On the fractional-order memristor model
WebThe topic of discrete memristor has attracted more and more attention in recent years, but there is not enough discussion about discrete memristor under the fractional-order difference definition, especially for the system model defined by Grunwald–Letnikov. In this paper, a discrete fractional-order memristor model based on Grunwald–Letnikov … Web5 de jun. de 2024 · The Memristor is a new passive element representing relationship between electric charge q and flux φ. The concept of memristors in the generalized fractional order domain has gained much relevance due to their unique behavior which cannot be obtained in conventional elements. The generalized state equations of the …
On the fractional-order memristor model
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Web1 de set. de 2024 · The fractional-order form of the memristor is given by [24], (1) R m = R in q + 1 ∓ Γ q + 2 Γ q g R on-R off ∫ t 0 t-τ q + 1 υ τ d τ 1 q + 1. in which R m, R on, R off and Rin denote the moment, minimum, maximum, and initial value resistances of the memristor, respectively. Also, g and q are the memristor constant and the fractional ... Web21 de jan. de 2024 · However, despite the asymmetricities, the pinched hysteresis loop in the φ(t)-i(t) characteristic which is also a basic fingerprint of the meminductor can be preserved by the fractional-order domain generalization as can be seen from Figures 9 and 10 where the strong agreements between the φ(t)-i(t) Lissajous curve of the device with …
Web1 de mai. de 2024 · This paper studies an interesting second-order memristor-based map model, and the model is constructed to three systems based on Caputo fractional-order difference. Their dynamic behaviors are investigated by the volt–ampere curve, bifurcation diagram, maximum Lyapunov exponent, attractor phase diagram, complexity analysis … Web15 de jan. de 2024 · New criterion for finite-time synchronization of fractional order memristor-based neural networks with time delay. Author links open overlay panel Feifei Du a b, Jun-Guo Lu a b. Show more. Add to Mendeley. ... In Section 2, some preliminaries on fractional derivative and memristor model are presented. In addition, ...
WebThis paper proposes a globally passive but locally active memristor, which has three stable equilibrium points and two unstable equilibrium points, exhibiting two stable locally active regions and four unstable locally active regions. We find that when the memristor operates in a stable local active region, the memristor-based second-order circuit with a parallel … WebIn order to overcome the boundary effect and boundary lock problem existing in classical Hewlett-Packard (HP) non-linear model, the authors propose a novel window function for the fractional-order HP non-linear drift model, in which the fractional calculus is utilised to reflect the memory property of the memristor device. The novel window function is …
WebThe voltage threshold type memristor model is considered, and the FMNNs are represented by fractional-order differential equations with discontinuous right-hand sides. Then, the problem is addressed based on fractional-order differential inclusions and set-valued maps, together with the aid of Lyapunov functions and the comparison principle.
Web1 de mai. de 2024 · This paper studies an interesting second-order memristor-based map model, and the model is constructed to three systems based on Caputo fractional-order difference. Their dynamic behaviors are investigated by the volt–ampere curve, bifurcation diagram, maximum Lyapunov exponent, attractor phase diagram, complexity analysis … paracord halsband makenhttp://math-frac.org/Journals/JFCA/Vol4(1)_Jan_2013/Vol4(1)_Papers/01_Vol.%204(1)%20Jan.%202413,%20No.%201,%20pp.%201-%207..pdf paracord hardware wholesaleWeb1 de nov. de 2024 · Section snippets The Fractional Memristor-Fractional Memcapacitor Circuit (FMFMC) model. By using the current through inductor, the internal state of memristor, the electromagnetic flux and the internal state variable of the memcapacitor the state equations of the memristor-memcapacitor circuit was derived in appendix-1 using … paracord halsbandenWebMy research projects focus on Bridging Physics-based Fractional-order Modeling and Data-driven Approaches for Characterizing and Monitoring … paracord halsband mit biothane adapterWeb21 de mai. de 2024 · For validation, the comparison with benchmarks simulated by using the SPICE HP memristor model with order of 1.25 have been made as also shown in these figures where the strong agreements, which verify such controllability and also validates our results with other α apart from 1 that has been verified in the previous section, can be … paracord halsband setparacord handcuff key buckleWebThe fractional order resistance of the memristor in general for any applied voltage is derived. The generalized formulas and numerical analysis of the step response of the memristor including the instantaneous resistance, startup time and saturation time are studied which will be reduced to the conventional memristor response as α = 1. paracord headphones