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Global Exponential Stability For A Class Of Impulsive Bam Neural Networks With Distributed Delays, I. M. Stamova, G. Tr. Stamov, J. O. Alzabut
Global Exponential Stability For A Class Of Impulsive Bam Neural Networks With Distributed Delays, I. M. Stamova, G. Tr. Stamov, J. O. Alzabut
Applied Mathematics & Information Sciences
In this paper, the exponential stability is investigated for a class of BAM neural networks with distributed delays and nonlinear impulsive operators. By using Lyapunov functions and applying the Razumikhin technique, delay–independent sufficient conditions ensuring the global exponential stability of equilibrium points are derived. These results can easily be utilized to design and verify globally stable networks. An illustrative example is given to demonstrate the effectiveness of the obtained results.
And-Not Logic Framework For Steady State Analysis Of Boolean Network Models, Alan Veliz-Cuba, Kristina Buschur, Rose Hamershock, Ariel Kniss, Esther Wolff, Reinhard Laubenbacher
And-Not Logic Framework For Steady State Analysis Of Boolean Network Models, Alan Veliz-Cuba, Kristina Buschur, Rose Hamershock, Ariel Kniss, Esther Wolff, Reinhard Laubenbacher
Applied Mathematics & Information Sciences
In this paper we propose the class of AND-NOT networks for modeling biological systems and show that it provides several advantages. Some of the advantages include: Any finite dynamical system can be written as an AND-NOT network with similar dynamical properties. There is a one-to-one correspondence between AND-NOT networks, their wiring diagrams, and their dynamics. Results about AND-NOT networks can be stated at the wiring diagram level without losing any information. Results about AND-NOT networks are applicable to any Boolean network. We apply our results to a Boolean model of Th-cell differentiation.
Simulation Of Join Cardinalities In Random Databases Using Poisson Stochastic Processes, Letiția Velcescu
Simulation Of Join Cardinalities In Random Databases Using Poisson Stochastic Processes, Letiția Velcescu
Applied Mathematics & Information Sciences
In this paper, using Poisson stochastic processes, we introduce an approach to the problem of the approximate join operation in random databases. It is shown that the cardinalities of the result sets obtained from an approximate join operation follow this type of stochastic process. Initially, we treat the case of the approximate join between two random tables, which is accomplished using a homogeneous bidimensional Poisson process. Further, we extend the obtained result to the case of the multiple join. This generalization is made through a multidimensional Poisson process. As a consequence, the algorithms that simulate these processes can also simulate …
A Parameter-Uniform Method For Two Parameters Singularly Perturbed Boundary Value Problems Via Asymptotic Expansion, D. Kumar, A. S. Yadaw, M. K. Kadalbajoo
A Parameter-Uniform Method For Two Parameters Singularly Perturbed Boundary Value Problems Via Asymptotic Expansion, D. Kumar, A. S. Yadaw, M. K. Kadalbajoo
Applied Mathematics & Information Sciences
An approximate method for two parameters singularly perturbed boundary value problems having boundary layers at both end points is given. The method is motivated by the asymptotic behavior of the solution. In the outer region the solution of the problem is approximated by the zeroth order asymptotic expansion while in the inner region the solution of the problem is obtained by using Bspline collocation method. The method is iterated on the transition point of the boundary layer region. To demonstrate the applicability of the method two test examples are considered.
