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In this paper, some traditional methods used to solve complex functional equation were introduced at first, and then an improved ant colony algorithm based on DE operation is proposed. In the following, the algorithm given in this paper was utilized to get roots of complex functional equation, and satisfactory results are obtained. Some key technologies of the mathematical theory and algorithms about...
In this paper, a new iterative algorithm for determination of direction cosine matrix (DCM) is presented, it can be expressed as two forms, matrix exponential and six scalar differential equations respectively, corresponding to each form, related algorithms used for the orthonormalization are derived, although the simulations and algorithm analysis are omitted here, the Van test results verified its...
The coupled bending-torsional buffeting oscillation of a three- dimension structure is discussed in this paper firstly, after analyzing the equation of the coupled galloping motion differential equation, an easily settled motion differential equation of two degree of freedom is derived, at the same time, aero dynamical items in the second-order items is exactly considered, and three-series method...
A generalized Caputo fractional derivative definition is first proposed. Based on that, two comparison inequalities for scalar and vector nonlinear fractional-order systems are constructed, respectively. An example is provided to show how the tools be used to analyze the stability of nonlinear fractional-order systems.
In the paper, we derive a delayed reaction-diffusion equations, which describes a multi-species Predator-prey system. By coupling the perturbation approach with the method of upper and lower solutions, we prove that the traveling wave fronts exist and appear monotone, which connect the zero solution with the positive steady state. Finally, we draw a conclusion to point out that the existence of traveling...
In this paper, one studies the existence and uniqueness of almost periodic mild solutions to fractional delayed differential equations of the form Dtα x(t) = Ax(t) + Dtα-1 f(t, xt) where 1 <; α <; 2, A: D(A) ⊂ X → X is a linear densely defined operator of sectional type on a complex Banach space X and f: R × X → X is jointly continuous. Let f(t, x) be almost periodic in t ∈ R uniformly for x...
Mathematical equations are possible to simulate with various electronic circuits. Inductors and capacitors intrinsically are capable of integrating and differentiating, and active components alone can realize such algebraic operations as addition and multiplication. In this work, linear differential equations are shown to be implemented with three active components, namely operational amplifiers(Opamp),...
In this paper, an impulsive reaction-diffusion system is studied. Sufficient conditions are obtained for the global existence of solution for the impulsive system. By considering the equiattractivity property of the impulsive error system, the impulsive synchronization of the reaction-diffusion system is investigated, and the sufficient conditions leading to the equiattractivity property are obtained,...
This work is concerned with the asymptotic behavior of solutions of a class of second order nonlinear differential equations locally near infinity. Using Bihari's inequality, we give some sufficient conditions under which all continuable solutions are asymptotic to at+b as t→+∞, where, are real constants.
Multiresolution or wavelet analysis is widely used in advanced data compression algorithms, and some approaches applied this technique in describing electromagnetic fields. The main goal of the application of MRA is its flexibility, i.e., since the details of the electromagnetic field are not distributed equally over different parts of the system, thus locally different resolution level can be applied...
Matrix embedding has been used to improve the embedding efficiency of steganography, which is an efficient method to enhance the concealment security. The privacy security of matrix embedding has also been studied under the condition of known-stego-object attack. However, with the development of steganalysis, the attacker could obtain the estimated cover by the cover restoration technique. Consequently,...
In this paper, a vector control mechanism has been suggested and applied to simulate the operation of a Doubly-Fed Induction Generator (DFIG) attached to an isolated off-the-grid wind turbine, to demonstrate that these generators can be used at lower costs to control the power quality in stand alone wind turbines. In order to achieve this end, the alignment of the d-axis of the synchronously rotating...
The stability of equilibrium point of neural network for the large-scale dynamic system is extremely important. This article has studied the stability of equilibrium point of vector differential equation of the asymmetrical internet, proposed to utilize approximate linear equation to study the stability problem of equilibrium point of neural network. This method is simple and effective to examine...
A new oscillator macromodel in the form of phase differential equation is proposed. The comparison of new macromodel with the Adler equation and with the macromodel based on Floquet theory is presented. It is shown that the proposed approach allows to perform phase noise analysis of any oscillator circuit with arbitrary periodic injection waveform. The approach can be easily implemented into a circuit...
An FETD method on waveguides is investigated using Galerkin's method to discretize Maxwell's equations directly in the spatial domain and solve a first-order ordinary differential equation in the time domain. As numerical examples, we study one dimensional wave propagations in a wave guide with nonreflecting boundaries, wave excitations, and wave propagations in a two dimensional wave guide with an...
The paper presents a complete mathematical analysis of a sinusoidal BLDC motor commutation. The motor is supplied from a DC source via a 6-leg inverter using the 120degON operation. The commutation period of 60 electrical degrees is divided into two sub-periods, for which the corresponding differential equations are solved using the initial and final conditions. The obtained model is simple to apply;...
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