A novel four-step feedback procedure for rapid control of chaotic behavior of the logistic map and unstable traffic on the road

Kumari, Sudesh; Chugh, Renu

doi:10.1063/5.0022212

Cited by 17 publications

(8 citation statements)

References 56 publications

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“…At the same time, the chaotic interference is eliminated and the oscillation in the subsequent iterative process is avoided. The logistic map is a typical chaotic model in chaotic dynamics [ 20 ], and its expression is

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Section: Improvement and Performance Analysis Of Algorithmmentioning

confidence: 99%

Research on the Gas Emission Quantity Prediction Model of Improved Artificial Bee Colony Algorithm and Weighted Least Squares Support Vector Machine (IABC-WLSSVM)

Wang

Zhang

et al. 2022

Applied Bionics and Biomechanics

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In order to further accurately predict gas emission of working face, this paper proposes a prediction model of gas emission of working face based on the combination of improved artificial bee colony algorithm and weighted least squares support vector machine (IABC-WLSSAVM). The research steps are as follows: Firstly, in order to obtain the sparse solution of LSSVM, a more reliable prediction model is realized by weighting the error value. Secondly, the chaotic sequence is introduced into the artificial bee colony algorithm to find a better initial honey source, which increases the diversity of the population, and combines the Levy flight to update the search step to avoid falling into the trap of local optimum. At the same time, the improved artificial bee colony algorithm is used to optimize the kernel width σ and regularization parameter λ of WLSSVM, which improves the prediction accuracy and convergence rate of WLSSVM. Finally, the quantitative analysis model of WLSSVM is reconstructed by using the optimized parameters, and the nine parameters of buried depth of coal seam, gas content of coal seam, coal thickness, interlayer lithology, production rate of working face, length of working face, inclination of coal seam, gas content of adjacent layer, and thickness of adjacent layer are used as the main influencing factors. After normalization, the nonlinear prediction model of gas emission is established. The simulation results based on the three indicators of determination coefficient, root mean square error, and average relative variance show that the IABC-WLSSVM prediction model proposed in this paper can not only overcome the local optimization to obtain the global optimal solution but also has faster convergence speed and higher prediction accuracy. This prediction model has obvious advantages compared with the other three improved prediction models in terms of fitting, accuracy, and generalization ability, which can provide a reliable theoretical basis for the prediction of gas emission in coal mining face under complex factors and propose a new idea for the application of artificial intelligence in the construction of intelligent mines. At the same time, the prediction model can also be applied to other fields.

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…”

Section: Improvement and Performance Analysis Of Algorithmmentioning

confidence: 99%

Research on the Gas Emission Quantity Prediction Model of Improved Artificial Bee Colony Algorithm and Weighted Least Squares Support Vector Machine (IABC-WLSSVM)

Wang

Zhang

et al. 2022

Applied Bionics and Biomechanics

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“…Chaos has become a fresh challenge in the cryptographic systems [1][2][3][4][5][6][7], because of its unique characteristics such as the sensitivity to the initial conditions and the unpredictability of trajectory. In subfields like the stream cipher [8], Hash function [9], and multimedia encryption [10], chaotic systems have been widely used as their basic components to construct cryptographic primitives.…”

Section: Introductionmentioning

confidence: 99%

Performance of the 2D Coupled Map Lattice Model and Its Application in Image Encryption

Liu

Zhang

et al. 2022

Complexity

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The two-dimensional coupled map lattice (2D CML) model has been extensively employed as the basis component for designing various schemes in the cryptography system due to its complicated chaotic dynamic behavior. In this study, we analyze the chaotic characteristics of the 2D CML model, such as the Lyapunov exponent (LE), synchronization stability, bifurcation, and ergodicity. We then show that the chaotic sequences generated by the 2D CML model are random according to the NIST testing. Furthermore, we propose an image encryption scheme based on the 2D CML model and Singular Value Decomposition (SVD). In our scheme, the SVD method is used to reduce the image storage, and the Red, Green, and Blue channels of a color image will be encrypted through confusion and diffusion. The simulation results, as well as the results of the comparison with other schemes, demonstrate that our scheme possesses outstanding statistics, excellent encryption performance, and high security. It has great potential for ensuring the security of digital images in real applications.

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“…May [14] was the first mathematician who published his article on the dynamics of logistic map and it opened a new door for researchers in the field of modern chaos theory due to its simplest form. Nowadays, logistic map has become a milestone and widely applied in every branch of science, for example, in cryptography [15,16,17,18], to control traffic and traffic signals [25,19,20,21,22,23,24], to generate chaotic signals for securing communication system [26], as a chaotic noise analog generator and in circuits [27,28] and in many other fields [29]. Sine map is one dimensional chaotic dynamical system defined in [11] and given by the equation…”

Section: Introductionmentioning

confidence: 99%

On the Complex and Chaotic Dynamics of Standard Logistic Sine Square Map

Kumari

Chugh

Miculescu

2021

Analele Universitatii "Ovidius" Constanta - Seria Matematica

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In this article, we set up a new nonlinear dynamical system which is derived by combining logistic map and sine square map in Mann orbit (a two step feedback process) for ameliorating the stability performance of chaotic system and name it Standard Logistic Sine Square Map (SLSSM). The purpose of this paper is to study the whole dynamical behavior of the proposed map (SLSSM) through various introduced aspects consisting fixed point and stability analysis, time series representation, bifurcation diagram and Lyapunov exponent. Moreover, we show that our map is significantly superior than existing other one dimensional maps. We investigate that the chaotic and complex behavior of SLSSM can be controlled by selecting control parameters carefully. Also, the range of convergence and stability can be made to increase drastically. This new system (SLSSM) might be used to achieve better results in cryptography and to study chaos synchronization.

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A novel four-step feedback procedure for rapid control of chaotic behavior of the logistic map and unstable traffic on the road

Cited by 17 publications

References 56 publications

Research on the Gas Emission Quantity Prediction Model of Improved Artificial Bee Colony Algorithm and Weighted Least Squares Support Vector Machine (IABC-WLSSVM)

Research on the Gas Emission Quantity Prediction Model of Improved Artificial Bee Colony Algorithm and Weighted Least Squares Support Vector Machine (IABC-WLSSVM)

Performance of the 2D Coupled Map Lattice Model and Its Application in Image Encryption

On the Complex and Chaotic Dynamics of Standard Logistic Sine Square Map

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