Periodic window arising in the parameter space of an impact oscillator

In the bi-dimensional parameter space of an impact-pair system, shrimp-shaped periodic windows are embedded in chaotic regions. We show that a weak periodic forcing generates new periodic windows near the unperturbed one with its shape and periodicity. Thus, the new periodic windows are parameter range extensions for which the controlled periodic oscillations substitute the chaotic oscillations. We identify periodic and chaotic attractors by their largest Lyapunov exponents. (C) 2010 Elsevier B.V. All rights reserved.

The information capacity of hypercycles

Hypercycles are information integration systems which are thought to overcome the information crisis of prebiotic evolution by ensuring the coexistence of several short templates. For imperfect template replication, we derive a simple expression for the maximum number of distinct templates n(m). that can coexist in a hypercycle and show that it is a decreasing function of the length L of the templates. In the case of high replication accuracy we find that the product n(m)L tends to a constant value, limiting thus the information content of the hypercycle. Template coexistence is achieved either as a stationary equilibrium (stable fixed point) or a stable periodic orbit in which the total concentration of functional templates is nonzero. For the hypercycle system studied here we find numerical evidence that the existence of an unstable fixed point is a necessary condition for the presence of periodic orbits. (C) 2008 Elsevier Ltd. All rights reserved.

Metastable Periodic Patterns in Singularly Perturbed Delayed Equations

We consider the scalar delayed differential equation epsilon(x) over dot(t) = -x(t) + f(x(t-1)), where epsilon > 0 and f verifies either df/dx > 0 or df/dx < 0 and some other conditions. We present theorems indicating that a generic initial condition with sign changes generates a solution with a transient time of order exp(c/epsilon), for some c > 0. We call it a metastable solution. During this transient a finite time span of the solution looks like that of a periodic function. It is remarkable that if df/dx > 0 then f must be odd or present some other very special symmetry in order to support metastable solutions, while this condition is absent in the case df/dx < 0. Explicit epsilon-asymptotics for the motion of zeroes of a solution and for the transient time regime are presented.

Cascades of Hopf bifurcations from boundary delay

We consider a 1-dimensional reaction-diffusion equation with nonlinear boundary conditions of logistic type with delay. We deal with non-negative solutions and analyze the stability behavior of its unique positive equilibrium solution, which is given by the constant function u equivalent to 1. We show that if the delay is small, this equilibrium solution is asymptotically stable, similar as in the case without delay. We also show that, as the delay goes to infinity, this equilibrium becomes unstable and undergoes a cascade of Hopf bifurcations. The structure of this cascade will depend on the parameters appearing in the equation. This equation shows some dynamical behavior that differs from the case where the nonlinearity with delay is in the interior of the domain. (C) 2009 Elsevier Inc. All rights reserved.

Hopf Bifurcations in a Watt Governor with a Spring

This paper pursues the study carried out in [ 10], focusing on the codimension one Hopf bifurcations in the hexagonal Watt governor system. Here are studied Hopf bifurcations of codimensions two, three and four and the pertinent Lyapunov stability coefficients and bifurcation diagrams. This allows to determine the number, types and positions of bifurcating small amplitude periodic orbits. As a consequence it is found an open region in the parameter space where two attracting periodic orbits coexist with an attracting equilibrium point.

Stability of periodic optical solitons for a nonlinear Schrodinger system

This paper is concerned with the existence and nonlinear stability of periodic travelling-wave solutions for a nonlinear Schrodinger-type system arising in nonlinear optics. We show the existence of smooth curves of periodic solutions depending on the dnoidal-type functions. We prove stability results by perturbations having the same minimal wavelength, and instability behaviour by perturbations of two or more times the minima period. We also establish global well posedness for our system by using Bourgain`s approach.

Periodic geodesics and geometry of compact Lorentzian manifolds with a Killing vector field

We study the geometry and the periodic geodesics of a compact Lorentzian manifold that has a Killing vector field which is timelike somewhere. Using a compactness argument for subgroups of the isometry group, we prove the existence of one timelike non self-intersecting periodic geodesic. If the Killing vector field is nowhere vanishing, then there are at least two distinct periodic geodesics; as a special case, compact stationary manifolds have at least two periodic timelike geodesics. We also discuss some properties of the topology of such manifolds. In particular, we show that a compact manifold M admits a Lorentzian metric with a nowhere vanishing Killing vector field which is timelike somewhere if and only if M admits a smooth circle action without fixed points.

Triply periodic minimal surfaces which converge to the Hoffman-Wohlgemuth example

We get a continuous one-parameter new family of embedded minimal surfaces, of which the period problems are two-dimensional. Moreover, one proves that it has Scherk`s second surface and Hoffman-Wohlgemuth`s example as limit-members.

Stability of periodic travelling shallow-water waves determined by Newton`s equation

We study the existence and stability of periodic travelling-wave solutions for generalized Benjamin-Bona-Mahony and Camassa-Holm equations. To prove orbital stability, we use the abstract results of Grillakis-Shatah-Strauss and the Floquet theory for periodic eigenvalue problems.