Global Error Minimization Method For Nonlinear Oscillators With Highly Nonlinearity, Muhammad Aslam Noor, Waseem Asghar Khan, Muhammad Arif
Global Error Minimization Method For Nonlinear Oscillators With Highly Nonlinearity, Muhammad Aslam Noor, Waseem Asghar Khan, Muhammad Arif
Applied Mathematics & Information Sciences
In this paper, we used Global ErrorMinimization (GEM)method for nonlinear oscillators. This method convert the nonlinear oscillators into an equivalent optimization problem to obtain an analytical solution of the problem. Approximate solution obtained by GEM method is compared with the solution of He’s variational approach. We observe from the results that this method is very simple, easy to apply, and gives a very good accuracy by using first-order approximation and simplest trial functions. Comparison made with other known results show that new method provides a mathematical tool to the determination of limit cycles of more complex nonlinear oscillators. This method …
Approximates Method For Solving An Elasticity Problem Of Settled Of The Elastic Ground With Variable Coefficients, Mustafa Bayram, Kenan Yildirim
Approximates Method For Solving An Elasticity Problem Of Settled Of The Elastic Ground With Variable Coefficients, Mustafa Bayram, Kenan Yildirim
Applied Mathematics & Information Sciences
In this paper, we have given numerical solutions of the elasticity problem of settled on the elastic ground with variable coefficient. Firstly, we calculate the generalized successive approximation of the given boundary value problem and we transform it into Pad´e series form, which give an arbitrary order for solving differential equation numerically. Secondly, we apply Homotopy Perturbation Method(HPM) to given boundary value problem. Then we compare HPM and the generalized successive approximation -Pad´e Approximates method by means of numerical solution of given
A Novel Remote User Authentication And Key Agreement Scheme For Mobile Client-Server Environment, Haiyan Sun, Qiaoyan Wen, Hua Zhang, Zhengping Jin
A Novel Remote User Authentication And Key Agreement Scheme For Mobile Client-Server Environment, Haiyan Sun, Qiaoyan Wen, Hua Zhang, Zhengping Jin
Applied Mathematics & Information Sciences
Recently, many identity (ID)-based user authentication and key agreement schemes for mobile client-server environment were proposed. However, these schemes are subjected to an inherent design weakness, namely, the server knows all users’ private keys. Under this problem, these schemes cannot provide insider attack resistance or mutual authentication. Furthermore, some of these schemes cannot simultaneously provide user anonymity, perfect forward secrecy, or leakage of session temporary secrets resistance. In this paper, we propose a strongly secure remote user authentication and key agreement scheme to solve these security weaknesses. Security proof shows that the proposed scheme can achieve mutual authentication and key …
Modeling Of A Power Amplifier For Digital Pre-Distortion Applications Using Simplified Complex Memory Polynomial, Ruchi Pasricha, Sanjay Sharma
Modeling Of A Power Amplifier For Digital Pre-Distortion Applications Using Simplified Complex Memory Polynomial, Ruchi Pasricha, Sanjay Sharma
Applied Mathematics & Information Sciences
With the advent of spectrally efficient wireless communication systems employing modulation schemes with varying amplitude of the communication signal, linearization techniques for nonlinear microwave power amplifiers have gained significant interest. The linearization task can be divided into two parts: exact modeling of the power amplifier (PA) to be linearized and development of linearization technique. In this paper PA modeling using simplified complex memory polynomial has been presented. The proposed model has been tested using two-tone method.
