On the fractional-order memristor model

Author: eydp

August undefined, 2024

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 ... WebIn this paper, a boost converter emulator with a memristive load instead of a resistive load is proposed, and a fractional-order model of the memristive boost converter is created. Firstly, the fractional-order models of the memristor and the memristive boost converter are established respectively, and then based on different switching states, the circuit …

Analysis of Memreactance with Fractional Kinetics - Hindawi

Web1 de jan. de 2016 · The term fracmemristance refers to the fractional-order impedance of a fracmemristor. First, the relationship between the fracmemristance and the fractance is discussed. Second, the ... WebIn this paper, a discrete fractional-order memristor model based on Grunwald–Letnikov definition is derived, and two new chaotic maps are designed based on this fractional-order model. Dynamic behaviors are investigated by the volt–ampere curve, bifurcation diagram, Lyapunov exponent spectrum, attractor phase diagram and fuzzy entropy complexity … ipcei what is

Mathematical analysis and emulation of the fractional …

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. WebThe exploration of the memristor model in the discrete domain is a fascinating hotspot. The electromagnetic induction on neurons has also begun to be simulated by some discrete memristors. However, most of the current investigations are based on the integer-order discrete memristor, and there are relatively few studies on the form of fractional order. Web5 de jan. de 2024 · In this paper, the fractional-order simplest memristor-based chaotic circuit is investigated based on the novel conformable Adomian decomposition method (CADM). Dynamics of this circuit is analyzed by employing bifurcation diagram, Lyapunov exponent spectrum, Poincaré section and other methods. The result shows that it has … ipc e learning

$Dynamics of a fractional-order voltage-controlled locally active memristor$

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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 … Web28 de set. de 2024 · The fractional order memristor no equilibrium system is then derived from the integer order model. Lyapunov exponents and bifurcation with fractional order are investigated. An adaptive sliding mode control algorithm is derived to globally synchronize the identical fractional order memristor systems and genetically optimized ... ipce hoursWeb1 de nov. de 2024 · For example, a delayed fractional-order system with a memristor was presented and the system’s stability interval was deduced [18]; an active fractional-order memristor model was addressed and coexisting bifurcations as well as coexisting attractors were found [19]. Hidden attractors of Chua’s circuit coupled with the … opentech minecraft

"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 … " - On the fractional-order memristor model

On the fractional-order memristor model

Fracmemristor: Fractional-Order Memristor - IEEE Xplore

Web14 de abr. de 2024 · Artificial neural networks are mathematical models to simulate the structure and function of human brain’s nervous system, ... Jia J, Huang X, Li Y, Cao J, Alsaedi A (2024) Global stabilization of fractional-order memristor-based neural networks with time delay. IEEE Trans Neural Netw Learn Syst 31:997–1009. WebRecent works have focused the analysis of chaotic phenomena in fractional discrete memristor. However, most of the papers have been related to simulated results on the system dynamics rather than on their hardware implementations. This work reports the implementation of a new chaotic fractional memristor map with “hidden …

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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 … Web11 de abr. de 2024 · In this paper, a wind speed prediction method was proposed based on the maximum Lyapunov exponent (Le) and the fractional Levy stable motion (fLsm) iterative prediction model. First, the calculation of the maximum prediction steps was introduced based on the maximum Le. The maximum prediction steps could provide the prediction …

Web1 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 … Web21 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 …

Web1 de jun. de 2024 · Memcapacitor is a new type of memory device generalized from the memristor.This paper proposes a generalized fractional-order memcapacitor model by introducing the fractional calculus into the model. The generalized formulas are studied and the two fractional-order parameter α, β are introduced where α mostly affects the … 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, ...

Web29 de set. de 2024 · It is found that the fractional order memristor model can better simulate the characteristics of memristors and that chaotic circuits based on fractional order memristors also exhibit abundant dynamic behavior. This paper proposes an active fractional order memristor model and analyzes the electrical characteristics of the … ipcei waveWeb20 de fev. de 2024 · Many literatures have discussed fractional order memristor and memcapacitor-based chaotic oscillators but the entire oscillator model is considered to be of fractional order. My interest is to propose a nonlinear oscillator with considering only the memcapacitor element of fractional order. opentech mantionWeb1 de out. de 2024 · Cubic model of flux-controlled memristor model is presented in this work and the model is analyzed at various fractional orders. Analytic computations with a sinusoidal source shows that the v-i loop can have up to two more additional intersection points aside from the origin and are located in the 1 st and 3 rd quadrants respectively. … ipcei hydrogène hy2techWeb25 de jan. de 2024 · By showing that there is no any memristor in the integer-order Hindmarsh–Rose (H–R) model, the slow ion channel is remodeled by a fractional-order memristor, where the fractional-order derivative is related to the memory effect and the decay rate of the ion current. Then a fractional-order memristive (FOM) H–R model … ipce inflationWeb11 de ago. de 2024 · So in this paper, we introduce fractional calculus to construct FMMAMNNs. Combining the advantages of memristor and fractional calculus, this model can more accurately describe multidirectional ... Finite-time synchronization of fractional-order memristor-based neural networks with time delays. Neural Netw., 73 (2016), pp. … open technologies srlWebThe 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 … ipcei wasserstoff bremenWeb21 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 … open technical writing