On the fractional-order memristor model

Author: pzzz

August undefined, 2024

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 … 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 …

Chaos in the discrete memristor-based system with fractional …

Web1 de jan. de 2013 · In 2014, Fouda et al. proposed a fractional-order memristor model by improving the TiO 2 memristor model, and the relationship between the memristive value of the model, the input signal and the ... Web1 de jun. de 2024 · In this paper, we investigate the mathematical models of discrete memristors based on Caputo fractional difference and G–L fractional difference. Specifically, the integer-order discrete memristor is a special model of those two cases. The “∞”-type hysteresis loop curves are observed when input is the bipolar periodic … radrl

[PDF] ON THE FRACTIONAL-ORDER MEMRISTOR MODEL

Web5 de set. de 2024 · We consider a discrete fractional order memristor to mimic the effects of electromagnetic flux on the neuron model. The bifurcation dynamics of the fractional order neuron map show an inverse period-doubling route to chaos as a function of control parameters, namely the fractional order of the map and the flux coupling coefficient. 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 … dramatist\u0027s 46

Fractional-Order Memristor response to periodic current functions ...

Window function for fractional‐order HP non‐linear memristor …

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 … WebDownload scientific diagram Diffusive evolution of fractional model (6) for α=0.96 and time t ∈ (0, 10) [Colour figure can be viewed at wileyonlinelibrary.com] from publication: Numerical ... dramatist\u0027s 4gWeb1 de dez. de 2024 · Abstract and Figures. In this paper, a new four-dimensional incommensurate fractional-order system is proposed by introducing an ideal flux-controlled memristor into a three-dimensional chaotic ... dramatist\u0027s 49

"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 … " - On the fractional-order memristor model

On the fractional-order memristor model

Global Stabilization of Fractional-Order Memristor-Based Neural ...

Web1 de jan. de 2015 · Also, this relation could be generalized to include memcapacitor and meminductor in addition to fractional-order memcapacitor (FOMC) and fractional-order meminductor (FOMI). 3.4.2 Fractional-Order Memristor Model. The fractional differential equation of memristor state [29, 30] can be given by Web22 de abr. de 2016 · This paper mainly discusses an interesting conceptual framework: the fractional-order memristor (fracmemristor). It is a challenging theoretical problem to determine what the fracmemristor interpolating characteristics between the memristor and the capacitor or inductor are, and where the positions of the fracmemristor in the Chua's …

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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 … WebIn this paper, a fractional-order chaotic circuit based on a novel fractional-order generalized memristor is proposed. It is proved that the circuit based on the diode bridge cascaded with fractional-order inductor has volt-ampere characteristics of pinched hysteresis loop. Then the mathematical model of the fractional-order memristor …

Web9 de mar. de 2024 · The properties of a fractional-order memristor is studied, and the influences of parameters are analyzed and compared. The results reflect that the resistance value of a fractional-order memristor can be affected by fraction-order, frequency, the switch resistor ratio, average mobility and so on. In addition, the circuit of a fractional … Web1 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 …

Web1 de abr. de 2024 · In the present paper, for the first time, we propose a variable-order hyperchaotic system for information security. Firstly, we study the dynamical behaviors of a memristor oscillator through well-known numerical and analytical tools, such as the Lyapunov exponents, stability of equilibria, and bifurcation diagram.Then as an … 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.

Web28 de mai. de 2024 · In this paper, a fractional-order locally active memristor is proposed based on the definition of fractional derivative. It is found that the side lobe area of the pinched hysteretic curve of the memristor changes with the fractional-order value, and the side lobe’s area of the fractional-order memristor is greater than that of the memristor …

Web25 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 … rad ringos donutsWeb8 de abr. de 2024 · Nonlinear Dynamics in the Coupled Fractional-Order Memristor Chaotic System and Its Application in Image Encryption April 2024 Mathematical Problems in Engineering 2024 dramatist\u0027s 4aWeb8 de ago. de 2024 · A memristor is a nonlinear resistor with memory. It is regarded as the fourth basic circuit elements. The fractional order model of memristor is an extension of integer order model for memristor. radriveWebMy research projects focus on Bridging Physics-based Fractional-order Modeling and Data-driven Approaches for Characterizing and Monitoring … dramatist\u0027s 4eWeb28 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 ... dramatist\u0027s 4iWeb28 de jan. de 2024 · Two fractional-order Chua’s memristive circuits named Model 1 and Model 2 are proposed. Model 1 is a fractional-order memristive circuit with only the memristor described by a fractional-order derivative due to the memory loss observed experimentally, while Model 2 is a direct fractional-order generalization of integer-order … ra dr. kreuzerWeb14 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. radrive 阿里云盘