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Projective Lag Synchronization Of Chaotic Systems With Parameter Mismatch, Longkun Tang, Jun-An Lu
Projective Lag Synchronization Of Chaotic Systems With Parameter Mismatch, Longkun Tang, Jun-An Lu
Applied Mathematics & Information Sciences
This paper investigates projective synchronization with time delay and parameter mismatch for a lately proposed simple yet complex one-parameter chaotic system, and R¨ossler system as well.With an active control scheme, it is proved that the zero solution of the dynamical error system is globally asymptotically stable based on Barbalat’s lemma. Numerical simulations verify the correctness and effectiveness of the proposed method.
A Robust User Authentication Protocol With Anonymity, Deniability, Key Agreement And Efficiency, Chien-Lung Hsu, Yu-Hao Chuang
A Robust User Authentication Protocol With Anonymity, Deniability, Key Agreement And Efficiency, Chien-Lung Hsu, Yu-Hao Chuang
Applied Mathematics & Information Sciences
An authentication protocol allows on-line service providers to validate the identity or legitimacy of a logging user. Once passing the verification, an authorized user can obtain useful and valuable resource or services from the service provider through Internet conveniently. However, most the current authentication protocols cannot protect user’s privacy perfectly. To improve this deficiency, we proposed a robust and efficient authentication protocol attempting to preserve user’s privacy entirely and also provide the following properties: i) user anonymity, ii) deniability, iii) key agreement, and iv) efficiency. Moreover, our proposed protocol is non-interactive, which is achieved by reducing the number of message …
Image Object Extraction Based On Curvelet Transform, U. Sayed, M. A. Mofaddel, W. M. Abd-Elhafiez, M. M. Abdel-Gawad
Image Object Extraction Based On Curvelet Transform, U. Sayed, M. A. Mofaddel, W. M. Abd-Elhafiez, M. M. Abdel-Gawad
Applied Mathematics & Information Sciences
Image-object extraction is one of the most important parts in the image processing. Object extraction is the technique of extracting objects from the pre-processed image in such a way that within – class similarity is maximized and between – class similarity is minimized. In this paper, a new method of extracting objects from grey scale static images using Fast Discrete Curvelet Transform (FDCT) via wrapping function is proposed. The motivation of using the curvelet transform in the proposed method is due to the approximate properties and the high directional sensitivity of this transform. An imaginary component of the curvelet coefficients …
Entropy Binomial Tree Model For Option Pricing, Li Yinghua, Li Xingsi
Entropy Binomial Tree Model For Option Pricing, Li Yinghua, Li Xingsi
Applied Mathematics & Information Sciences
We propose a new strategy to determine the parameters of the binomial tree model, which avoids the existing models’ drawback of yielding a negative probability distribution p and avoids the restrictive conditions imposed on these models, such as ud = 1. Specifically, by regarding the price states of the underlying asset (stock) in the binomial tree model at the end of the period t = n¢t as an information system, we establish an entropy optimization model based on the maximum-entropy principle, from which the probability density of the stock price distribution p, and consequently the up ratio, u, and down …
A New Particle Filter Based On Organizational Adjustment Particle Swarm Optimization, Zhimin Chen, Yuming Bo, Panlong Wu, Weijun Zhou
A New Particle Filter Based On Organizational Adjustment Particle Swarm Optimization, Zhimin Chen, Yuming Bo, Panlong Wu, Weijun Zhou
Applied Mathematics & Information Sciences
A dynamic organizational adjustment particle swarm optimization-based particle filter algorithm (OAPSO-PF) is presented in this paper in order to solve the problem of low precision and complicated calculation of particle filter based on particle swarm optimization algorithm(PSO-PF). Through the mutual competition and collaboration among organizations, this algorithm allows the particles to adapt to the environment better and thus reach the goal of global optimization, accordingly enhancing the quality of particles and avoiding particle degradation by the adoption of optimal particle retention. Finally different models are used for simulation experiment and the results indicate that this new algorithm improves the operation …