Some New Classes Of Quasi Split Feasibility Problems, Muhammad Aslam Noor, Khalida Inayat Noor
Some New Classes Of Quasi Split Feasibility Problems, Muhammad Aslam Noor, Khalida Inayat Noor
Applied Mathematics & Information Sciences
In thispaper, we introduce and consider a new problem of finding u ∈ K(u) such that Au ∈C, where K : u→K(u) is a closed convex-valued set in the real Hilbert space H1, C is closed convex set in the real Hilbert space H2 respectively and A is linear bounded self-adjoint operator from H1 and H2. This problem is called the quasi split feasibility problem. We show that the quasi feasibility problem is equivalent to the fixed point problem and quasi variational inequality. These s alternative equivalent formulations are used to consider the existence of a solution of the quasi …
Creating Unorganised Machines From Memristors, Gerard Howard, Larry Bull, Ben De Lacy Costello, Andrew Adamatzky
Creating Unorganised Machines From Memristors, Gerard Howard, Larry Bull, Ben De Lacy Costello, Andrew Adamatzky
Applied Mathematics & Information Sciences
There is growing interest in memristive devices following their recent nanoscale fabrication. This paper describes initial consideration of the implementation of artificial intelligence within predominantly memristive hardware. In particular, versions of Alan Turing’s discrete dynamical network formalism — the unorganised machine — are used as the knowledge representation scheme and a population-based search technique is used to design appropriate networks. Issues including memristor count and global network synchrony are compared for two memristive logic implementations (NAND and IMP) on a well-known simulated robotics benchmark task. It is shown that IMP networks are harder to design than NAND, but are simpler …
Security Analysis Of Order Preserving Symmetric Cryptography, Santi Mart?Nez, Josep M. Miret, Rosana Tomàs, Magda Valls
Security Analysis Of Order Preserving Symmetric Cryptography, Santi Mart?Nez, Josep M. Miret, Rosana Tomàs, Magda Valls
Applied Mathematics & Information Sciences
Order preserving encryption is a type of homomorphic encryption in which the homomorphic operation is order comparison. This means that comparing encrypted data returns the same result than comparing the original data. This allows to order encrypted data without the need of decryption. A possible use for this kind of cryptosystems is in databases, where a record field may be encrypted and still permit range queries. An important problem is determining how good a particular order preserving encryption scheme is. In fact, characteristics of order preserving cryptosystems make traditional security analysis useless. In this paper, we propose two different methodologies, …
Forecasting Meteorological Time Series Using Soft Computing Methods: An Empirical Study, Elena Bautu, Alina Barbulescu
Forecasting Meteorological Time Series Using Soft Computing Methods: An Empirical Study, Elena Bautu, Alina Barbulescu
Applied Mathematics & Information Sciences
The interest of researchers in different fields of science towards modern soft computing data driven methods for time series forecasting has grown in recent years. Modeling and forecasting hydrometeorological variables is an important step in understanding climate change. The application of modern methods instead of traditional statistical techniques has lead to great improvement in past studies on meteorological time series. In this paper, we employ Support Vector Regression (SVR) and automatic model induction by means of Adaptive Gene Expression Programming (AdaGEP) for modeling and short term forecasting of real world hydrometeorological time series. The investigated time series datasets cover annual, …
A Recurrence Relation Of Hypergeometric Series Through Record Statistics And A Characterization, M. Mohsin, Jürgen Pilz
A Recurrence Relation Of Hypergeometric Series Through Record Statistics And A Characterization, M. Mohsin, Jürgen Pilz
Applied Mathematics & Information Sciences
In this paper, a new general recurrence relation of hypergeometric series is derived using distribution function of upper record statistics. The result can be extended easily to k-records statistics. A characterization is given on the basis of this recurrence relation.
Equivalence Between Mirror-Field-Atom And Ion-Laser Interactions, R. Ju?Rez-Amaro, A. Z??Iga-Segundo, F. Soto-Eguibar, H.M. Moya-Cessa
Equivalence Between Mirror-Field-Atom And Ion-Laser Interactions, R. Ju?Rez-Amaro, A. Z??Iga-Segundo, F. Soto-Eguibar, H.M. Moya-Cessa
Applied Mathematics & Information Sciences
We show that the interaction between a movable mirror with a quantized field that interacts with a two-level atom may be simplified via a transformation that involves Susskind-Glogower operators (SGO). By using this transformation it is easy to show that we can cast the Hamiltonian, after a unitary transformation, into a Hamiltonian that is equivalent to the ion-laser Hamiltonian. We would like to stress that the transformation in terms of SGO already simplifies enough the Hamiltonian in the sense that, in an exact way, it “eliminates” one of the three-subsystems, namely the quantized field.
