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Approximation Of Hamiltonian Systems Using An Alternative Variational Technique, Sergio Amat, M. José Legaz, Pablo Pedregal
Approximation Of Hamiltonian Systems Using An Alternative Variational Technique, Sergio Amat, M. José Legaz, Pablo Pedregal
Applied Mathematics & Information Sciences
Hamiltonian systems are related to numerous areas of mathematics and have a lot of application branches, such as classical and quantum mechanics, statistics, optical, astronomy, molecular dynamic, plasma physics, etc. In general, the integration of these systems requires the use of geometric integrators. In this paper, we introduce a new variational approach for models which are formulated naturally as conservative systems of ODEs, most importantly Hamiltonian systems. Our variational method for Hamiltonian systems, which is proposed here, is in some sense symplectic and energy preserving. In addition to introducing the technique, we briefly indicate its most basic properties, and test …
Homomorphism To R Of Semidirect Products: A Dynamical Construction, Gast?O Bettencourt, Sérgio Mendes
Homomorphism To R Of Semidirect Products: A Dynamical Construction, Gast?O Bettencourt, Sérgio Mendes
Applied Mathematics & Information Sciences
We define a modified version of Erschler and Karlsson construction of homomorphisms from random walks [A. Erschler and A. Karlsson, Ann. Inst. Fourier (Grenoble) 60 (2010), no. 6, 2095−2113]. We show that our definition is well adapted to semidirect products. The same construction is conjectured to work also for other classes of maps like quasi-morphisms.
On The Periodic Structure Of The Planar Photogravitational Hill Problem, Elbaz I. Abouelmagd, M. S. Alhothuali, Juan L. G. Guirao, H. M. Malaikah
On The Periodic Structure Of The Planar Photogravitational Hill Problem, Elbaz I. Abouelmagd, M. S. Alhothuali, Juan L. G. Guirao, H. M. Malaikah
Applied Mathematics & Information Sciences
Using the averaging theory of dynamical systems we describe in an analytical way the periodic structure and the stability of periodic orbits for the planar photogravitational hill problem. Moreover, we present a proof of the C 1–non integrability for this problem.
Solving Two Emden–Fowler Type Equations Of Third Order By The Variational Iteration Method, Abdul-Majid Wazwaz
Solving Two Emden–Fowler Type Equations Of Third Order By The Variational Iteration Method, Abdul-Majid Wazwaz
Applied Mathematics & Information Sciences
In this paper, we establish two kinds of Emden–Fowler type equations of third order. We investigate the linear and the nonlinear third-order equations, with specified initial conditions, by using the systematic variational iteration method. We corroborate this study by investigating several Emden–Fowler type examples with initial value conditions.
Analytical Solution Of Population Balance Equation Involving Growth, Nucleation And Aggregation In Terms Of Auxiliary Equation Method, Zehra Pınar, Abhishek Dutta, Guido Bény, Turgut ?Zis
Analytical Solution Of Population Balance Equation Involving Growth, Nucleation And Aggregation In Terms Of Auxiliary Equation Method, Zehra Pınar, Abhishek Dutta, Guido Bény, Turgut ?Zis
Applied Mathematics & Information Sciences
The Auxiliary Equation Method (AEM) has been modified to obtain the solutions of a Population Balance Equation (PBE) involving particulate growth, nucleation and aggregation phenomena. In all the cases examined, the volume density distributions are accurately predicted by the travelling wave solutions of the complementary equation of the nonlinear partial integro-differential equation with distinctly chosen parameters. Being a flexible technique and a direct comparison for the existing analytical solutions, this study proves the potential of the proposed methodology.
