On the fractional-order memristor model

Author: tgma

August undefined, 2024

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 … 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 …

Fracmemristor: Fractional-Order Memristor - IEEE Xplore

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. … 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 … how big is an adult colon

Coexistence behavior of a double-MR-based cellular neural …

WebThe 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. 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 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 how big is an adult axolotl

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

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

Web1 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 ... Web24 de abr. de 2024 · This brief leads the synthesis of fractional-order memristor (FOM) emulator circuits. To do so, a novel fractional-order integrator (FOI) topology based on current-feedback operational amplifier and integer-order capacitors is proposed. Then, the FOI is substituting the integer-order integrator inside flux- or charge-controlled … how many nukes did the us haveWeb1 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 … how many nukes does bangladesh have

"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 … " - On the fractional-order memristor model

On the fractional-order memristor model

Fractional-order simplest memristor-based chaotic circuit with new ...

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. 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 ...

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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 …

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 … 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

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. Web20 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.

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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 … how many nuke power plants in franceWeb5 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 … how many nukes does everyone haveWeb11 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. … how big is an adult brine shrimpWeb1 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 … how big is an adult lionWebIn 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 … how big is an adult femur in cmWeb1 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 … how big is an adult ovaryWeb1 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), … how big is an adult possum