Experimental Verification of Triple Lobes Generation in Fractional Memristive Circuits

Hamed, Esraa M.; Fouda, Mohammed E.; Alharbi, Abdullah G.; Radwan, Ahmed G.

doi:10.1109/access.2018.2882942

Cited by 11 publications

(17 citation statements)

References 35 publications

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“…and R P , R AP , and Q 0 are some constant parameters, has been introduced. As another example, in [29] it has been introduced a fractional-order memristor modeled by…”

Section: B Fractional-order Memristorsmentioning

confidence: 99%

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Nonlinear Fractional-Order Circuits and Systems: Motivation, A Brief Overview, and Some Future Directions

Tavazoei

Tavakoli-Kakhki

Bizzarri

2020

IEEE Open J. Circuits Syst.

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In recent years, fractional-order differential operators, and the dynamic models constructed based on these generalized operators have been widely considered in design and practical implementation of electrical circuits and systems. Simultaneously, facing with fractional-order dynamics and the nonlinear ones in electrical circuits and systems enforces us to use more advanced tools (in comparison to those commonly used in design and analysis of linear fractional-order/nonlinear integer-order circuits and systems) for their analysis, design, and implementation. Discussing on such a motivation, this tutorial paper aims to provide an overview on the recent achievements in proposing effective tools for analysis and design of nonlinear fractional-order circuits and systems. Moreover, some open problems, which can specify future directions for continuing research works on the aforementioned subject, are discussed.

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“…and R P , R AP , and Q 0 are some constant parameters, has been introduced. As another example, in [29] it has been introduced a fractional-order memristor modeled by…”

Section: B Fractional-order Memristorsmentioning

confidence: 99%

“…Some other models for the fractional-order memristor elements can be found in [148], [31], [32], and [33]. Also, successful analog implementations of these elements have been reported in [29] and [34].…”

Section: B Fractional-order Memristorsmentioning

confidence: 99%

Nonlinear Fractional-Order Circuits and Systems: Motivation, A Brief Overview, and Some Future Directions

Tavazoei

Tavakoli-Kakhki

Bizzarri

2020

IEEE Open J. Circuits Syst.

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“…Furthermore, the work presented in the studies of Hamed et al (2018a), Hamed et al (2018b), Hamed et al (2019) also report the emulator circuits of fractional order memristor for non-symmetrical multi-lobe generation. But similarly, these emulators also suffer because of the use of large number of passive elements (because of fractional order capacitors) and external analog multipliers.…”

Section: Four-lobe Memristor Emulator Implementation Using Vdcc Active Elementmentioning

confidence: 99%

“…The HfOx-based physical memristor shows (Balatti et al , 2015) the presence of three-lobes, but no discussion regarding this unexpected behaviour was reported. Interestingly, mathematical conditions for the occurrence of extra pinch-off points has been reported in the studies of Hamed et al (2018a), Hamed et al (2018b) and Hamed et al (2019), but these conditions have been derived for a fractional order memristor with non-symmetric lobes generation. And no explanation has been provided regarding the physical origin of occurrence of multi-pinch off points.…”

Section: Introductionmentioning

confidence: 99%

Development of mathematical model and circuit emulators for four lobe memristive behaviour

Bhardwaj

Srivastava

2020

COMPEL

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Purpose This paper aims to develop a mathematical model for four-lobe memristor (FLM) element. The four-lobe memristive behaviour can be used in realization of hyperchaotic oscillators and implementation of multi-bit memories. For verification of the developed mathematical framework, two FLM circuit emulators have been presented using VDCC and IC LM13700, respectively. Design/methodology/approach A mathematical model for FLM has been developed in which, the condition for the existence of symmetrical four lobes, instances and coordinates of the end points of lobes has been derived and presented. Using this mathematical framework, a FLM emulator based on VDCC has been developed. To validate the possibility of practical implementation of FLM concept, an IC LM13700-based circuit has also been developed. The workability of VDCC based circuit has been verified by running simulations in PSPICE environment using CMOS VDCC model. Similarly, the behaviour of LM13700 IC-based circuit has been confirmed by SPICE model of LM13700 IC. Findings It has been shown mathematically that under certain conditions, third-order flux dependent equation of memductance can be used to generate four lobes on the transient v-i plane. Also, two FLM emulators without using any voltage multiplier circuit/IC have been reported. Originality/value From the best knowledge of the authors, there are no such FLM emulators that have been reported in literature so far, which operates at practical operating frequencies.

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“…Fractional-order differential equations are in the group of nonlinear and complex systems [12] , [13] , [14] . These systems have shown different complex properties such as hyperchaos [15] , self-producing attractors, and strange maps [16] , which enabled them to be used in modeling of biological phenomena, electrical components, controllers, and filters [17] .…”

Section: Introductionmentioning

confidence: 99%

Fracmemristor chaotic oscillator with multistable and antimonotonicity properties

Petržela

Götthans

et al. 2020

Journal of Advanced Research

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Experimental Verification of Triple Lobes Generation in Fractional Memristive Circuits

Cited by 11 publications

References 35 publications

Nonlinear Fractional-Order Circuits and Systems: Motivation, A Brief Overview, and Some Future Directions

Nonlinear Fractional-Order Circuits and Systems: Motivation, A Brief Overview, and Some Future Directions

Development of mathematical model and circuit emulators for four lobe memristive behaviour

Fracmemristor chaotic oscillator with multistable and antimonotonicity properties

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