chaotic dynamic
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2021 ◽  
Author(s):  
Jean-François Verne

Abstract In this paper, we propose to analyze the motion of the Lebanese GDP over the period 1950-2019. This macroeconomic aggregate reveals large fluctuations notably during the civil war period (1975-1990). By estimating the Lyapunov exponents with the Artificial Neural Network (ANN) procedure, we show that this series exhibits a strange attractor generated by a chaotic dynamic and we use the embedding procedure to shed in light the bizarre structure of such a series. Thus, the ANN method gives better results regarding prediction than other linear regression models and allows to fit with accuracy the chaotic motion followed by the Lebanese GDP in the phase space.


2021 ◽  
Vol 13 (19) ◽  
pp. 3819
Author(s):  
Anhong Tian ◽  
Chengbiao Fu ◽  
Her-Terng Yau ◽  
Xiao-Yi Su ◽  
Heigang Xiong

Soil salinization process is a complex non-linear dynamic evolution. To classify a system with this type of non-linear characteristic, this study proposed a mixed master/slave chaotic system based on Chua’s circuit and a fractional-order Chen-Lee chaotic system to classify soil salinization level. The subject is the soil in Xinjiang with different levels of human interference. A fractional-order Chen-Lee chaotic system was constructed, and the spectral signal processed by the Chua’s non-linear circuit was substituted into the master/slave chaotic system. The chaotic dynamic errors with different fractional orders were calculated. The comparative analysis showed that 0.1-order has the largest chaotic dynamic error change, which produced two distinct and divergent results. Thus, this study converted the chaotic dynamic errors of fractional 0.1-order into chaotic attractors to build an extension matter-element model. Finally, we compared the soil salt contents (SSC) from the laboratory chemical analysis with the results of the extension theory classification. The comparison showed that the combination of fractional order mixed master/slave chaotic system and extension theory has high classification accuracy for soil salinization level. The results of this system match the result of the chemical analysis. The classification accuracy of the calibration set data was 100%, and the classification accuracy of the validation set data was 90%. This method is the first use of the mixed master/slave chaotic system in this field and can satisfy certain soil salinization monitoring needs as well as promote the application of the chaotic system in soil salinization monitoring.


2021 ◽  
pp. 39-48
Author(s):  
O. E. Ivanova

Consulting focused on comprehending organizational problems and breaking the patterns of their managerial solution is in demand in a chaotic, dynamic world. This counseling tool is able to counter the uncertainty of the external environment with a clear understanding of the or ganizational event. The aim of the paper is to investigate philosophical consulting as an intellectual tool for “problem hacking” in Human Management in organization.Theoretical basis of the research: the analytical approach to human resource management, the ideas of the international movement of philosophical practice, the edifying philosophy of R. Rorty, ideas of “problem hacking”. Research methods used in the work: philosophical (conceptual) analysis, decomposition, conceptualization.Results. Philosophical consulting is justifed as an analytical and value-based tool of facilitation of “problem hacking” in Human Management in the organization, the features of philosophical consulting as a management consulting are revealed. With the purpose of hacking problems at the level of foundations — meanings and values — according to each stage of “problem hacking”, the function of facilitation of philosophical consulting is revealed. HRMproblems are classifed into process groups: “cooperation”, “change and development”, “measurement and evaluation”. Typical HR-challenge are identifed — the feld of potential conflicts.The concept of HR-call is formulated and elements of the problem solution construction are developed: philosophical idea of the answer to HR-challenge and relevant managerial methods of realization.Application of value-analytical and design tools of philosophical consulting to “hacking” organizational problems — the company’s response to the challenges of the VUCA world, “defcit of meaning” in Russian companies, the employers’ demand for problem-solving skills in the next fve years. The limitations of the research are identifed.


2021 ◽  
pp. 2213-2221
Author(s):  
Raied K. Jamal ◽  
Falah H. Ali ◽  
Falah A-H. Mutlak

     In this paper, two different chaotic dynamic systems are coupled using a semiconductor laser to produce a new chaotic system. These two chaotic systems are Rossler and Chua systems. X-dynamic of Rossler system was coupled optically using optical fiber as a carrier of signal with x, y, and z-dynamics of Chua system. The results were analyzed and the behavior of Chua system was found to be changing in time series which, in turn, changed the attractor. The Chua attractor was converted from double scroll to single scroll. The results obtained from connecting two different systems in chaotic behavior showed a remarkable increase in the bandwidth of Chua system. This increase in bandwidth opens up a wide field for many applications, the most important of which is in the field of secure communications.


