scholarly journals Chaos Enhanced Differential Evolution in the Task of Evolutionary Control of Selected Set of Discrete Chaotic Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Roman Senkerik ◽  
Ivan Zelinka ◽  
Michal Pluhacek ◽  
Donald Davendra ◽  
Zuzana Oplatková Kominkova
Keyword(s):  
Differential Evolution ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Chaotic Map ◽  
Differential Evolution Algorithm ◽  
Pseudorandom Number Generator ◽  
Pseudorandom Sequences ◽  
Evolutionary Technique ◽  
Evolutionary Tuning ◽  
Different Chaotic Systems

Evolutionary technique differential evolution (DE) is used for the evolutionary tuning of controller parameters for the stabilization of set of different chaotic systems. The novelty of the approach is that the selected controlled discrete dissipative chaotic system is used also as the chaotic pseudorandom number generator to drive the mutation and crossover process in the DE. The idea was to utilize the hidden chaotic dynamics in pseudorandom sequences given by chaotic map to help differential evolution algorithm search for the best controller settings for the very same chaotic system. The optimizations were performed for three different chaotic systems, two types of case studies and developed cost functions.

Logistic Map and Exponential Scaling Factor based Differential Evolution

2022 ◽  
Vol 13 (1) ◽  
pp. 0-0
Keyword(s):  
Differential Evolution ◽  
Logistic Map ◽  
Differential Evolution Algorithm ◽  
Scaling Factor ◽  
Exploration And Exploitation ◽  
Engineering Problems ◽  
Evolutionary Technique ◽  
Evolution Algorithm ◽  
State Of Art ◽  
Modified Algorithm

Differential evolution (DE), an important evolutionary technique, enhances its parameters such as, initialization of population, mutation, crossover etc. to resolve realistic optimization issues. This work represents a modified differential evolution algorithm by using the idea of exponential scale factor and logistic map in order to address the slow convergence rate, and to keep a very good equilibrium linking exploration and exploitation. Modification is done in two ways: (i) Initialization of population and (ii) Scaling factor.The proposed algorithm is validated with the aid of a 13 different benchmark functions taking from the literature, also the outcomes are compared along with 7 different popular state of art algorithms. Further, performance of the modified algorithm is simulated on 3 realistic engineering problems. Also compared with 8 recent optimizer techniques. Again from number of function evaluations it is clear that the proposed algorithm converses more quickly than the other existing algorithms.

scholarly journals S-Box Construction Method Based on the Combination of Quantum Chaos and PWLCM Chaotic Map

2021 ◽  
Vol 15 (4) ◽  
pp. 1-17
Author(s):  
Jun Peng ◽  
Shangzhu Jin ◽  
Shaoning Pang ◽  
Du Zhang ◽  
Lixiao Feng ◽  
...  
Keyword(s):  
Chaotic System ◽  
Quantum Chaos ◽  
Chaotic Systems ◽  
User Authentication ◽  
Chaotic Map ◽  
Data Encryption ◽  
Performance Comparison ◽  
Generation Process ◽  
Secret Key ◽  
Differential Approximation

For a security system built on symmetric-key cryptography algorithms, the substitution box (S-box) plays a crucial role to resist cryptanalysis. In this article, we incorporate quantum chaos and PWLCM chaotic map into a new method of S-box design. The secret key is transformed to generate a six tuple system parameter, which is involved in the generation process of chaotic sequences of two chaotic systems. The output of one chaotic system will disturb the parameters of another chaotic system in order to improve the complexity of encryption sequence. S-box is obtained by XOR operation of the output of two chaotic systems. Over the obtained 500 key-dependent S-boxes, we test the S-box cryptographical properties on bijection, nonlinearity, SAC, BIC, differential approximation probability, respectively. Performance comparison of proposed S-box with those chaos-based one in the literature has been made. The results show that the cryptographic characteristics of proposed S-box has met our design objectives and can be applied to data encryption, user authentication and system access control.

scholarly journals Euler and RK4 Algorithms Based Implementation of Autonomous Chaotic Generator