Onset Of Hyperbolic Macroscopic Behavior In Complex Systems Subjected To External Agents, Carlo Bianca, Christian Dogbe, Annie Lemarchand
Onset Of Hyperbolic Macroscopic Behavior In Complex Systems Subjected To External Agents, Carlo Bianca, Christian Dogbe, Annie Lemarchand
Applied Mathematics & Information Sciences
This paper deals with the derivation of hyperbolic equations from a space inhomogeneous thermostatted kinetic equation which can be proposed for the modeling of complex systems subjected to the external actions at the microscopic and macroscopic scales. The particles of the system are able to perform an activity which is modeled by introducing a specific variable. The derivation of the hyperbolic equations is obtained by performing different scalings into the time and space variables and letting the scaling parameter goes to zero. Applications and future research direction are discussed into the last section of the paper.
Optimal Control Of A Bioeconomic Model For A Two-Stage Species With Recruitment, Lilia M. Ladino, Edison I. Sabogal, Jose C. Valverde
Optimal Control Of A Bioeconomic Model For A Two-Stage Species With Recruitment, Lilia M. Ladino, Edison I. Sabogal, Jose C. Valverde
Applied Mathematics & Information Sciences
In this work, the capture effort exerted on the adult population (or exploitable population) of a two-stage species with recruitment is considered as a control parameter to investigate the optimal exploitation of the resource, sustainability properties of the population and rent earned from the resource. Pontryagin’s maximum principle is used to characterize the optimal control. The optimal control is derived and then solved numerically using an iterative method with Euler scheme. Simulation results show that the optimal control scheme allows us to get the sustainability of the ecosystem and to validate the model.
A Two-Warehouse Inventory Model With Quantity Discounts And Maintenance Actions Under Imperfect Production Processes, Tien-Yu Lin, H. M. Srivastava
A Two-Warehouse Inventory Model With Quantity Discounts And Maintenance Actions Under Imperfect Production Processes, Tien-Yu Lin, H. M. Srivastava
Applied Mathematics & Information Sciences
Many earlier studies dealing with the two-warehouse inventory model assumed that the direct cost of the product was irrelevant and that production processes are perfect and stationary. However, in the real world, the purchase cost is some function of the quantity purchased and the production processes may deteriorate and thus defective items will occur. This paper, therefore, aims at developing a new inventory model under an imperfect production process. Three considerations are included in this new model: (1) The supplier may offer quantity discounts to stimulate the retailer into ordering greater lot sizes; (2) The maintenance actions are employed to …
New Modification Of Laplace Decomposition Method For Seventh Order Kdv Equation, B. S. Kashkari, H. O. Bakodah
New Modification Of Laplace Decomposition Method For Seventh Order Kdv Equation, B. S. Kashkari, H. O. Bakodah
Applied Mathematics & Information Sciences
In this paper, we develop a new modification of Laplace decomposition method for solving the seventh order KdV equations. The numerical results show that the method converges rapidly and compared with the Adomian decomposition method. The conservation properties of solution are examined by calculating the first three invariants.
