Realization of Integrable Incommensurate-Fractional-Order-Rössler-System Design Using Operational Transconductance Amplifiers (OTAs) and Its Experimental Verification

Dar, Mohammad Rafiq; Kant, Nasir Ali; Khanday, Farooq Ahmad

doi:10.1142/s0218127417500778

Cited by 14 publications

(6 citation statements)

References 28 publications

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“…Deneysel çalışma sırasında negatif empedans çevirici için 2 adet, endüktans simülatörü için 2 adet, memristör emülatörü devresi için 5 adet, 1 adet akım kaynağı için olmak üzere toplamda 10 CFOA elemanı kullanılmıştır. Bu sayı literatürde önerilen diğer Rössler devresi gerçeklemelerinde kullanılan aktif eleman sayılarından daha düşüktür [31,32]. Aktif eleman sayısını azaltmak için pasif endüktör elemanı kullanarak 8 CFOA ile de devrenin aynı davranışı sergilediği görülmüştür.…”

Section: Deneysel Sonuçlar (Experimental Results)unclassified

“…Rössler sisteminin fiziksel olarak gerçeklenmesi ile bu uygulamalar da gerçeklenebilir hale gelecektir. Rössler sisteminin bu zamana kadarki gerçeklenmesi üzerine yapılan çalışmalar arasında 2017 yılında yayınlanan bir çalışma içerdiği 26 aktif eleman ile güç tüketimi ve eleman sayısı açısından dezavantajlı durumdadır [31]. Benzer bir çalışma yine 13 aktif eleman ile aynı dezavantaja sahiptir [32].…”

Section: Realization Of Memristor-based Chaotic Rössler Circuit H I G H L I G H T S unclassified

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Memristör tabanlı kaotik rössler devresi gerçeklemesi

Taşkıran

Sedef

2019

Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi

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A new simple analog circuit design for Rossler dynamical system  A new memristor emulator circuit design  Suitable implementation by using commercially available integrated circuits for TRNGs Figure A. Circuit schematic of the realized memristive chaotic Rossler circuit and its oscillogram Purpose: A new memristive analog circuit is designed to realize the original Rossler dynamical system, and also a new memristor emulator circuit which provides needed nonlinear flux-charge relationship is designed. Theory and Methods: Designed circuits are analyzed mathematically, and simulated results are showed that all results are compatible with each other. Proposed circuits are implemented on board by using commercially available integrated circuits. Phase portraits for the memristive chaotic circuit are obtained by using an analog and a digital oscilloscope. Results: Experimental results validated the accuracy of theoretical and simulation results. Conclusion: Proposed circuit ideally composed of only three parallel connected basic circuit elements and one DC current source. Thus, mathematical analysis and implementation of the circuit structure are quite simple. Most of the studies that propose a Rossler-based circuit involve FPGA or microcontroller implementations. Because these studies based on an algorithmic process, they can not be used as entropy sources of TRNG circuits. There are not many studies on analog implementation of Rossler attractor in the literature. Because the proposed circuit is analog and noise-effected, it can be used as an entropy source of a TRNG.

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Section: Deneysel Sonuçlar (Experimental Results)unclassified

Section: Realization Of Memristor-based Chaotic Rössler Circuit H I G H L I G H T S unclassified

Memristör tabanlı kaotik rössler devresi gerçeklemesi

Taşkıran

Sedef

2019

Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi

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“…The majority of CMOS chaotic oscillators are based on OTAs. For example, the authors in [57] highlighted the benefits of low-voltage implementation, integrability and electronic tunability. Following this direction, in this work, we highlight the programmability of the PWL function enabled through current mode cells and the transconductances of the OTAs to tune the fractional values of the coefficients a, b, c, and d 1 listed in Table 1.…”