2019 ◽  
Vol 8 (6) ◽  
pp. 4161-4165
Keyword(s):  
Chaotic System ◽  
Chaotic Systems ◽  
Numerical Algorithms ◽  
Vital Role ◽  
Fpga Implementation ◽  
Data Sets ◽  
Key Generation ◽  
Number Generator ◽  
Chaos Generator ◽  
Different Chaotic Systems

Chaotic systems plays a vital role in the field of security, data hiding and steganography. FPGA implementation makes more advantageous compared to analog one. Different chaotic systems like chaos generator and nondeterministic number generator used for security purpose and key generation were successfully realized in FPGA. In this paper, FPGA implementation of Pandey-Baghel-Singh chaotic system (PBSCS) using Euler and RK4 numerical algorithms is presented. Pandey-Baghel-Singh chaotic system were obtained using numerical differential solution and numerically modelled in Verilog with the environment of Xilinx Vivado 2017.3 design suite. The design is verified using experimental setup with the help of interfacing to PC and FPGA family of Artix-7 Nexys 4 DDR and Basys3. Performance of the FPGA based chaotic generator using Euler and RK4 algorithm are analyzed using 1 GB data sets with the maximum operating frequency achieved up to 359.71 MH

scholarly journals A New Hyperchaotic Map for a Secure Communication Scheme with an Experimental Realization

Symmetry ◽  
2020 ◽  
Vol 12 (11) ◽  
pp. 1881 ◽  
Author(s):  
Nadia M. G. Al-Saidi ◽  
Dhurgham Younus ◽  
Hayder Natiq ◽  
M. R. K. Ariffin ◽  
M. A. Asbullah ◽  
...  
Keyword(s):  
Secure Communication ◽  
Cross Correlation ◽  
Chaotic Systems ◽  
Complex Dynamics ◽  
Chaotic Map ◽  
High Sensitivity ◽  
Experimental Realization ◽  
Practical Applications ◽  
Communication Scheme ◽  
Different Chaotic Systems

Using different chaotic systems in secure communication, nonlinear control, and many other applications has revealed that these systems have several drawbacks in different aspects. This can cause unfavorable effects to chaos-based applications. Therefore, presenting a chaotic map with complex behaviors is considered important. In this paper, we introduce a new 2D chaotic map, namely, the 2D infinite-collapse-Sine model (2D-ICSM). Various metrics including Lyapunov exponents and bifurcation diagrams are used to demonstrate the complex dynamics and robust hyperchaotic behavior of the 2D-ICSM. Furthermore, the cross-correlation coefficient, phase space diagram, and Sample Entropy algorithm prove that the 2D-ICSM has a high sensitivity to initial values and parameters, extreme complexity performance, and a much larger hyperchaotic range than existing maps. To empirically verify the efficiency and simplicity of the 2D-ICSM in practical applications, we propose a symmetric secure communication system using the 2D-ICSM. Experimental results are presented to demonstrate the validity of the proposed system.

scholarly journals Analytic Programming – a Novel Tool for Synthesis of Controller for Chaotic Lozi Map

2021 ◽  
Vol 15 ◽  
pp. 50-55
Author(s):  
Roman Senkerik ◽  
Zuzana Kominkova Oplatkova ◽  
Michal Pluhacek
Keyword(s):  
Feedback Control ◽  
Differential Evolution ◽  
Cost Function ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Symbolic Regression ◽  
Control Law ◽  
Two Dimensional ◽  
Function Design ◽  
Analytic Programming

In this paper, it is presented a utilization of a novel tool for symbolic regression, which is analytic programming, for the purpose of the synthesis of a new feedback control law. This new synthesized chaotic controller secures the fully stabilization of selected discrete chaotic systems, which is the two-dimensional Lozi map. The paper consists of the descriptions of analytic programming as well as selected chaotic system, used heuristic and cost function design. For experimentation, Self-Organizing Migrating Algorithm (SOMA) and Differential evolution (DE) were used. Two selected experiments are detailed described.

Sign in / Sign up

Export Citation Format

Share Document