Estimation Of The Weibull Parameters By Kullback-Leibler Divergence Of Survival Functions, Gholamhossein Yari, Alireza Mirhabibi, Abolfazl Saghafi
Estimation Of The Weibull Parameters By Kullback-Leibler Divergence Of Survival Functions, Gholamhossein Yari, Alireza Mirhabibi, Abolfazl Saghafi
Applied Mathematics & Information Sciences
Recently, a new entropy based divergence measure has been introduced which is much like Kullback-Leibler divergence. This entropy measures the distance between an empirical and a prescribed survival function and is a lot easier to compute in continuous distributions than the K-L divergence. In this paper we show that this distance converges to zero with increasing sample size and we apply it to estimate Weibull parameters. Detailed simulations show a higher performance of the new estimation method than the commonly used maximum likelihood and linear regression methods in Weibull scale parameter estimation. Using unbiasing factors provided in this paper for …
Some Couette Flows Of A Maxwell Fluid With Wall Slip Condition, Dumtru Vieru, Azhar A. Zafar
Some Couette Flows Of A Maxwell Fluid With Wall Slip Condition, Dumtru Vieru, Azhar A. Zafar
Applied Mathematics & Information Sciences
Abstract: Couette flows of a Maxwell fluid produced by the motion of a flat plate are analyzed under the slip condition at boundaries. The bottom plate is assumed to be translated in its plane with a given velocity. The flow of the fluid is studied in the assumption that the relative velocity between the fluid at the wall and the wall is proportional to the shear rate at the wall. Exact expressions for velocity and shear stress are determined by means of a Laplace transform. The velocity fields corresponding to both slip and non slip conditions for Maxwell and Newtonian …
Auxiliary Principle Technique For Solving Split Feasibility Problems, Muhammad Aslam Noor, Khalida Inayat Noor
Auxiliary Principle Technique For Solving Split Feasibility Problems, Muhammad Aslam Noor, Khalida Inayat Noor
Applied Mathematics & Information Sciences
Let K and C be nonempty, closed and convex sets in Rn and Rm respectively and A be an m £ n real matrix. The split feasibility problem is to find u 2 K with Au 2 C: Many problems arising in the image reconstruction can be formulated in this form. In this paper, we use the auxiliary principle technique to suggest and analyze some new iterative algorithms for solving the split feasibility problems. Our new algorithms include the previously known ones as special cases. We also study the convergence criteria of these algorithms under some weaker conditions. In this …
Linearizing Stiff Delay Differential Equations, S. Amat, M.J. L´Egaz, P. Pedregal
Linearizing Stiff Delay Differential Equations, S. Amat, M.J. L´Egaz, P. Pedregal
Applied Mathematics & Information Sciences
This paper deals to the study and approximation of stiff delay differential equations based on an analysis of a certain error functional. In seeking to minimize the error by using standard descent schemes, the procedure can never get stuck in local minima, but will always and steadily decrease the error until getting to the solution sought. Starting with an initial approximation to the solution, we improve it, adding the solution of some associated linear problems, in such a way that the error is decreased. The performance is expected very good due to the fact that we can use very robust …
A New Approximate Analytical Solution Of Kuramoto – Sivashinsky Equation Using Homotopy Analysis Method, Muhammet Kurulay, Aydin Secer, Ali Akinlar
A New Approximate Analytical Solution Of Kuramoto – Sivashinsky Equation Using Homotopy Analysis Method, Muhammet Kurulay, Aydin Secer, Ali Akinlar
Applied Mathematics & Information Sciences
In this paper, Homotopy Analysis Method (HAM) is applied to obtain approximate analytical solution of modified Kuramoto–Sivashinsky (KS) equation. HAM provides a simple way to adjust and control the convergence region of the series solution by introducing several parameters, namely, the auxiliary parameter, h, the auxiliary function, H(x; t), the initial guess, u0(x; t) and the auxiliary linear operator, L; as stated in [1]. The obtained results show that HAM yields approximate analytical solutions which are quite close to the exact solution of KS equation, which proves the strength of HAM.