Optimization Of Transverse Load Factor Of Helical And Spur Gears Using Genetic Algorithm, Marija Milojevi´C
Optimization Of Transverse Load Factor Of Helical And Spur Gears Using Genetic Algorithm, Marija Milojevi´C
Applied Mathematics & Information Sciences
In this paper work, it was discussed the model of meshing gears such that the transverse load factor does not change over time and along the line of contact in order to determine if there is some deviations from the assumed and to determine the extent of their changes. During the optimization all factors which determine transverse load factor, according to [1], [2], [3], [4], [5] and [6] were considered as relevant and as such varied using the genetic algorithm optimization process. Only the factors of the basic rack were pre-approved from [5] and as such are considered to be …
Singular Solitons And Bifurcation Analysis Of Quadratic Nonlinear Klein-Gordon Equation, Ming Song, Zhengrong Liu, Essaid Zerrad, Anjan Biswas
Singular Solitons And Bifurcation Analysis Of Quadratic Nonlinear Klein-Gordon Equation, Ming Song, Zhengrong Liu, Essaid Zerrad, Anjan Biswas
Applied Mathematics & Information Sciences
This paper studies the Klein-Gordon equation with quadratic nonlinearity. The ansatz approach is used to first obtain the singular soliton solution of the equation along with the corresponding domain restriction. The bifurcation analysis is also carried out. By this analysis, a few more traveling wave solutions are retrieved. The bifurcation phase portraits are also given.
The Taylor Matrix Method For Approximate Solution Of Lane-Emden Equation With Index-N, Coskun Guler, Ibrahim Emiroglu, Fatih Tasci, Mustafa Sivri
The Taylor Matrix Method For Approximate Solution Of Lane-Emden Equation With Index-N, Coskun Guler, Ibrahim Emiroglu, Fatih Tasci, Mustafa Sivri
Applied Mathematics & Information Sciences
Many problems in mathematical physics can be formulated as an equation of Lane-Emden type. There are many methods for the solution of this equation. One of these methods is the Taylor matrix method. The only types of nonlinear equations that this method has been applied so far are the Riccati and Abel equations. In this study, an algorithm based on the Taylor matrix method is proposed and applied to the nonlinear Lane-Emden equation with index-n. An example is also given.
Direct Solution Of The 7 Parameters Transformation Problem, Amir Hashemi, Mahzad Kalantari, Michel Kasser
Direct Solution Of The 7 Parameters Transformation Problem, Amir Hashemi, Mahzad Kalantari, Michel Kasser
Applied Mathematics & Information Sciences
In this paper, we propose a new algorithm to solve the 7 parameters transformation problem. Using Gr¨obner bases techniques and solving polynomial systems, we find, in a direct manner and without the need of a linearization, the values of the translation, rotation and a scale factor. Then, with the aid of simulated data, we will confront the algorithm to all sorts of configurations. Finally, we show the application of this algorithm in photogrammetry.
Perfect Snapping: An Accurate And Efficient Interactive Image Segmentation Algorithm, Qingsong Zhu, Guanzheng Liu, Zhanyong Mei, Qi Li, Yaoqin Xie, Lei Wang
Perfect Snapping: An Accurate And Efficient Interactive Image Segmentation Algorithm, Qingsong Zhu, Guanzheng Liu, Zhanyong Mei, Qi Li, Yaoqin Xie, Lei Wang
Applied Mathematics & Information Sciences
Interactive image segmentation is a process that extracts a foreground object from an image based on limited user input. In this paper, we propose a novel interactive image segmentation algorithm named Perfect Snapping which is inspired by the presented method named Lazy Snapping technique. In the algorithm, the mean shift algorithm with a boundary confidence prior is introduced to efficiently pre-segment the original image into homogeneous regions (super-pixels) with precise boundary. Secondly, GaussianMixture Model (GMM) clustering algorithm is used to describe and to model the super-pixels. Finally, a Monte Carlo based Expectation Maximization (EM) algorithm is used to perform parametric …
Observation, Characterization And Modeling Of Memristor Current Spikes, Ella Gale, Ben De Lacy Costello, Andrew Adamatzky
Observation, Characterization And Modeling Of Memristor Current Spikes, Ella Gale, Ben De Lacy Costello, Andrew Adamatzky
Applied Mathematics & Information Sciences
Memristors have been compared to neurons (usually specifically the synapses) since 1976 but no experimental evidence has been offered for support for this position. Here we highlight that memristors naturally form fast-response, highly reproducible and repeatable current spikes which can be used in voltage-driven neuromorphic architecture. Ease of fitting current spikes with memristor theories both suggests that the spikes are part of the memristive effect and provides modeling capability for the design of neuromorphic circuits.
