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On the effect of random inhomogeneities in Kerr-media modelled by non-linear Schrodinger equation
Kerr-media modelled non-linear Schrodinger equation
2010/4/6
We consider propagation of optical pulses under the interplay of dispersion and Kerr non-linearity in optical fibres with impurities distributed at random uniformly on the fibre. By using a model base...
The Non-linear Dynamics of Sociological Reflections
Non-linear Dynamics Sociological Reflections
2010/4/2
Actors are embedded in networks of communication: the relations of the actors can be represented as the rows of a matrix, while the column vectors represent their communications. The two systems are s...
We discuss the complex dynamics of a non-linear random networks model, as a function of the connectivity k between the elements of the network. We show that this class of networks exhibit an order-cha...
On Lp-Approximation by a Linear Combination of a New Sequence of Linear Positive Operators
Linear positive operators Linear combination Integral modulus of smoothness Steklov means
2010/3/1
In the present paper, we study some direct results in Lp -approximation by a linear combination of a new sequence of linear positive operators. The error in the approximation is estimated in terms of ...
Linear Automorphism Groups of Relatively Free Groups
Linear Automorphism Groups Relatively Free Groups
2010/2/26
Let G be a free group in a variety of groups, but G is not absolutely free. We prove that the group of automorphisms Aut(G) is linear if and only if G is a finitely generated virtually nilpotent group...
Exponential decay of semigroups for second order non-selfadjoint linear differential equations
Accretive operator sectorial operator C0-semigroup
2011/1/20
The Cauchy problem for second order linear differential equation u′′(t) + Du′(t) + Au(t) = 0
in Hilbert space H with a sectorial operator A and an accretive operator D is studied. Sufficient conditio...
Accounting for risk of non linear portfolios: a novel Fourier approach
non linear portfolios novel Fourier approach
2010/4/27
The presence of non linear instruments is responsible for the emergence of non Gaussian features in the price changes distribution of realistic portfolios, even for Normally distributed risk factors. ...
Root Isolation of Zero-dimensional Polynomial Systems with Linear Univariate Representation
Zero-dimensional polynomial system linear univariate representation local generic position root isolation
2013/9/9
In this paper, a linear univariate representation for the roots of a zero-dimensional polynomial equation system is presented, where the roots of the equation system are represented as linear combinat...
We discuss some stability problems when each agent of a linear flock on the line interacts with its two nearest neighbors (one on either side).
Solitons in combined linear and nonlinear lattice potentials
Solitons nonlinear lattice potentials combined linear
2010/4/1
We study ordinary solitons and gap solitons (GSs) in the effectively one-dimensional Gross-Pitaevskii equation, with a combination of linear and nonlinear lattice potentials. The main points of the an...
Linear Orderings and Powers of Characterizable Cardinal
Infinitary Logic Scott sentence Characterizable cardinals
2011/2/21
The current paper answers an open question of [5].We say that a countable modelMcharacterizes an infinite cardinal , if the Scott sentence ofMhas a model in cardinality , but no models in cardinalit...
Iterative entropy method for linear complementarity problem
linear complementarity problem maximum entropy function
2010/9/10
Linear complementarity problem can be formulated as a fix point problem.The paper deals with this problem by means of taking the place of maximum entropy funciton.By constructing an interval extension...
A new method for solving of rectangular fuzzy linear system of equations based on Greville's algorithm
fuzzy linear system of equations Greville ’s method
2010/9/10
Linear systems have important applications to many branches of science and engineering. In many applications, at least some of the parameters of the system are represented by fuzzy rather than crisp n...
Estimating the time-to-failure distribution of a linear degradation model using a Bayesian approach
Reliability Bayesian Degradation Grouped data
2010/9/10
In this paper, we consider two types of failure data namely grouped and non-grouped, which can be motivated from a linear mixed degradation model. We propose a Bayesian approach to estimate the parame...
Legendre multi-wavelets direct method for linear integro-differential equations
Integro-differential equation Legendre multi-wavelets
2010/9/13
We use the continuous Legendre multi-wavelets on the interval [0, 1) to solve the linear integro-differential equation. To do so, we reduced the problem into a system of algebraic equations. Illustrat...