Robust And Reliable Modulation Classification For Mimo Systems, Mohammad Rida Bahloul, Mohd Zuki Yusoff, M. Naufal M. Saad
Robust And Reliable Modulation Classification For Mimo Systems, Mohammad Rida Bahloul, Mohd Zuki Yusoff, M. Naufal M. Saad
Applied Mathematics & Information Sciences
This paper develops a feature-based Automatic Modulation Classification (AMC) algorithm for spatially multiplexed Multiple-Input Multiple-Output (MIMO) systems. The proposed algorithm employs two Higher Order Cumulants (HOCs) of the estimated transmit signal streams as discriminating features, and a multiclass Support VectorMachine (SVM) as a classification system. A multi-classifier classification system is introduced to improve the robustness of the decision made by the classifier at each estimated transmit signal stream. Furthermore, an optimal decision fusion scheme using aMaximum-Likelihood (ML) criterion is also introduced to improve the accuracy and reliability of the final classification decision made in the fusion center. The proposed algorithm …
Two And Three Dimensional Partition Of Unity Interpolation By Product-Type Functions, Roberto Cavoretto
Two And Three Dimensional Partition Of Unity Interpolation By Product-Type Functions, Roberto Cavoretto
Applied Mathematics & Information Sciences
In this paper we analyze the behavior of product-type radial basis functions (RBFs) and splines, which are used in a partition of unity interpolation scheme as local approximants. In particular, we deal with the case of bivariate and trivariate interpolation on a relatively large number of scattered data points. Thus, we propose the local use of compactly supported RBF and spline interpolants, which take advantage of being expressible in the multivariate setting as a product of univariate functions. Numerical experiments show good accuracy and stability of the partition of unity method combined with these product-type interpolants, comparing it with the …
Fundamental Products And Autonomous Sets: An Algorithmic Approach, Eugenio M. Fedriani, ?Ngel F. Tenorio
Fundamental Products And Autonomous Sets: An Algorithmic Approach, Eugenio M. Fedriani, ?Ngel F. Tenorio
Applied Mathematics & Information Sciences
The main goal of this paper is to analyze an economy through its symmetric input-output table by using Graph Theory. After providing a definition of the characteristic digraph for the economy, the authors give some properties and algorithms to characterize and compute the fundamental products and, later, the autonomous sets of the studied economy. Six of these algorithms are explained in detail and formulated; the best choices are also implemented with the computational package Mathematica, compared in terms of efficiency, and applied to real input-output matrices from Greece.
Using Sequential Quadratic Programming For System Identification, Ana S. R. Br?Sio, Andrey Romanenko, Natércia C. P. Fernandes
Using Sequential Quadratic Programming For System Identification, Ana S. R. Br?Sio, Andrey Romanenko, Natércia C. P. Fernandes
Applied Mathematics & Information Sciences
System identification plays an important role in the development of process simulators and controllers. The ability to determine correctly the model parameters directly affects the model quality and, therefore, the model based controller performance. This work details the development of a system identification approach and its computational implementation based on sequential quadratic programming (SQP) in which first and second order linear systems, represented in state-space, are identified from simulated and from real industrial process data. Both single-input single-output and multivariable processes are considered. The resulting optimization problem may become not trivial to solve as one of the examples illustrates. It …
On Pseudo-Random Number Generators Using Elliptic Curves And Chaotic Systems, Omar Reyad, Zbigniew Kotulski
On Pseudo-Random Number Generators Using Elliptic Curves And Chaotic Systems, Omar Reyad, Zbigniew Kotulski
Applied Mathematics & Information Sciences
Elliptic Curve Cryptography (ECC) is a relatively recent branch of cryptography which is based on the arithmetic on elliptic curves and security of the hardness of the Elliptic Curve Discrete Logarithm Problem (ECDLP). Elliptic curve cryptographic schemes are public-key mechanisms that provide encryption, digital signature and key exchange capabilities. Elliptic curve algorithms are also applied to generation of sequences of pseudo-random numbers. Another recent branch of cryptography is chaotic dynamical systems where security is based on high sensitivity of iterations of maps to initial conditions and parameters. In the present work, we give a short survey describing state-of-the-art of several …
A Refinement Of Grüss Inequality Via Cauchy-Schwarz’S Inequality For Discrete Random Variables, Nicuşor Minculete, Augusta Rațiu, Josip Pečarić
A Refinement Of Grüss Inequality Via Cauchy-Schwarz’S Inequality For Discrete Random Variables, Nicuşor Minculete, Augusta Rațiu, Josip Pečarić
Applied Mathematics & Information Sciences
If X and Y are discrete random variables in finite case, then using the inequality of Cauchy-Schwarz, we will obtain another inequality expressed by the variance and covariance. The aim of this paper is to obtain a new refinement of discrete version of Gr¨uss inequality. In the final we show that we can structure the set of random variables with equal probabilities as a Hilbert space and as a seminormed vector space.
