Helminck, G. F. Poberezhny, V. A. Polenkova, S. V.
Published in
Theoretical and Mathematical Physics

Abstract We show that both the dKP hierarchy and its strict version can be extended to a wider class of deformations satisfying a larger set of Lax equations. We prove that both extended hierarchies have appropriate linearizations allowing a geometric construction of their solutions.

Romanov, V. G.
Published in
Computational Mathematics and Mathematical Physics

AbstractFor electrodynamic equations with permittivity specified by a symmetric matrix \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varepsilon (x) = ({{\varepsilon ...

Kaniewski, Piotr
Published in
Sensors (Basel, Switzerland)

The paper presents a method of computational complexity reduction in Extended Kalman Filters dedicated for systems with non-linear measurement models. Extended Kalman filters are commonly used in radio-location and radio-navigation for estimating an object’s position and other parameters of motion, based on measurements, which are non-linearly rela...

Sapsalev, A. V. Bogdanov, V. V. Dybko, M. A. Davydenko, O. B.
Published in
Russian Engineering Research

AbstractThe structure of a magnetic clutch is considered. The model of the clutch may be reduced to a two-mass system. Representing the force exerted by the magnetic field between the half-clutches as a noninertial elastic coupling, various structural models of the clutch are created. On the basis of Simulink–Matlab object-visual simulation softwar...

stienen, valentijn engwerda, jacob

In this paper, we present a stylized dynamic interdependent multi-country energy transition model. The goal of this paper is to provide a starting point for examining the impact of uncertainty in such models. To do this, we define a simple model based on the standard Solow macroeconomic growth model. We consider this model in a two-country setting ...

balitsky, philip quartier, nicolas fernandez, gael verao stratigaki, vasiliki troch, peter

The Power Take-Off (PTO) system is the key component of a Wave Energy Converter (WEC) that distinguishes it from a simple floating body because the uptake of the energy by the PTO system modifies the wave field surrounding the WEC. Consequently, the choice of a proper PTO model of a WEC is a key factor in the accuracy of a numerical model that serv...

Harwood, William

The purpose of this article is to explain the aspectual restrictions on existential constructions in Standard English. Whilst the lexical verb in unaccusative existentials can occur in all inflectional forms, the lexical verb in transitive existentials is restricted only to the progressive and passive participial forms. I argue that these facts can...

Ahmed, Elyes Ali Hassan, Sarah Japhet, Caroline Kern, Michel Vohralík, Martin

We consider two-phase flow in a porous medium composed of two different rock types, so that the capillary pressure field is discontinuous at the interface between the rocks. This is a nonlinear and degenerate parabolic problem with nonlinear and discontinuous transmission conditions on the interface. We first describe a space-time domain decomposit...

Avram, Florin Cresson, Jacky

We extend below a limit theorem [3] for diffusion models used in population theory. A diffusion with small noise is defined as the solution of a stochastic differential equation (SDE) driven by standard Brownian motion B t (·) (defined on a probability space and progressively measurable with respect to an increasing filtration) dX ε t...

sáez, raúl gracia marqués, nicolás medrano

In order to maximize the efficiency of telecommunications equipment, it is necessary that the radio frequency (RF) power amplifier is situated as closely as possible to its compression point. This makes its response nonlinear, and therefore it is necessary to linearize it, in order to minimize the interference that nonlinearities cause outside the ...