Utvärdering av ICC-profiler och profil-inställningar för HP Indigo Press 1000

Det nystartade digitaltryckeriet Digaloo planerar att inom en snar framtid införa ICC-hantering i sittarbetsflöde. Med anledning av detta har en studie utförts där antalet erfordrade ICC-profiler undersöktssamt vilka akromatiska inställningar som bäst lämpar sig för tryckeriets HP Indigo Press 1000.Testtryckning utfördes på sex av Digaloos mest använda papperskvaliteter. Genom inläsning av testkartorhar de olika papperskvaliteternas reproducerbara färgrymder åskådliggjorts. Grundat på resultatetfrån denna testtryckning framställdes ICC-profiler för valda papperskvaliteter. Dessa genereradesmed olika inställningar för akromatisk repro och TIC (Total Ink Coverage). Vid en andra testtryckninganvändes dessa ICC-profiler för konvertering av mellanton-, natt- och snöbilder, vilka trycktespå olika papperskvaliteter.Resultatet från den första testtryckningen visar att HP Indigo Press 1000 återger störst förgrymd påpapperskvaliteten Silverblade Silk, tätt följd av Silverblade Art. De minsta färgrymderna reproduceraspå Lessebo Linné Gultonat och Lessebo Linné Naturvit.Vid perceptuell bedömning av de olika bilderna blev resultatet att bäst tryckresultat uppnås medpappersspecifika ICC-profiler. Detta gäller dock endast i två av tre fall. Vid bedömning av bäst lämpadTIC ansågs den idag på Digaloo använda nivån som mycket dålig. Genom att antingen sänka eller höjadenna nivå bedömdes tryckresultatet öka i kvalitet.Slutligen visar studien även att akromatik i form av UCR ger bäst bildåtergivning i mellanton- ochnattbilder på de valda papperskvaliteterna. De olika graderna av GCR i snöbilder anses dock passaolika bra beroende på vilken papperskvalitet som används.

Print quality study of a laboratory offset press

PAPRO operates within the Forest Research company and their mission is to develop value-addingindustry solutions. At present there are no good ways for mills to easily test the printing quality on newsprintpaper. There is a great need for a fast way to do this on different paper qualities; with a laboratory-offset press this can be both a time and money saving method. At PAPRO Forest Research, NewZealand, a laboratory offset press has been developed and designed, during the past seven years, concerningthis issue. Earlier projects were made concerning the press, e.g. to establish the optimal settings.The mission with this project was to partly determine the present variability of the print quality andto evaluate if the fountain solution, distilled water and 2% Diol green concentrate, used at the momentmixed with different percentages of Isopropanol could decrease the variability and contribute to morestabile results. Throughout the whole project the print quality showed a high variation and was evenmore variable when the Isopropanol was added. All in all 50 print rounds times twelve printed paperstrips was carried out through the project divided into three parts. To analyse the print quality, amicroscope with an image capture camera has been used. Data from the taken images was analysedand inserted into charts to see the variations.The conclusions of the whole project are not satisfying because no final evaluations were possible tomake. Main conclusions are that the additive of Isopropanol to the ordinary fountain solution, used atpresent, only contributed to more unstable results of the print quality. And it seems to be difficult toget some stable results from the lab press as long as the room where it is placed is not fully conditionedas required for the process of offset printing. And the fact that the airbrush which applies theamount of fountain solution is also variable, as shown in earlier projects, which contributes to unstableresults as well. For further work more exact parameters as a conditioned room are required and thepossibility to further design the laboratory press to use waterless offset printing instead.

Print quality study of newsprint : Further development of the laboratoryoffset press at PAPRO

A laboratory offset press has been developed over the last five years at PAPRO for testing print qualityon newsprint, as at present, there is no good way for the mills to test this issue. In this project a comparisonhas been made between a laboratory offset press and a commercial press to see if the laboratoryoffset press can be used as a reliable test method or if a further development is needed.To evaluate the method, similar papers have been printed in both presses and compared using imageanalysis techniques. All together eighteen samples were tested which is enough to give comparableresults. The print quality showed a high variation, the values from the laboratory offset press and thecommercial press were not following the same trends. At present time the laboratory offset press needsome further development before it can be used as a reliable test method for halftone prints. Even sosome conclusions were made.The newsprint that has been used came from Norske Skog Tasman Mill (Kawerau), since the otheraim of this project was to do a repeatability study of their three existing paper machines to distinguishpossible differences in the production. The paper samples were taken from each paper machine on sixdifferent dates to give a representative result. This also gave the opportunity to compare the machinesbetween themselves. Comparison between the machines shows that the wire side gives a better andmore even result than the topside on the prints from the laboratory offset press. According to the resultfrom the commercial press the wire side shows a higher degree of variability. Samples from papermachine 2 and 3 were less variable and had the lowest standard deviation of grey level for solid areas.This suggests that newsprints from PM 2 and PM 3 give a more even print quality with a better inkcoverage.

Hårdare tag i arbetslivet? : Åtgärder mot arbetsrelaterat våld i facklig press 1978–2004

Preventing violence at work: A study of descriptions of safety measures in Swedish trade union journals 1978–2004 The purpose of this study is to examine if perceptions of interventions aimed at violence in the workplace have changed since the 1970s. In the beginning of the study period, structural factors are seen as the dominating explanation for workplace violence. The crime perspective rises in the 1990’s and methods of intervention becomes the control- and justice functions of larger society. The result shows search for accountability to be a salient factor for understanding the development towards an increasing use of penal sanctions.