Absolute Tauberian Constants For H-J Hausdorff Matrices, F. Aydin Akgun, B. E. Rhoades
Absolute Tauberian Constants For H-J Hausdorff Matrices, F. Aydin Akgun, B. E. Rhoades
Applied Mathematics & Information Sciences
We obtain absolute Tauberian constants for the H-J generalized Hausdorff transformations. As corollaries we obtain the analogous results for the E-J generalized Hausdorff matrices, and the results of Sherif for regular Hausdorff matrices.
Chaos Synchronization Of Complex R?Ssler System, Ahmed A. M. Farghaly
Chaos Synchronization Of Complex R?Ssler System, Ahmed A. M. Farghaly
Applied Mathematics & Information Sciences
This paper presents chaos synchronization between two identical chaotic systems via nonlinear control technique. The used system is complex R?ssler system. The maximal Lyapunov exponent and the sensitivity on initial conditions are calculated of such system and they emphasis its chaotic behavior. The nonlinear control method has been applied successfully to synchronize the proposed system. Based on Lyaponov function the control input vectors are selected and activated to achieve synchronization. Finally, the numerical simulation are used to show the robustness and effectiveness of proposed method.
Semilinear Hyperbolic Boundary Value Problem For Linear Elasticity Equations, Rahmoune Abita, Benabderrahmane Benyattou
Semilinear Hyperbolic Boundary Value Problem For Linear Elasticity Equations, Rahmoune Abita, Benabderrahmane Benyattou
Applied Mathematics & Information Sciences
Consider a semilinear hyperbolic boundary value problem associated to the linear elastic equations. Then, existence of a weak solution is established through compactness method. The uniqueness and the regularity of the solution have been gotten by eliminating some hypotheses that have been imposed by other authors for different particular problems.
Lag Synchronization Of Hyperchaotic Complex Nonlinear Systems Via Passive Control, Emad E. Mahmoud
Lag Synchronization Of Hyperchaotic Complex Nonlinear Systems Via Passive Control, Emad E. Mahmoud
Applied Mathematics & Information Sciences
In this paper we study and investigate the Lag synchronization (LS) of hyperchaotic complex nonlinear systems by using passive control theory. LS of these hyperchaotic complex systems via passive control has not received enough attentions, as far as we know, in the literature. Based on the property of the passive system the passive controller is stated to achieve LS of two identical hyperchaotic complex Lorenz systems. These complex systems appear in many important fields of physics and engineering. The analytical results of the controllers, which have been calculated by using our scheme, are tested numerically and good agreement is obtained.
A Characterization Of The Class Of Statistically Pre-Cauchy Double Sequences Of Fuzzy Numbers, Hemen Dutta
A Characterization Of The Class Of Statistically Pre-Cauchy Double Sequences Of Fuzzy Numbers, Hemen Dutta
Applied Mathematics & Information Sciences
In this article, we introduce the notion of statistically pre-Cauchy double sequence of fuzzy numbers. Then we present a characterization of the class of bounded statistically pre-Cauchy double sequences of fuzzy numbers with the help of Orlicz function. Further, we present a characterization of the class of bounded statistically convergent double sequences of fuzzy numbers and linked with Ces`aro summability.