Formalization Of The Complex Number Theory In Hol4, Zhiping Shi, Liming Li, Yong Guan, Xiaoyu Song, Minhua Wu, Jie Zhang
Formalization Of The Complex Number Theory In Hol4, Zhiping Shi, Liming Li, Yong Guan, Xiaoyu Song, Minhua Wu, Jie Zhang
Applied Mathematics & Information Sciences
In this paper, the theory of complex numbers is formalized and the theorem library of complex numbers is embedded in HOL4, the theorem prover of High Order Logics. The theorem library introduces a data type C by an R £ R type abbreviation, and defines arithmetic operations of complex numbers in terms of group and field theories. Moreover, the polar and exponential forms are provided for simplifying the applications in control theory and signal analysis. We define the scalar multiplication of complex numbers and prove some properties about R-module of complex numbers. The theorem library extends the scope of application …
Soft Semi-Open Sets And Related Properties In Soft Topological Spaces, Bin Chen
Soft Semi-Open Sets And Related Properties In Soft Topological Spaces, Bin Chen
Applied Mathematics & Information Sciences
D. Molodtsov (1999) [1] introduced the concept of a soft set as a new approach for modeling uncertainties. Xiao et al. [7] and Pei and Miao [8] discussed the relationship between soft sets and information systems. They showed that soft sets are a class of special information systems. So it’s important to study the structures of soft sets for information systems. Shabir and Naz(2011) [20], studied the topological structures of soft sets. In this paper, we continue the study on soft topological spaces and investigate the properties of soft semi-open sets, semi-closed sets, soft semi-interior and soft semi-closure. Then discuss …
On Geometrical Properties Of Some Banach Spaces, Necip Şi̇mşek, Ekrem Savaş, Vatan Karakaya
On Geometrical Properties Of Some Banach Spaces, Necip Şi̇mşek, Ekrem Savaş, Vatan Karakaya
Applied Mathematics & Information Sciences
In this work, we prove that modular spaces Vρ(λ; p) defined in [26] have the k-nearly uniform convexity(k−NUC property) when they are endowed with the Luxemburg norm. We also prove that these spaces have the uniform Opial property with the Luxemburg norm. The above investigated geometric properties will enable us to obtain some fixed point results in modular spaces.
Conservation Laws For The Geodesic Equations Of The Canonical Connection On Lie Groups In Dimensions Two And Three, Ryad A. Ghanam, Ahmad Y. Al-Dweik
Conservation Laws For The Geodesic Equations Of The Canonical Connection On Lie Groups In Dimensions Two And Three, Ryad A. Ghanam, Ahmad Y. Al-Dweik
Applied Mathematics & Information Sciences
In order to characterize the systems of second-order ODEs which admit a regular Lagrangian function, Noether symmetries for the geodesic equations of the canonical linear connection on Lie groups of dimension three or less are obtained, so the characterization of these geodesic equations through their Noethers symmetries Lie Algebras is investigated. The corresponding conservation laws and the first integral for each geodesics are constructed.
A Note About Properties Of Exponential Divisors, Nicus¸Or Minculete
A Note About Properties Of Exponential Divisors, Nicus¸Or Minculete
Applied Mathematics & Information Sciences
The aim of this paper is to present some properties about the arithmetic functions which use exponential divisors.Among these properties we study the equation t (n) =t (e)(n)t ∗(n), we show that √n ≤ s (e)(n) t (e)(n) , for all n ≥ 1 and other inequalities related to these multiplicative arithmetic functions.
