj ◽  
Clinton Sprott
Keyword(s):  
Chaotic System ◽  
Joint Function ◽  
Unified Chaotic System ◽  
Dynamical Behaviors ◽  
Nonlinear Chaotic System

This paper introduces the dynamical behaviors of a unified nonlinear chaotic system which describes a two-family chaotic system containing the original Lorenz and the original Chua systems as two extremes and some other systems as a transition in between via a new constructed joint function. This system can display two kinds of attractors, those with one scroll and those with two scrolls.

scholarly journals A New No Equilibrium Fractional Order Chaotic System, Dynamical Investigation, Synchronization, and Its Digital Implementation

Inventions ◽  
2021 ◽  
Vol 6 (3) ◽  
pp. 49
Author(s):  
Zain-Aldeen S. A. Rahman ◽  
Basil H. Jasim ◽  
Yasir I. A. Al-Yasir ◽  
Raed A. Abd-Alhameed ◽  
Bilal Naji Alhasnawi
Keyword(s):  
Adaptive Control ◽  
Fractional Order ◽  
Chaotic System ◽  
Real World ◽  
Experimental Results ◽  
Chaotic Attractors ◽  
State Variables ◽  
Digital Implementation ◽  
Dynamical Behaviors ◽  
Real World Applications

In this paper, a new fractional order chaotic system without equilibrium is proposed, analytically and numerically investigated, and numerically and experimentally tested. The analytical and numerical investigations were used to describe the system’s dynamical behaviors including the system equilibria, the chaotic attractors, the bifurcation diagrams, and the Lyapunov exponents. Based on the obtained dynamical behaviors, the system can excite hidden chaotic attractors since it has no equilibrium. Then, a synchronization mechanism based on the adaptive control theory was developed between two identical new systems (master and slave). The adaptive control laws are derived based on synchronization error dynamics of the state variables for the master and slave. Consequently, the update laws of the slave parameters are obtained, where the slave parameters are assumed to be uncertain and are estimated corresponding to the master parameters by the synchronization process. Furthermore, Arduino Due boards were used to implement the proposed system in order to demonstrate its practicality in real-world applications. The simulation experimental results were obtained by MATLAB and the Arduino Due boards, respectively, with a good consistency between the simulation results and the experimental results, indicating that the new fractional order chaotic system is capable of being employed in real-world applications.

scholarly journals A new image encryption algorithm based on the OF-LSTMS and chaotic sequences

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Yi He ◽  
Ying-Qian Zhang ◽  
Xin He ◽  
Xing-Yuan Wang
Keyword(s):  
Image Encryption ◽  
Fractional Order ◽  
Chaotic System ◽  
Short Term Memory ◽  
Encryption Algorithm ◽  
Chaotic Sequences ◽  
Long Short Term Memory ◽  
Input Gate ◽  
And Diffusion ◽  
Image Encryption Algorithm

AbstractIn this paper, a novel image encryption algorithm based on the Once Forward Long Short Term Memory Structure (OF-LSTMS) and the Two-Dimensional Coupled Map Lattice (2DCML) fractional-order chaotic system is proposed. The original image is divided into several image blocks, each of which is input into the OF-LSTMS as a pixel sub-sequence. According to the chaotic sequences generated by the 2DCML fractional-order chaotic system, the parameters of the input gate, output gate and memory unit of the OF-LSTMS are initialized, and the pixel positions are changed at the same time of changing the pixel values, achieving the synchronization of permutation and diffusion operations, which greatly improves the efficiency of image encryption and reduces the time consumption. In addition the 2DCML fractional-order chaotic system has better chaotic ergodicity and the values of chaotic sequences are larger than the traditional chaotic system. Therefore, it is very suitable to image encryption. Many simulation results show that the proposed scheme has higher security and efficiency comparing with previous schemes.

Multiple-image encryption based on cascaded gyrator transforms and high-dimensional chaotic system

2021 ◽  
Author(s):  
Xiaoni Sun ◽  
Zhuhong Shao ◽  
Yuanyuan Shang ◽  
Mingxian Liang ◽  
Fengjian Yang
Keyword(s):  
Image Encryption ◽  
Chaotic System ◽  
High Dimensional ◽  
Multiple Image

Oyster oscillator: a novel mega-stable nonlinear chaotic system

2021 ◽  
Author(s):  
Balamurali Ramakrishnan ◽  
Atefeh Ahmadi ◽  
Fahimeh Nazarimehr ◽  
Hayder Natiq ◽  
Sajad Jafari ◽  
...  
Keyword(s):  
Chaotic System ◽  
Nonlinear Chaotic System

scholarly journals A Novel Method for Performance Analysis of Compartmentalized Reservoirs

2015 ◽  
Vol 71 (3) ◽  
pp. 38 ◽  
Author(s):  
Mohammad Sadeq Shahamat ◽  
Hamidreza Hamdi ◽  
Louis Mattar ◽  
Roberto Aguilera
Keyword(s):  
Performance Analysis ◽  
Novel Method
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