Section: Integrated Multi-scroll Chaotic Oscillator Using the Proposementioning

confidence: 99%

PVT-Robust CMOS Programmable Chaotic Oscillator: Synchronization of Two 7-Scroll Attractors

et al. 2018

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Designing chaotic oscillators using complementary metal-oxide-semiconductor (CMOS) integrated circuit technology for generating multi-scroll attractors has been a challenge. That way, we introduce a current-mode piecewise-linear (PWL) function based on CMOS cells that allow programmable generation of 2–7-scroll chaotic attractors. The mathematical model of the chaotic oscillator designed herein has four coefficients and a PWL function, which can be varied to provide a high value of the maximum Lyapunov exponent. The coefficients are implemented electronically by designing operational transconductance amplifiers that allow programmability of their transconductances. Design simulations of the chaotic oscillator are provided for the 0.35 μ m CMOS technology. Post-layout and process–voltage–temperature (PVT) variation simulations demonstrate robustness of the multi-scroll chaotic attractors. Finally, we highlight the synchronization of two seven-scroll attractors in a master–slave topology by generalized Hamiltonian forms and observer approach. Simulation results show that the synchronized CMOS chaotic oscillators are robust to PVT variations and are suitable for chaotic secure communication applications.

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“…Besides its applications in several fields, a variety of electrical circuits like filters, oscillators, neural circuits, transmission lines, supercapacitors, batteries, PID controllers, square and cube rooting circuits, resonators, sensing circuits etc. have also been modified with the use of fractional-order calculus [1][2][3][4][5][6][7]. However, the electrical implementation of fractional-order calculus requires the realization of electrical components that follow the laws of such non-integer order calculus.…”

Section: Introductionmentioning

confidence: 99%

“…FOC fabrication has been based on various algorithms ranging from circuits employing some configuration of finite or infinite resistor-capacitor (RC) network generally known as multi-component realizations to processes and materials imitating the characteristics of infinite RC networks called the single component realizations. Other types of realizations include emulating FOC characteristics in circuits designed for applications other than capacitor e.g., CMOS based circuits or square and cube-rooting circuits [2,[4][5][6][7]. Of special interest in the fabrication of FOEs has been polyvinyledene fluoride -P(VDF) and its binary and ternary compounds, for example polymethyl methacrylate (PMMA).…”

Section: Introductionmentioning

confidence: 99%

Analysis of Disordered Dynamics in Polymer Nanocomposite Dielectrics for the Realization of Fractional-Order Capacitor

Shah

Khanday

2021

IEEE Trans. Dielect. Electr. Insul.

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In this work, analysis of disordered dielectrics is performed in light of partially conductive graphene nanosheets (GNS)/P(VDF) polymer nanocomposites. The analysis shows that the polymer composites with minimal conductivity can be employed as dielectrics for fractional-order capacitor (FOC). GNS weight percentage is varied from 3 to 13 wt% in P(VDF) matrix to track the onset and saturation of conductivity. Impedance spectroscopy of the samples is carried out in the frequency range of 100 Hz to 20 MHz along with XRD and Raman spectroscopy. The phase angle of the impedance varies from-84° to-46° with a maximum phase ripple of 5° over a frequency range of ~ 3 decades. The fractional-order ' ' of the complex impedance varies from 0.93 to 0.51. Nyquist and Bode plots for all the samples are fitted using Cole-Cole model for non-ideal dielectric response and the electrical equivalent circuit based on Cole-Cole model is obtained. The deviation from ideal capacitive behavior is monitored using the equivalent circuit data. Index Terms-fractional-order calculus, fractional-order capacitor (FOC), polymer composites, disordered dielectrics, GNS/P(VDF) composites, Cole-Cole model This work is focused on defining the dynamics of such polymers and their nanocomposites with conductive fillers. Disorder in such dielectrics is altered by changing the Manuscript

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Realization of Integrable Incommensurate-Fractional-Order-Rössler-System Design Using Operational Transconductance Amplifiers (OTAs) and Its Experimental Verification

Cited by 14 publications

References 28 publications

Memristör tabanlı kaotik rössler devresi gerçeklemesi

Memristör tabanlı kaotik rössler devresi gerçeklemesi

PVT-Robust CMOS Programmable Chaotic Oscillator: Synchronization of Two 7-Scroll Attractors

Analysis of Disordered Dynamics in Polymer Nanocomposite Dielectrics for the Realization of Fractional-Order Capacitor

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