Incorporating Prediction Factor Into The Investigation Capability In The Social Force Model: Application On Avoiding Grouped Pedestrians, M. M. Shuaib, Osama Moh’D Alia, Zarita Zainuddin
Incorporating Prediction Factor Into The Investigation Capability In The Social Force Model: Application On Avoiding Grouped Pedestrians, M. M. Shuaib, Osama Moh’D Alia, Zarita Zainuddin
Applied Mathematics & Information Sciences
Incorporating decision making capability into a microscopic crowd dynamic model is an essential factor for introducing a well-representative model for the pedestrian flow. In normal situations, this capability was presented by providing the simulated independent pedestrians in the Social Force Model an investigation ability of their walkways. However, predicting semi-blocked situations by the simulated intelligent pedestrians has not been treated in their investigation. In this paper, the authors describe the investigation capability of independent pedestrians in normal situations. In addition, the prediction aspect is introduced for the simulated independent pedestrians as an extension for the investigation capability to let the …
Stability And Boundedness For A Kind Of Non-Autonomous Differential Equations With Constant Delay, Cemil Tunc
Stability And Boundedness For A Kind Of Non-Autonomous Differential Equations With Constant Delay, Cemil Tunc
Applied Mathematics & Information Sciences
We establish some new sufficient conditions to the uniform asymptotically stability and boundedness of the solutions for a kind of non-autonomous differential equations of third order with constant delay. By defining an appropriate Lyapunov functional, we prove two new theorems on the subject. Our results improve and form a complement to some known recent results in the literature.
Optimization Of Prediction Error In Co2 Laser Cutting Process By Taguchi Artificial Neural Network Hybrid With Genetic Algorithm, Y. Nukman, M. A. Hassan, M .Z. Harizam
Optimization Of Prediction Error In Co2 Laser Cutting Process By Taguchi Artificial Neural Network Hybrid With Genetic Algorithm, Y. Nukman, M. A. Hassan, M .Z. Harizam
Applied Mathematics & Information Sciences
Simulation and prediction of CO2 laser cutting of Perspex glass has been done by feed forward back propagation Artificial Neural Network (ANN). Experimental data of Taguchi orthogonal array L9 was used to train the ANN model. The simulation results were evaluated and verified with the experiment. In some cases, the prediction errors of Taguchi ANN model was larger than 10% even with Levenberg Marquardt training algorithm. To overcome such problem, a hybrid genetic algorithm-based Taguchi ANN (GA-Taguchi ANN) has been developed. The potential of genetic algorithm in optimization was utilized in the proposed hybrid model to minimize the error prediction …
A Hybrid Glowworm Swarm Optimization Algorithm For Constrained Engineering Design Problems, Yongquan Zhou, Guo Zhou, Junli Zhang
A Hybrid Glowworm Swarm Optimization Algorithm For Constrained Engineering Design Problems, Yongquan Zhou, Guo Zhou, Junli Zhang
Applied Mathematics & Information Sciences
In this paper, a novel hybrid glowworm swarm optimization (HGSO) algorithm is proposed. Firstly, the presented algorithm embeds predatory behavior of artificial fish swarm algorithm (AFSA) into glowworm swarm optimization (GSO) algorithm and combines the improved GSO with differential evolution (DE) on the basis of a two-population co-evolution mechanism. Secondly, under the guidance of the feasibility rules, the swarm converges towards the feasible region quickly. In addition, to overcome premature convergence, the local search strategy based on simulated annealing (SA) is used and makes the search near the true optimum solution gradually. Finally, the HGSO algorithm is for solving constrained …
Research On Network Traffic Identification Based On Improved Bp Neural Network, Shi Dong, Dingding Zhou, Wengang Zhou, Wei Ding, Jian Gong
Research On Network Traffic Identification Based On Improved Bp Neural Network, Shi Dong, Dingding Zhou, Wengang Zhou, Wei Ding, Jian Gong
Applied Mathematics & Information Sciences
Traffic identification is a key task for any Internet Service Providers (ISP) or network administrators. Neural network is an important research method on traffic classification, this paper introduces the important methods of traffic classification,through study on Principal Component Analysis(PCA) and BP neural network. An improved BP neural network to identify traffic is proposed and MOORE SET is used as dataset, meanwhile, building NOC SET dataset based on CERNET(China Education and Research Network).the experiment results show that the accuracy rate of traffic classification based on the improved BP neural network model is relatively high.Finally,this paper analyzes packet sampling impact on traffic …
