On the fractional-order memristor model

Author: lsyw

August undefined, 2024

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 …

A Nonvolatile Fractional Order Memristor Model and its

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 … 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 … cities of new south wales

Window function for fractional‐order HP non‐linear memristor model ...

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 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), … 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 ... cities of new york city

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

A fractional-order discrete memristor neuron model: Nodal and …

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 … 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 ... cities of new york mapWeb22 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 … cities of new york by population

"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. … " - On the fractional-order memristor model

On the fractional-order memristor model

A Nonvolatile Fractional Order Memristor Model and Its Complex …

Web1 de mai. de 2024 · Dynamics of stimuli-based fractional-order memristor-coupled tabu learning two-neuron model and its engineering applications D. Ding , Xiaoyu Chen , Zongli Yang , Yongbing Hu , Mouyuan Wang , Yanqing Niu 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 …

Did you know?

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 … 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 …

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 … 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.

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 … 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 …

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 …

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. … cities of nicaragua populationWebThe 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 … cities of new york stateWebIn 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 … cities of new york listWeb5 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 … diary of a wimpy kid book 1 online pdfWeb8 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 diary of a wimpy kid book 1 free pdfWeb8 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. cities of new jerseyWebIn 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 … cities of nfl teams