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Fractional-order circuit elements with memory

Proceedings of the 13th International Carpathian Control Conference (ICCC), 2012
This paper deals with the fractional-order memristive, memcapacitative, and meminductive systems and their utilization in design of the new circuits with memory. We provide a mathematical description of such systems by using a technique of the fractional calculus. Some possible applications of “mem” systems are mentioned in article as well.
Ivo Petras, YangQuan Chen
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Fractional-Order Memristor-Based Chua's Circuit

IEEE Transactions on Circuits and Systems II: Express Briefs, 2010
This express brief deals with the memristor-based Chua's circuit. For the first time, the fractional-order model for such system is presented. A numerical solution of the fractional-order memristor-based Chua's equations is derived for simulations. The dynamical behavior and stability analysis of this system are described and investigated as well.
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Electromagnetic-based derivation of fractional-order circuit theory

Communications in Nonlinear Science and Numerical Simulation, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tomasz P. Stefanski, Jacek Gulgowski
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Analysis of approximation methods and fractional-order circuit

Materials Today: Proceedings, 2020
Abstract In the area of system and circuit theory, it is required to reduce the system complexity for the fractional-order system while preserving their input–output behavior as much as possible. It is encouraged to create high-speed analog circuits as compared to classical integer-order circuits.
Mandeep Singh Walia   +2 more
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Circuit realization of a fractional-order chaotic jerk system

2017 6th International Conference on Modern Circuits and Systems Technologies (MOCAST), 2017
In this paper, the analysis, design and circuit synthesis of a fractional-order form of a chaotic jerk system is presented. The proposed system is one of the simplest member of the jerk system's family, because it has the least number of terms, one of which is the unique nonlinear term of the system. For the first time, the hyperbolic sine term is used
Christos K. Volos   +5 more
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A New Fractional Order Memristance Simulator Circuit Design

2019 IEEE International Symposium on INnovations in Intelligent SysTems and Applications (INISTA), 2019
In this study, a previously defined integer order memristor element equation has been modified and a similar form of fractional order memristor is given. In the resulting mathematical equation, frequency dependent pinched hysteresis curves are obtained. A memristance simulator circuit providing the proposed mathematical relationship is proposed.
Zehra Gülru Çam Taskiran   +1 more
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Interdisciplinary applications of the fractional-order circuits

2022
Ο σκοπός της παρούσας Διδακτορικής Διατριβής είναι η ανάδειξη της διεπιστημονικής φύσης του κλασματικού λογισμού και τα καινοτόμα πλεονεκτήματα που μπορούν να προσφέρουν τα κυκλώματα κλασματικής τάξης σε ένα ευρύ φάσμα επιστημονικών τομέων. Ο σχεδιασμός τέτοιων κυκλωμάτων για διάφορες εφαρμογές φίλτρων, συστημάτων ελέγχου, αλλά και βιολογικές ...
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Analysis of a rectifier circuit realized with a fractional-order capacitor

2016 28th International Conference on Microelectronics (ICM), 2016
An analysis of a traditional rectifier circuit when a fractional-order capacitor with order 0 < α < 1 replaces the integer-order smoothing capacitor (α = 1) is presented. Exploring the change in discharging behaviour that results from this replacement and the impacts on ripple voltage, nominal DC voltage, current, and power expressions used to describe
Todd J. Freeborn   +2 more
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Time-Domain Analysis of Fractional-Order Circuits

2021
Fractional-order capacitors and inductors can be regarded as energy storage components since they can store energy like integer-order components while the order influences their impedance. When the switching state of switches or the excitation sources of the circuit containing one or more energy storage components changes, a transient state will occur ...
Bo Zhang, Xujian Shu
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DESIGN AND CIRCUIT IMPLEMENTATION OF FRACTIONAL-ORDER MULTIWING CHAOTIC ATTRACTORS

International Journal of Bifurcation and Chaos, 2012
In this paper, a novel approach is proposed for generating fractional-order multiwing chaotic attractors. Based on a fractional-order linear differential system, by introducing the nonlinear state feedback controller equipped with an even symmetric multisegment quadratic function, various fractional-order multiwing chaotic attractors can be generated.
Zilong Tang, Chaoxia Zhang, Simin Yu
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