Data Migration From Grid To Cloud Computing, Wei Chen, Kuo-Cheng Yin, Don-Lin Yang, Ming-Chuan Hung
Data Migration From Grid To Cloud Computing, Wei Chen, Kuo-Cheng Yin, Don-Lin Yang, Ming-Chuan Hung
Applied Mathematics & Information Sciences
The advance of information and communication technologies over the last decade has improved the quality of healthcare and medical services tremendously. Especially, the people living in the countryside or remote areas benefit the most from telemedicine and emergency services. Our Health Grid is one of the test beds which provide various health-related Web services associated with mobile devices and physiological data acquisition and analysis instruments. As the number of new applications being developed increases rapidly, the ever-growing volume of collected data and real-time demand of analysis result have driven the architectural migration from Grid to Cloud Computing much sooner than …
A Genetic Algorithm For Data Mule Path Planning In Wireless Sensor Networks, Yung-Liang Lai
A Genetic Algorithm For Data Mule Path Planning In Wireless Sensor Networks, Yung-Liang Lai
Applied Mathematics & Information Sciences
A data mule is a mobile device that can traverse a wireless sensor network field to move near stationary sensor nodes that are spatially dispersed for collecting data from them. Use of the data mule can significantly reduce energy consumption of sensor nodes compared to common multihop forwarding schemes. However, it also increases the latency of gathering data of all nodes. In this paper, under the assumptions that the data mule can sequentially move from a specific location to another specific location and that sensor nodes can adjust their radios to different power levels, we study the data mule path …
Exponentially Fitted Symplectic Runge-Kutta-Nystr ¨Om Methods, Th. Monovasilis, Z. Kalogiratou, T.E. Simos
Exponentially Fitted Symplectic Runge-Kutta-Nystr ¨Om Methods, Th. Monovasilis, Z. Kalogiratou, T.E. Simos
Applied Mathematics & Information Sciences
In this work we consider symplectic Runge Kutta Nystr¨om (SRKN) methods with three stages. We construct a fourth order SRKN with constant coefficients and a trigonometrically fitted SRKN method. We apply the new methods on the two-dimentional harmonic oscillator, the Stiefel-Bettis problem and on the computation of the eigenvalues of the Schr¨odinger equation.
Decoupled Third-Order Fuzzy Sliding Model Control For Cart-Inverted Pendulum System, Belal A.Elsayed, M. A. Hassan, Saad Mekhilef
Decoupled Third-Order Fuzzy Sliding Model Control For Cart-Inverted Pendulum System, Belal A.Elsayed, M. A. Hassan, Saad Mekhilef
Applied Mathematics & Information Sciences
Cart Inverted Pendulum (CIP) system is a benchmark problem in nonlinear automatic control. It is commonly used to verify the robustness of any proposed nonlinear controller. CIP is mostly represented by two second order differential equations to avoid complexity due to the DC motor dynamics. This representation is not practical for the real CIP dynamics and might lead to instability. Therefore in this paper, two third-order differential equations were derived to combine the pendulum system and DC motor dynamics to have a more realistic mathematical model. Friction between the cart and rail was included in the system equations through a …
Series Solutions For Nonlinear Partial Differential Equations With Slip Boundary Conditions For Non-Newtonian Mhd Fluid In Porous Space, A. Zeeshan, R. Ellahi
Series Solutions For Nonlinear Partial Differential Equations With Slip Boundary Conditions For Non-Newtonian Mhd Fluid In Porous Space, A. Zeeshan, R. Ellahi
Applied Mathematics & Information Sciences
The fully developed flow of an incompressible, thermodynamically compatible non-Newtonian magnetohydrodynamics (MHD) fluid in a pipe with porous space and partial slip is studied in this paper. Two illustrative models of viscosity namely (i) Constant model and (ii) Variable model are considered. Series solutions for nonlinear coupled partial differential equations are first developed and then convergence of the obtained series solutions has been discussed explicitly. The recurrence formulae for finding the coefficients are also given in each case. Finally the role of pertinent parameters is illustrated graphically.
