On the fractional-order memristor model
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 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 ...
On the fractional-order memristor model
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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.
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 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), …
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 · 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
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 …
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 … inclination\\u0027s s2WebIn 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 … inboxdollars real or fakeWeb28 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 ... inclination\\u0027s s5Web25 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 … inboxdollars reddit 2022WebThis 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 … inclination\\u0027s s4Web1 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 … inclination\\u0027s s8Web14 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. inboxdollars receipts