The Minimal Dependency Relation For Causal Event Ordering In Distributed Computing, S. E. Pomares Hernandez
The Minimal Dependency Relation For Causal Event Ordering In Distributed Computing, S. E. Pomares Hernandez
Applied Mathematics & Information Sciences
Several algorithms of different domains in distributed systems are designed over the principle of the Happened-Before Relation (HBR). One common aspect among them is that they intend to be efficient in their implementation by identifying and ensuring the necessary and sufficient dependency constraints. In this pursuit, some previous works talk about the use of a transitive reduction of the causality. However, none of these works formally prove in a broad manner that such transitive reduction is the minimal expression of the HBR. In this paper, a formal study of the minimal binary relation (transitive reduction) of the HBR is presented, …
Development Of A New Control Algorithm For Automatic Irrigation Scheduling In Soilless Culture, Daniel Rodr?Guez, Juan Reca, Juan Mart?Nez, Rafael L?Pez-Luque, Miguel Urrestarazu
Development Of A New Control Algorithm For Automatic Irrigation Scheduling In Soilless Culture, Daniel Rodr?Guez, Juan Reca, Juan Mart?Nez, Rafael L?Pez-Luque, Miguel Urrestarazu
Applied Mathematics & Information Sciences
In soilless culture, water and nutrients must be frequently and precisely applied due to the reduced volume and low water holding capacity of the substrate. For this reason, irrigation scheduling is an important and difficult task. The use of an irrigation control tray with two electrodes (level sensor) is a simple way for controlling irrigation. Irrigation operation is triggered when the water level in the tray decreases below a preset level. This is a simple on-off control but inflexible because it requires periodic manually calibrations. This work aims at developing a more efficient control system for the irrigation management of …
R-Sets And Metric Dimension Of Necklace Graphs, Ioan Tomescu, Muhammad Imran
R-Sets And Metric Dimension Of Necklace Graphs, Ioan Tomescu, Muhammad Imran
Applied Mathematics & Information Sciences
The R-set relative to a pair of distinct vertices of a connected graph G is the set of vertices whose distances to these vertices are distinct. In this paper R-sets are used to show that metric dimension dim(Nen) = 3 when n is odd and 2 otherwise, where Nen is the necklace graph of order 2n+2. It is also shown that the exchange property of the bases in a vector space does not hold for minimal resolving sets of Nen if n is even.
Numerical Computation Of Travelling Wave Solutions For The Nonlinear Ito System, Ali H Bhrawy, Robert A. Van Gorder
Numerical Computation Of Travelling Wave Solutions For The Nonlinear Ito System, Ali H Bhrawy, Robert A. Van Gorder
Applied Mathematics & Information Sciences
The Ito equation (a coupled nonlinear wave equation which generalizes the KdV equation) has previously been shown to admit a reduction to a single nonlinear Casimir equation governing the wave solutions. Some analytical properties of the solutions to this equation in certain parameter regimes have been studied recently. However, for general parameter regimes where the analytical approach is not so useful, a numerical method would be desirable. Therefore, in this paper, we proceed to show that the Casimir equation for the Ito system can be solved numerically by use of the shifted Jacobi-Gauss collocation (SJC) spectral method. First, we present …
Generators Of Certain Function Banach Algebras And Related Questions, Mehmet Gurdal, Suna Saltan, Ulaş Yamancı
Generators Of Certain Function Banach Algebras And Related Questions, Mehmet Gurdal, Suna Saltan, Ulaş Yamancı
Applied Mathematics & Information Sciences
We study the structure of generators of the Banach algebras , We also give some description of cyclic vectors of usual convolution operators acting in the Sobolev space
Generalizations Of Derivations In Bci-Algebras, G. Muhiuddin, Abdullah M. Al-Roqi
Generalizations Of Derivations In Bci-Algebras, G. Muhiuddin, Abdullah M. Al-Roqi
Applied Mathematics & Information Sciences
In the present paper we introduced the notion of (q ,f )-derivations of a BCI-algebra X. Some interesting results on inside (or outside) (q ,f )-derivations in BCI-algebras are discussed. It is shown that for any commutative BCI-algebra X, every inside (q ,f )- derivation of X is isotone. Furthermore it is also proved that for any outside (q ,f )-derivation d(q ,f ) of a BCI-algebra X, d(q ,f )(x) = q (x)∧d(q ,f )(x) if and only if d(q ,f )(0) = 0 for all x ∈ X.
