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circuit implementation of a new hyperchaos in fractional-order system

Chinese Physics B 2008年第8期17卷 2829-2836页

作者：刘崇新刘凌 School of Electrical Engineering Xi'an Jiaotong University State Key Laboratory of Electrical Insulation and Power Equipment

This paper introduces a new four-dimensional （4D） hyperchaotic system, which has only two quadratic nonlinearity parameters but with a complex topological structure. Some complicated dynamical properties are then investigated in detail by using bifurcations, Poincare mapping, LE spectra. Furthermore, a simple fourth-order electronic circuit is designed for hardware implementation of the 4D hyperchaotic attractors. In particular, a remarkable fractional-order circuit diagram is designed for physically verifying the hyperchaotic attractors existing not only in the integer-order system but also in the fractional-order system with an order as low as 3.6.

关键词： hyperchaotic system fractional-order system integer-order chaotic circuit fractional-order circuit

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Electrical characteristics of a fractional-order 3×n Fan network

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Communications in Theoretical Physics 2024年第4期76卷 176-187页

作者： Zhi-Zhong Tan Xin Wang Department of Physics Nantong UniversityNantong 226019China

In this article a new achievement of fractional-order 3×n Fan networks is *** the first step,the RT-I method is used to derive the general formulae of the equivalent impedance of fractional-order 3×n Fan *** the second part,the effects of five system parameters(L,C,n,α and β)on amplitude-frequency and phase-frequency characteristics are *** the same time,the amplitude-frequency and phase-frequency characteristics of the fractional order 3×n Fan network are revealed by Matlab *** work has important theoretical and practical significance for resistor network models in the field of natural science and engineering technology.

关键词： fractional-order circuit amplitude-frequency characteristics phase-frequency characteristics RT-V theory

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fractional-order L_βC_a filter circuit network

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Chinese Physics B 2015年第8期24卷 149-158页

作者：洪铮钱晶陈帝伊 Herbert H.C.Iu College of Electric Power Engineering Kunming University of Science and Technology Department of Electrical Engineering Northwest A & F University School of Electrical Electronic and Computer Engineering The University of Western Australia

In this paper we introduce the new fundamentals of the conventional LC filter circuit network in the fractional ***, we derive the general formulae of the impedances for the conventional and fractional-order filter circuit *** on this, the impedance characteristics and phase characteristics with respect to the system variables of the filter circuit network are studied in detail, which shows the greater flexibility of the fractional-order filter circuit network in ***, from the point of view of the filtering property, we systematically study the effects of the filter units and fractional orders on the amplitude–frequency characteristics and phase–frequency characteristics. In addition, numerical tables of the cut-off frequency are presented. Finally, two typical examples are presented to promote the industrial applications of the fractional-order filter circuit network. Numerical simulations are presented to verify the theoretical results introduced in this paper.

关键词： fractional-order circuit circuit networks amplitude–frequency characteristics phase–frequency characteristics

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