Series Solutions Of Magnetohydrodynamic Peristaltic Flow Of A Jeffrey Fluid In Eccentric Cylinders, R. Ellahi, A. Riaz, S. Nadeem, M. Mushtaq
Series Solutions Of Magnetohydrodynamic Peristaltic Flow Of A Jeffrey Fluid In Eccentric Cylinders, R. Ellahi, A. Riaz, S. Nadeem, M. Mushtaq
Applied Mathematics & Information Sciences
In this article, the mathematical modelling on magnetohydrodynamic peristaltic flow of Jeffrey fluid in the gap between two eccentric tubes has been discussed in the presence of applied magnetic field. Geometrically, we considered two eccentric tubes in which the inner tube is rigid while the tube at the outer side has a sinusoidal wave propagating along the wall. The governing equations for Jeffrey fluid in a cylindrical coordinates for three dimensional flow are given. The approximations of low Reynolds number and long wavelength have been employed to reduce the highly nonlinear partial differential equations. The problem has been solved with …
A Comparative Study On The Algorithms For A Generalized Josephus Problem, Lei Wang, Xiaodong Wang
A Comparative Study On The Algorithms For A Generalized Josephus Problem, Lei Wang, Xiaodong Wang
Applied Mathematics & Information Sciences
The classic Josephus problem can be described as follows: There are n objects, consecutively numbered from 1 through n, arranged in a circle. We are given a positive integer k. Beginning with a designated first object, we proceed around the circle, removing every kth object. After each object is removed, counting continues around the circle that remains. This process continues until all n objects have been removed. In a generalized Josephus problem, a number of lives l is introduced for the problem. Each object has l lives. The object is removed only when it has been selected l times. In …
Applying Residual Control Charts To Identify The False Alarms In A Tft-Lcd Manufacturing Process, Yuehjen E. Shao, Yini Lin
Applying Residual Control Charts To Identify The False Alarms In A Tft-Lcd Manufacturing Process, Yuehjen E. Shao, Yini Lin
Applied Mathematics & Information Sciences
Statistical Process Control (SPC) is widely applied to monitor and improve highly integrated and automated manufacturing processes. Adopting proper SPC charts and corresponding detection mechanisms is crucial for a TFT-LCD manufacturing process. This study conducts an empirical study of highly complex TFT-LCD manufacturing processes to identify the most suitable SPC method. The TFT-LCD manufacturing process is generally divided into three main procedures, namely Array Engineering to create the TFT array, Cell Engineering to join the TFT array, liquid crystal and color filter together, and Module Engineering to integrate PCB and semiconductor chips into final products. The crucial step in Cell …
A Fuzzy Collaborative Forecasting Approach For Wip Level Estimation In A Wafer Fabrication Factory, Toly Chen Et Al
A Fuzzy Collaborative Forecasting Approach For Wip Level Estimation In A Wafer Fabrication Factory, Toly Chen Et Al
Applied Mathematics & Information Sciences
Forecasting the work-in-process (WIP) level is very important for the control of factory. However, the uncertainty in the WIP level is not easy to deal with. To solve this problem, a fuzzy collaborative forecasting approach is proposed. And also we show the effectiveness of the proposed methodology with a case study.
Enhanced Rule Induction Algorithm For Customer Relationship Management, Prabha Dhandayudam, Ilango Krishnamurthi
Enhanced Rule Induction Algorithm For Customer Relationship Management, Prabha Dhandayudam, Ilango Krishnamurthi
Applied Mathematics & Information Sciences
Customer Relationship Management (CRM) helps businesses to gain insight into the behavior of customers and their value so that the company can increase their profit by acting according to the customer characteristics. In order to analyze the customer needs and behavior, data mining is used to extract information from the customer database. For analyzing the customer behavior, the important attributes in the customer database are first chosen and then they are segmented into groups using clustering algorithm based on those attribute values. The rules are then generated to describe the customers in each group using LEM2 (Learning from Examples Module, …