Soft Fuzzy Syntopogenous Spaces, O. A. Tantawy, F. M. Sleim
Soft Fuzzy Syntopogenous Spaces, O. A. Tantawy, F. M. Sleim
Applied Mathematics & Information Sciences
In this paper , we introduce the conceptes of semi-topogenous ( resp. topogenous )soft fuzzy order and the syntopogenous soft fuzzy structure and study many of their properties and show that there is a one-one corresponds between perfect topogenous soft fuzzy structures and soft fuzzy topological structures
A Classification Of Cyclic Nodes And Enumeration Of Components Of A Class Of Discrete Graphs, M. Khalid Mahmood, Farooq Ahmad
A Classification Of Cyclic Nodes And Enumeration Of Components Of A Class Of Discrete Graphs, M. Khalid Mahmood, Farooq Ahmad
Applied Mathematics & Information Sciences
Let Zn be the ring of residue classes modulo n. Define f : Zn 7→ Zn by f (x) = x4. Action of this map is studied by means of digraphs which produce an edge from the residue classes a to b if f (a) ≡ b. For every integer n, an explicit formula is given for the number of fixed points of f . It is shown that the graph G(pk), k ≥ 1 has four fixed points if and only if 3 | p−1 and has two fixed points if and only if 3 ∤ p−1. A classification …
Ortogonal Approach For Haptic Rendering Algorithm Based In Conformal Geometric Algebra, Gabriel Sep?Lveda-Cervantes, Edgar A. Portilla-Flores
Ortogonal Approach For Haptic Rendering Algorithm Based In Conformal Geometric Algebra, Gabriel Sep?Lveda-Cervantes, Edgar A. Portilla-Flores
Applied Mathematics & Information Sciences
This work presents a novel method for haptic rendering contact force and surface properties for virtual objects using the Conformal Geometric Algebra orthogonal decomposition approach. The mathematical representation of geometric primitives along with collision algorithms based on its mathematical properties is presented. The orthogonal decomposition of contact and interaction forces is achieved using the same framework and dynamic properties in both subspaces are rendered simultaneously. Comparing with vector calculus, the Conformal Geometric Algebra (CGA) approach provides an easier and more intuitive way to deal with haptic rendering problems due to its inner properties and a simpler representation of geometric objects …
Progressive Type-Ii Censoring Ailamujia Distribution Under Binomial Removals With Data Analysis, Mahmoud M. Smadi
Progressive Type-Ii Censoring Ailamujia Distribution Under Binomial Removals With Data Analysis, Mahmoud M. Smadi
Applied Mathematics & Information Sciences
Ailamujia distribution is a useful lifetime model for several engineering applications. The Ailamujia distribution is a versatile distribution to model the repair time and guarantee the distribution delay time. This study considers the estimation problem for Ailamujia distribution based on progressive Type-II censoring with Binomial removals. The maximum likelihood estimators (MLE’s) for the model parameters were derived along with the asymptotic confidence intervals. A simulation study was performed using different values of sample sizes, parameters, and different number of removed observations to investigate the behavior of the estimators. A real life time data set was analyzed using progressive Type-II Ailamujia …
A Novel Construction Of Mutually Orthogonal Three Disjoint Union Of Certain Trees Squares, R. El-Shanawany, S. Nada, A. Elrokh, E. Sallam
A Novel Construction Of Mutually Orthogonal Three Disjoint Union Of Certain Trees Squares, R. El-Shanawany, S. Nada, A. Elrokh, E. Sallam
Applied Mathematics & Information Sciences
A family of decompositions {G0,G1,...,Gk−1} of a complete bipartite graph Kn,n is a set of k mutually orthogonal graph squares(MOGS)ifGi andGj areorthogonalforalli,j∈{0,1,...,k−1}andi̸= j.ForanysubgraphGofKn,n withnedges,N(n,G) denotes the maximum number k in a largest possible set {G0,G1,...,Gk−1} of MOGS of Kn,n by G. In this paper we compute some new extensions of the well-known N(n,G) ≥ 3, using a novel approach, where G represents disjoint unions of certain small trees subgraphs of Kn,n.
