Analysis, adaptive control and circuit simulation of a novel finance system with dissaving

Tacha, O. I.; Volos, Christos; Stouboulos, I. N.; Kyprianidis, I. Μ.

doi:10.1515/acsc-2016-0006

Cited by 9 publications

(3 citation statements)

References 31 publications

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“…In 1963, Lorenz proposed the Lorenz system [11], which was also the first chaotic system. Since then, physics, biology and economics have all studied chaos [12][13][14][15][16][17][18]. Moreover, the application of chaotic system in communication encryption [19], signal processing [20], neural network [21,22] and other engineering fields has also attracted extensive attention.…”

Section: Introductionmentioning

confidence: 99%

Multi-scroll fractional-order chaotic system and finite-time synchronization

Yan¹,

Wang²,

Wang³

et al. 2022

Phys. Scr.

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The definition of fractional calculus is introduced into the 5D chaotic system, and the 5D fractional-order chaotic system is obtained. The new 5D fractional-order chaotic system has no equilibrium, multi-scroll hidden attractor and multi-stability. By analyzing the time-domain waveform, phase diagram, bifurcation diagram and complexity, it is found that the system has no equilibrium but is very sensitive to parameters and initial values. With the variation of different parameters, the system can produce attractors of different scroll types accompanied by bursting oscillation. Secondly, the multi-stability of the hidden attractor is studied. Different initial values lead to the coexistence of attractors of different scroll number, which shows the advantages of the system. The correctness and realizability of the fractional-order chaotic system are proved by analog circuit and physical implement. Finally, because of the high security of multi-scroll attractor and hidden attractor, finite-time synchronization based on the fractional-order chaotic system is studied, which has a good application prospect in the field of secure communication.

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Section: Introductionmentioning

confidence: 99%

Multi-scroll fractional-order chaotic system and finite-time synchronization

Yan¹,

Wang²,

Wang³

et al. 2022

Phys. Scr.

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“…Optimal cutting technology is a concrete and practical technology to reduce material consumption. Optimal cutting refers to the optimal arrangement of a batch of parts with other sizes into raw materials with certain specifications under certain production conditions, to make the waste materials left after the parts are cut as little as possible [3] on the premise of satisfying constraints such as cutting technology.…”

Section: Introductionmentioning

confidence: 99%

Research and Design of Automatic Pipe Blanking Device Based on Adaptive Control

Fu¹,

Zheng²,

Zhao³

et al. 2023

AJST

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In the development of the modern processing and manufacturing industry, because of the increasingly fierce market competition, processing, and manufacturing enterprises, to further control the cost and improve efficiency, optimize the cutting technology to improve the utilization rate of raw materials. In some factories and workshops that have a demand for pipes, such as the assembly of the whole structure of aircraft, in the process of welding, assembling and molding the frame, the demand for the strength of pipes is high. Cuts made by hydraulic disk saw or toothless saw are not conducive to welding, and can't meet the use requirements, thus affecting the installation or assembly process of other spare parts and reducing production efficiency. In this paper, the design principle and scheme of automatic pipe-cutting technology based on adaptive control are discussed. It is very important to save raw materials by rationally optimizing the cutting technology and making a scientific cutting plan, to reduce the cost of enterprises and improve the benefits of enterprises.

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“…It has many potential applications in engineering fields, such as biology, mechanical engineering, private communication, and artificial intelligence. [1][2][3][4][5][6][7][8][9][10][11][12][13] Since 1963, Lorenz put his research findings, [14] the first physical evidence of chaos, into the public article, various researchers all over the world sparked off a craze for studying chaotic behaviors. A lot of achievements [15][16][17][18][19][20][21] have been made in the chaotic field.…”

Section: Introductionmentioning

confidence: 99%

Heteroclinic cycles in a new class of four-dimensional discontinuous piecewise affine systems

Cai

2018

Chinese Phys. B

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It is a huge challenge to give an existence theorem for heteroclinic cycles in the high-dimensional discontinuous piecewise systems (DPSs). This paper first provides a new class of four-dimensional (4D) two-zone discontinuous piecewise affine systems (DPASs), and then gives a useful criterion to ensure the existence of heteroclinic cycles in the systems by rigorous mathematical analysis. To illustrate the feasibility and efficiency of the theory, two numerical examples, exhibiting chaotic behaviors in a small neighborhood of heteroclinic cycles, are discussed.

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Analysis, adaptive control and circuit simulation of a novel finance system with dissaving

Cited by 9 publications

References 31 publications

Multi-scroll fractional-order chaotic system and finite-time synchronization

Multi-scroll fractional-order chaotic system and finite-time synchronization

Research and Design of Automatic Pipe Blanking Device Based on Adaptive Control

Heteroclinic cycles in a new class of four-dimensional discontinuous piecewise affine systems

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