2021 ◽  
Author(s):  
Bikram Paul

<div>Recent advancements in the domain of quantum computing are posing a security threat to the classical cryptography algorithms. Popular symmetric and asymmetric cryptosystems including RSA, ECC, DES, Diffie-Hellman etc. can be broken by a quantum computer executing Shors and Grovers algorithms. This motivated scientific community to design newer encryption schemes to address security vulnerabilities. Hash, Code, Lattice, Multivariate Polynomial based cryptography algorithms, known as post-quantum cryptography algorithms (PQC), exhibit resistance against classical as well as quantum crypto-attacks. Apart from these PQC algorithms, a relatively new method of constructing cryptosystems utilizing the unpredictability property of discrete chaotic dynamic systems has become noteworthy from the practical perspective. In this paper, we present a novel approach to design an encryption scheme based on the chaotic dynamic physical system, which is derived from a mechanical model depicting nonlinear dynamics and exhibits resistance against various attacks. The effectiveness of the proposed cryptography scheme is validated against various standard tests, such as Lyapunov exponents test, bifurcation diagrams, sensitivity to parametric and to initial values, ergodicity, collision test, NIST, diehard randomness test etc. This algorithm is also verified through an FPGA implementation to assess its usage in low power high throughput applications as well. The power consumption and resource utilization of the proposed design are 56 % and 72.6 %, respectively, as compared to other known methods while operating at 628.14 MHz. It is observed that the proposed design can work efficiently with various wide range of applications. It is observed that the proposed design can work efficiently with various wide range of applications. The average power and area of its ASIC implementation at 180 nm technology are 61.8836 mW and 0.20374 mm 2 at 250 MHz, respectively.</div>


2021 ◽  
Author(s):  
Bikram Paul

<div>Recent advancements in the domain of quantum computing are posing a security threat to the classical cryptography algorithms. Popular symmetric and asymmetric cryptosystems including RSA, ECC, DES, Diffie-Hellman etc. can be broken by a quantum computer executing Shors and Grovers algorithms. This motivated scientific community to design newer encryption schemes to address security vulnerabilities. Hash, Code, Lattice, Multivariate Polynomial based cryptography algorithms, known as post-quantum cryptography algorithms (PQC), exhibit resistance against classical as well as quantum crypto-attacks. Apart from these PQC algorithms, a relatively new method of constructing cryptosystems utilizing the unpredictability property of discrete chaotic dynamic systems has become noteworthy from the practical perspective. In this paper, we present a novel approach to design an encryption scheme based on the chaotic dynamic physical system, which is derived from a mechanical model depicting nonlinear dynamics and exhibits resistance against various attacks. The effectiveness of the proposed cryptography scheme is validated against various standard tests, such as Lyapunov exponents test, bifurcation diagrams, sensitivity to parametric and to initial values, ergodicity, collision test, NIST, diehard randomness test etc. This algorithm is also verified through an FPGA implementation to assess its usage in low power high throughput applications as well. The power consumption and resource utilization of the proposed design are 56 % and 72.6 %, respectively, as compared to other known methods while operating at 628.14 MHz. It is observed that the proposed design can work efficiently with various wide range of applications. It is observed that the proposed design can work efficiently with various wide range of applications. The average power and area of its ASIC implementation at 180 nm technology are 61.8836 mW and 0.20374 mm 2 at 250 MHz, respectively.</div>


Entropy ◽  
2021 ◽  
Vol 23 (4) ◽  
pp. 456
Author(s):  
Xitong Xu ◽  
Shengbo Chen

Image encryption is a confidential strategy to keep the information in digital images from being leaked. Due to excellent chaotic dynamic behavior, self-feedbacked Hopfield networks have been used to design image ciphers. However, Self-feedbacked Hopfield networks have complex structures, large computational amount and fixed parameters; these properties limit the application of them. In this paper, a single neuronal dynamical system in self-feedbacked Hopfield network is unveiled. The discrete form of single neuronal dynamical system is derived from a self-feedbacked Hopfield network. Chaotic performance evaluation indicates that the system has good complexity, high sensitivity, and a large chaotic parameter range. The system is also incorporated into a framework to improve its chaotic performance. The result shows the system is well adapted to this type of framework, which means that there is a lot of room for improvement in the system. To investigate its applications in image encryption, an image encryption scheme is then designed. Simulation results and security analysis indicate that the proposed scheme is highly resistant to various attacks and competitive with some exiting schemes.


Author(s):  
El Mehdi Falloul

This paper aim to investigate the weak form efficiency of the Casablanca Moroccan stock market. After a brief explanation of the efficient market theory developped by Eygene Fama, we have made the whole classical econometric tests used to test the weak form efficiency, this is made by using MASI index that represents the whole stocks in Casablanca stock market. At the end of this study, we have rejected the hypothesis of efficience of Casablanca Stock market, and we have deduced that MASI is caracterised aby a choatic dynamic that we have cvalidated by calculation of Lyapunov exponent, finally and in order to judge the model that represent the MASI we have modeled MASI index using the process ARFIMA (p,dq) and we have deduced that MASI is caracterized by a long memory.


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