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Modeling epidemiological dynamics of AIDS infection is an indispensable method to track the spread of such fatal disease. In this paper, the Differential Infectivity and Staged Progression Model, DISP, is modified to include the possibility of recovery, hence the new proposed model is called the DISPR model. The DISPR model is also generalized to the fractional order domain to allow more flexibility...
This paper is dedicated to develop a fractional order model of the rate of change of cancerous blood cells in Chronic Myeloid Leukaemia using fractional-order differential equations as well as tackling the factors that affect this rate and compare between them. The simulated cases (using MATLAB) prove that the proposed model is doable in terms of the variables positions in the equations and its effect...
This paper discusses voltage-controlled M-M relaxation oscillator with analytical and circuit simulations. The introduced circuit has two different configurations based on the polarities of memristor; whether they are in the same direction or in the opposite direction. The Analytical formulas are function of the reference voltage such as the oscillation frequency and oscillation conditions for each...
This paper studies the famous Fitzhugh-Nagumo and Izhikevich neuron models in the fractional-order domain. Generalization of the integer models into the fractional-order domain providing a wider scope understanding of the neuron systems. The fractional Fitzhugh-Nagumo circuit model and the state space equations are introduced. Different fractional orders are studied as an example. Numerical solutions...
In this paper, the analogy between electrical and mechanical quantities is reviewed. Based on this analogy, there is a missing link between displacement and momentum. This missing link corresponds to the link between the charge and flux which represents the memristor. This link is still missing between the mechanical quantities. In this work, we shed the light on this missing mechanical element. We...
This paper demonstrates some fundamentals concerning the study of the Fractional order Transmission Line (FTL) operation. A numerical algorithm applied to study the transient analysis is shown describing the abnormal diffusion that appears in the operation of the TL. According to the steady state analysis of the FTL operation, the superior advantages over the conventional domain of imposing the fractional...
This paper introduces a memristor based redundant binary adder for canonic signed digit code, that coding eliminates the carry and provides a carry-free addition. The proposed binary adder circuit tries to achieve high addition speed that is independent on the length of the data using the accumulation property of a Nano-element called a memristor. The general block diagram of the proposed circuit...
This paper presents a digital implementation of a 3rd order chaotic system using the Euler approximation. Short-term predictability is studied in relation to system precision, Euler step size and attractor size and optimal parameters for maximum performance are derived. Defective bits from the native chaotic output are neglected and the remaining pass the NIST SP. 800-22 tests without post-processing...
Recently, Memristive elements such as memristor, memcapacitor and meminductors have become very attractive components in many applications, due to its unique behavior which can not be obtained using the other conventional elements. This paper discusses the analytical analysis of two memcapacitors connected in series and in parallel taking the effect of mismatch in mobility factor and polarity of each...
This paper introduces a memristor based ternary adder, which is an essential building block for any arithmetic ternary operations. The proposed ternary adder circuit tries to achieve the theoretical advantages of the ternary system, increase the density and decrease the processing time by using the memristor properties such as its hysteresis and nanotechnology. The general block diagram of the proposed...
This paper introduces a generalized fully digital hardware implementation of 1-D, 2-D and 3-D multiscroll chaos through sawtooth nonlinearities in a 3rd order ODE with the Euler approximation, wherein low-significance bits pass all NIST SP. 800-22 tests. The low-significance bits show good performance as spreading code for multiple-access DS-CDMA in AWGN and multipath environments, equivalent to Gold...
This paper introduces the modified single input Op-Amps memristor based oscillator. The oscillator is realized with ideal, LM741 and current feedback (AD844) Op-Amps where memristors replace resistors. The effect of memristor on the oscillation frequency and the oscillation condition that are totally independent is studied. This helped in studying the whole operation regime of the memristor. The effect...
This paper introduces a testing algorithm based on the inverse problem concept. This algorithm detects single and double parametric faults in analog circuits by estimating the actual parameter values of the CUT. To verify the effectiveness of the proposed algorithm, it is applied to the Sallen-Key second order band pass filter where all injected faults are detected and diagnostic correctly with max...
This paper introduces a memristor-based oscillator using Deboo integrator. Three different cases are discussed in which a resistor is replaced with a memristor in each case one at a time. These resistors are affecting the condition or frequency of oscillation or both. The effect of changing wide range of Rinit of the memristor on the circuit behavior is introduced for different cases. The study of...
This paper presents two memristor-based relaxation oscillators. The proposed oscillators are designed without the need of any reactive elements, i.e., capacitor or inductor. As the "resistance storage" property of the memristor can be exploited to generate the oscillation. The proposed oscillators have the advantage that they can be fully integrated on-chip giving an area-efficient solution...
Recently, the applications of memristors have spread into many fields and especially in the circuit theory. Many models have been proposed for the HP-memristor based on the window functions. In this paper, we introduce a complete mathematical analysis of the controlled reactance-less oscillator for two different window functions of Joglekar's model (linear and nonlinear dopant drift) to discuss the...
This work introduces Maxwell's equations in their time domain fractional derivatives form. Some special cases of fractional order wave equations are shown. Studying the effect of fractional-order derivatives with respect to time on the generalized analysis and fundamentals of the rectangular waveguide is the main focus of this work. The effect of the fractional-order parameters on the waveguide properties...
Threshold voltage cancellation (Vt cancellation) scheme is applied to cancel the threshold drop associated with the diode-connected device and improve charge pump performance. Applying this scheme depends on generating control signals from the next stage so it cannot be applied on the output stage. In this paper Vt cancellation is applied for the output stage of modified Pelliconi pump. This is done...
For the first time, a generalized admittance Smith chart theory is introduced to represent fractional order circuit elements. The principles of fractional order matching circuits are described. We show that for fractional order α < 1, a single parallel fractional element can match a wider range of load impedances as compared to its series counterpart. Several matching examples demonstrate...
This paper introduces the fully digital implementation of a 1-D multiscroll chaos generator based on a staircase nonlinearity in the 3rd-order jerk system using the Euler approximation. For the first time, digital design is exploited to provide real-time controllability of (i) number of scrolls, (ii) position in 1-D space, (iii) Euler step size and (iv) system parameter. The effect of variations in...
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