scholarly journals A random signal generator by using analog electronics

2021 ◽  
pp. 5-8
Author(s):  
Leonardo Acho
Keyword(s):  
Electronic Circuit ◽  
Signal Generator ◽  
Random Signal ◽  
Mathematical Tool ◽  
Describing Function ◽  
Linear Dynamical Systems ◽  
Analog Electronics ◽  
The Time Domain ◽  
Electronic Elements ◽  
Powerful Mathematical Tool

The describing function theory is a powerful mathematical tool to predict oscillations in non-linear dynamical systems. This theory is here invoked to design a random signal generator and realized by using analog electronic elements. Then, and according to experimental results, histograms of the resultant signal are shown along with the generated signal in the time domain. Finally, the proposed electronic circuit is simple and cheap to construct.

scholarly journals Application of He’s Variational Iteration Method to Nonlinear Integro-Differential Equations

2010 ◽  
Vol 65 (5) ◽  
pp. 418-430 ◽  
Author(s):  
Ahmet Yildirim
Keyword(s):  
Differential Equations ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Mathematical Tool ◽  
Variational Iteration ◽  
He’S Variational Iteration Method ◽  
Powerful Mathematical Tool

In this paper, an application of He’s variational iteration method is applied to solve nonlinear integro-differential equations. Some examples are given to illustrate the effectiveness of the method. The results show that the method provides a straightforward and powerful mathematical tool for solving various nonlinear integro-differential equations

High Speed Pseudo-Random Signal Generator Based On FPGA

2019 ◽  
Author(s):  
Zhang Yuan ◽  
Xu Xiao-Dong ◽  
Shi Xiao-Feng ◽  
Zhao Zheng-Ping ◽  
Li Heng
Keyword(s):  
High Speed ◽  
Signal Generator ◽  
Random Signal

Determination of the Limit Cycle by He’s Parameter-Expansion for Oscillators in a u3 / (1 + u2) Potential

2007 ◽  
Vol 62 (7-8) ◽  
pp. 396-398 ◽  
Author(s):  
Li-Na Zhang ◽  
Lan Xu
Keyword(s):  
Exact Solutions ◽  
Limit Cycle ◽  
Limit Cycles ◽  
Expansion Method ◽  
Nonlinear Oscillators ◽  
Mathematical Tool ◽  
Parameter Expansion ◽  
Parameter Expansion Method ◽  
Powerful Mathematical Tool

This paper applies He’s parameter-expansion method to determine the limit cycle of oscillators in a u3/(1+u2) potential. The results are compared with the exact solutions. This shows that the method is a convenient and powerful mathematical tool for the search of limit cycles of nonlinear oscillators.

AN INNOVATIVE TECHNIQUE FOR QUALITY CONTROL OF GEAR PUMPS

2002 ◽  
Vol 09 (04) ◽  
pp. 383-392
Author(s):  
GIULIO FANTI ◽  
ROBERTO BASSO ◽  
MICHELE BERNARDI ◽  
UMBERTO VERZA
Keyword(s):  
Quality Control ◽  
Fourier Transform ◽  
Frequency Analysis ◽  
Time Domain ◽  
Mathematical Tool ◽  
Pressure Data ◽  
Innovative Technique ◽  
Gear Pumps ◽  
The Time Domain ◽  
Discharge Pressure

This paper describes an innovative technique for the quality control of gear pumps based on the frequency analysis of the oscillations of the discharge pressure using a new mathematical tool called "the spectrum of the power cepstrum." It consists in applying Fourier transform of the pressure data sampled in the time domain three times consecutively. The innovative technique makes it possible to obtain an acceptance mask for a set of gear pumps in the same series, in which the class and entity of a defect can be detected.

scholarly journals Application of He's Variational Iteration Method to Solve Semidifferential Equations of th Order

2008 ◽  
Vol 2008 ◽  
pp. 1-9 ◽  
Author(s):  
Asghar Ghorbani ◽  
Abdolsaeed Alavi
Keyword(s):  
Iteration Method ◽  
Present Method ◽  
Variational Iteration Method ◽  
Convergent Series ◽  
Mathematical Tool ◽  
Spline Method ◽  
Weak Nonlinearity ◽  
Variational Iteration ◽  
He’S Variational Iteration Method ◽  
Powerful Mathematical Tool

He's variational iteration method is applied to solve th order semidifferential equations. Comparison is made between collocation spline method based on Lagrange interpolation and the present method. In this method, the solution is calculated in the form of a convergent series with an easily computable component. This approach does not need linearization, weak nonlinearity assumptions, or perturbation theory. Some examples are given to illustrate the effectiveness of the method; the results show that He's method provides a straightforward and powerful mathematical tool for solving various semidifferential equations of the th order.