Cryptanalysis Of An Id-Based Proxy Signature Scheme With Message Recovery, M. Tian, L. Huang, W. Yang
Cryptanalysis Of An Id-Based Proxy Signature Scheme With Message Recovery, M. Tian, L. Huang, W. Yang
Applied Mathematics & Information Sciences
ID-based message recovery signature is a kind of lightweight signature. In such a signature scheme, a complicated certification system is discarded and the total length of the message and the appended signature is also shortened. Proxy signature allows an original signer to delegate a proxy signer to sign messages on its behalf, which has found numerous practical applications such as grid computing and mobile agent systems. Recently, Singh and Verma proposed the first ID-based proxy signature scheme with message recovery. They proved that their scheme is secure in the random oracle model and believed that it can be used widely. …
Hyers-Ulam Stability Of Linear Operators In Frechet Spaces, P. Sam Johnson, S. Balaji
Hyers-Ulam Stability Of Linear Operators In Frechet Spaces, P. Sam Johnson, S. Balaji
Applied Mathematics & Information Sciences
Hyers-Ulam stability of a linear operator between Frechet spaces is defined. Necessary and sufficient conditions for the existence of Hyers-Ulam stability of a continuous linear operator from a Frechet space to another Frechet space are given.
Self-Tuning Information Fusion Kalman Filter For Multisensor Multi-Channel Arma Signals With Colored Measurement Noises And Its Convergence, Guili Tao, Zili Deng
Self-Tuning Information Fusion Kalman Filter For Multisensor Multi-Channel Arma Signals With Colored Measurement Noises And Its Convergence, Guili Tao, Zili Deng
Applied Mathematics & Information Sciences
For the multisensor multi-channel autoregressive moving average (ARMA) signals with white measurement noises and an ARMA colored measurement noise as a common disturbance noise, a multi-stage information fusion identification method is presented when model parameters and noise variances are partially unknown. The local estimators of model parameters and noise variances are obtained by the multi-dimensional recursive instrumental variable (MRIV) algorithm, correlation method, and the Gevers-Wouters algorithm, and the fused estimators are obtained by taking the average of the local estimators. They have the consistency. Substituting them into the optimal fusion Kalman filter weighted by scalars, a self-tuning fusion Kalman filter …
A Solution Proposal To The Interval Fractional Transportation Problem, Nuran Guzel, İbrahim Emiroglu, Fatih Taşci, Coşkun Guler, Mustafa Si̇vri̇
A Solution Proposal To The Interval Fractional Transportation Problem, Nuran Guzel, İbrahim Emiroglu, Fatih Taşci, Coşkun Guler, Mustafa Si̇vri̇
Applied Mathematics & Information Sciences
In real world applications, frequently may be faced up with the fractional transportation problem that these cost and preference parameters of the fractional objective may not be known in precise manner which are changed in the interval each other. In this study, fractional transportation problem with interval coefficient is transformed to a classical transportation problem by expanding the order 1st Taylor polynomial series with multi variables.
On Dispersion And Nonlinearity Degree Of Qpp Interleavers, Lucian Trifina, Daniela Tarniceriu, Valeriu Munteanu
On Dispersion And Nonlinearity Degree Of Qpp Interleavers, Lucian Trifina, Daniela Tarniceriu, Valeriu Munteanu
Applied Mathematics & Information Sciences
This paper shows a link between the dispersion and the nonlinearity degree of QPP (quadratic permutation polynomial) interleavers. An upper bound for the dispersion of QPP interleavers is derived. This upper bound is computed very simple, only depending on the coefficient of x2 of the polynomial and of the length of interleaver. The comparison with the real dispersion of QPP interleavers given by Takeshita in [1] leads to insignificant difference. Searching of QPP interleavers based on a metric including upper bound of dispersion and D parameter is equivalent with that based on metric.