On the fractional-order memristor model

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August undefined, 2024

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. http://math-frac.org/Journals/JFCA/Vol4(1)_Jan_2013/Vol4(1)_Papers/01_Vol.%204(1)%20Jan.%202413,%20No.%201,%20pp.%201-%207..pdf

Symmetry Free Full-Text Fractional Levy Stable and Maximum …

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 … things to do near hudsonville mi

Discrete fracmemristor-based chaotic map by Grunwald–Letnikov ...

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 … WebA Nonvolatile Fractional Order Memristor Model and its Complex Dynamics Jian Wu 1, Guangyi Wang 1,*, Herbert Ho-Ching Iu 2,*, Yiran Shen 1 and Wei Zhou 1 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 … things to do near hua hin

Dynamic Behaviors Analysis of a Chaotic Circuit Based on a Novel ...

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

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 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 ... things to do near horley surreyWeb22 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 … salem ma health center

"WebAbstract. In this paper, we structure the idea of the fractal memristor to simulate the nonlinear self-similarity dopant drift effect for the first time. We investigate the fractal memristor device with the use of the local fractional Laplace transform, and the dynamic fractal behavior of the fractal HP TiO 2 memristor model is simulated by ... " - On the fractional-order memristor model

On the fractional-order memristor model

NEW PERSPECTIVE AIMED AT LOCAL FRACTIONAL ORDER …

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 … 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 …

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Web28 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 … Web1 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. …

WebIn this paper, four fractional-order memristor-based Lorenz systems with the flux-controlled memristor characterized by a monotone-increasing piecewise linear function, a quadratic nonlinearity, a smooth continuous cubic nonlinearity and a quartic nonlinearity are presented, respectively. The nonlinear dynamics are analyzed by using numerical … 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.

Web12 de abr. de 2024 · A hyperchaotic map with a new discrete memristor model: Design, dynamical analysis, implementation and application. Lujie Ren, Jun Mou, S. Banerjee, Yushu Zhang; Chaos ... Study on the Complex Dynamical Behavior of the Fractional-Order Hopfield Neural Network System and Its Implementation. Tengyu Ma, Jun Mou, Bo Li, S. … 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 …

WebFractional order memristor model The fractional di erential equation of memristor state can be given by d x dt = ki(t)f(x) (5) By di erentiating both sides of (2), then d R m dt = R d d x dt (6) Substituting by (6) into (5) JFCA-2013/4 ON THE FRACTIONAL-ORDER …

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 … salem ma food pantryWeb11 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. … things to do near indian rocks beach flWeb1 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 … things to do near interlochen miWeb1 de out. de 2024 · In this paper, a fractional-order memristive model with infinite coexisting attractors is investigated. The numerical solution of the system is derived based on the Adomian decomposition method (ADM), and its dynamic behaviors are analyzed by means of phase diagrams, bifurcation diagrams, Lyapunov exponent spectrum (LEs), … things to do near humacao puerto ricoWeb1 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 things to do near innsbruck austriaWebMy research projects focus on Bridging Physics-based Fractional-order Modeling and Data-driven Approaches for Characterizing and Monitoring … things to do near ilfracombe devonWeb5 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 … things to do near i drive