On soft ordered ternary semihypergroups

2018 ◽  
Vol 7 (1-2) ◽  
pp. 27-39
Author(s):  
Muhammad Farooq ◽  
Asghar Khan ◽  
Muhammad Izhar ◽  
Bijan Davvaz
Keyword(s):  
General Framework ◽  
Mathematical Tool ◽  
Soft Sets ◽  
Powerful Mathematical Tool

Theory of soft sets proposed by Molodtsov as a general framework for reasoning about vague concepts is a powerful mathematical tool for modelling various types of uncertainties. In this paper, we introduce the notions of intersectional soft subsemihypergroup, intersectional soft left (lateral, right) hyperideal of ordered ternary semihypergroups and related properties are investigated. We present characterizations of right weakly regular ordered ternary semihypergroups by means of intersectional hyperideals.

scholarly journals Exact Explicit Traveling Wave Solution for the Generalized (2+1)-Dimensional Boussinesq Equation

2011 ◽  
Vol 2011 ◽  
pp. 1-10
Author(s):  
Libing Zeng ◽  
Keding Qin ◽  
Shengqiang Tang
Keyword(s):  
Traveling Wave ◽  
Boussinesq Equation ◽  
Nonlinear Partial Differential Equations ◽  
Mathematical Physics ◽  
Traveling Wave Solution ◽  
Mathematical Tool ◽  
Extended Tanh Method ◽  
Physical Problems ◽  
Tanh Method ◽  
Powerful Mathematical Tool

The sine-cosine method and the extended tanh method are used to construct exact solitary patterns solution and compactons solutions of the generalized (2+1)-dimensional Boussinesq equation. The compactons solutions and solitary patterns solutions of the generalized (2+1)-dimensional Boussinesq equation are successfully obtained. These solutions may be important and of significance for the explanation of some practical physical problems. It is shown that the sine-cosine and the extended tanh methods provide a powerful mathematical tool for solving great many nonlinear partial differential equations in mathematical physics.

scholarly journals Symmetry reduction a promising method for heat conduction equations

2019 ◽  
Vol 23 (4) ◽  
pp. 2219-2227
Author(s):  
Yi Tian
Keyword(s):  
Heat Conduction ◽  
Exact Solutions ◽  
Wave Equations ◽  
Reduction Method ◽  
Variational Iteration Method ◽  
Mathematical Tool ◽  
Approximate Methods ◽  
Similarity Reduction ◽  
Homotopy Perturbation ◽  
Powerful Mathematical Tool

Though there are many approximate methods, e. g., the variational iteration method and the homotopy perturbation, for non-linear heat conduction equations, exact solutions are needed in optimizing the heat problems. Here we show that the Lie symmetry and the similarity reduction provide a powerful mathematical tool to searching for the needed exact solutions. Lie algorithm is used to obtain the symmetry of the heat conduction equations and wave equations, then the studied equations are reduced by the similarity reduction method.

scholarly journals Diseño de laboratorio lógico programable

2020 ◽  
pp. 24-29
Author(s):  
Ana Lilia González-Monzón ◽  
Luis Kevin Pacheco-Alvarado ◽  
Alfredo Aguilar-López
Keyword(s):  
Printed Circuit Board ◽  
Circuit Board ◽  
Physical Support ◽  
Analog Electronics ◽  
Chip Processing ◽  
On Chip ◽  
Practice Time ◽  
Digital Components ◽  
Electronic Elements ◽  
Improved Characteristics

In the present work, emerging technologies require rapid training in them for SOC (System On Chip) processing, which has improved characteristics such as power consumption, system design and processing speed, which is why electronic elements that help with the learning and practice time of these topics, therefore the objective is to design a prototype of a programmable logic laboratory at the Tecnológico de Estudios Superiores de Jilotepec considering the nature of the project, it was developed through a methodology that will guide step to I pass the activities such as the CDIO that is used in the engineering area which consists of four stages: conception, design, implementation, the main contribution is to help students to carry out their practices through a printed circuit board or PCB that basically it is a physical support where all the electronic and digital components that are They are used in different subjects such as digital electronics, basic programming, advanced programming, digital control, analog electronics, which require using the devices to know their interconnection operation and through programming when carrying out the practices that make it up using the least possible time to carry out each one.

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