The S- Generalized Composition Operators From B(M,N) → Q Spaces Gp, A. Kamal, S. A. Abd-Elhafeez, M. Hamza Eissa
The S- Generalized Composition Operators From B(M,N) → Q Spaces Gp, A. Kamal, S. A. Abd-Elhafeez, M. Hamza Eissa
Applied Mathematics & Information Sciences
In this paper we introduce a new weighted composition operator, called s- generalized composition operator. The boundedness and compactness of the s- generalized composition operator from B(m,n) → Q Spaces are investigated in this paper.
Study Of Extended Hermite-Appell Polynomial Via Fractional Operators, Anjali Goswami, Mohammad Faisal Khan, Mohammad Shadab
Study Of Extended Hermite-Appell Polynomial Via Fractional Operators, Anjali Goswami, Mohammad Faisal Khan, Mohammad Shadab
Applied Mathematics & Information Sciences
The motive of this research paper is to establish the generalized Hermite and generalized Hermite-Appell polynomials by combining the operational definitions and integral representations. The explicit summation formulae, determinant and recurrence relations for the generalized Hermite-Appell polynomials are derived by applying the integral transforms and appropriate operational rules. For the application purpose, we present the corresponding results for the generalized Hermite-Bernoulli, generalized Hermite- Euler, and Hermite-Genocchi polynomials.
Dynamic Study Of A Delayed Fractional-Order Seir Epidemic Model With General Incidence And Treatment Functions, Asma Althemairi, Fatma Hussien, Ahmed A. Farghaly
Dynamic Study Of A Delayed Fractional-Order Seir Epidemic Model With General Incidence And Treatment Functions, Asma Althemairi, Fatma Hussien, Ahmed A. Farghaly
Applied Mathematics & Information Sciences
This study examines the global features of the SEIR epidemic model in its fractional-order version with time delay. General functions are considered to govern the infection transmission rate, and the rate at which diseased individuals are removed from the infected class. First, we form the proposed model in the Caputo case and perform fundamental mathematical analysis of the model solutions, such as checking for non-negativity and boundedness. The basic reproduction number R0 is then provided after computing the equilibrium points. Following that, sufficient criteria for the global stability of each equilibrium are checked using the relevant Lyapunov functions. It is …
Quitru: Design Secure Variant Of Ntruencrypt Via A New Multi-Dimensional Algebra, Hassan Rashed Yassein, Hany Nasry Zaky, Hadeel Hadi Abo-Alsoo, Ismail A Mageed, Wageda I. El-Sobky
Quitru: Design Secure Variant Of Ntruencrypt Via A New Multi-Dimensional Algebra, Hassan Rashed Yassein, Hany Nasry Zaky, Hadeel Hadi Abo-Alsoo, Ismail A Mageed, Wageda I. El-Sobky
Applied Mathematics & Information Sciences
The NTRU public-key cryptosystem is based on time complexity and efficient computations. Many researchers were stimulated to improve NTRU performance by changing mathematical structure with new algebraic structures and replacing the truncated polynomial ring, such as OTRU, QTRU. In this paper, we proposed QuiTRU as a new version of the NTRU. It’s a five-dimensional cryptosystem based on a new algebraic structure. As well, QuiTRU was compared with NTRU, QTRU, and OTRU. Keywords: