A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: explorations and mechanisms for the breakdown of hyperbolicity

In two previous papers [J. Differential Equations, 228 (2006), pp. 530 579; Discrete Contin. Dyn. Syst. Ser. B, 6 (2006), pp. 1261 1300] we have developed fast algorithms for the computations of invariant tori in quasi‐periodic systems and developed theorems that assess their accuracy. In this paper, we study the results of implementing these algorithms and study their performance in actual implementations. More importantly, we note that, due to the speed of the algorithms and the theoretical developments about their reliability, we can compute with confidence invariant objects close to the breakdown of their hyperbolicity properties. This allows us to identify a mechanism of loss of hyperbolicity and measure some of its quantitative regularities. We find that some systems lose hyperbolicity because the stable and unstable bundles approach each other but the Lyapunov multipliers remain away from 1. We find empirically that, close to the breakdown, the distances between the invariant bundles and the Lyapunov multipliers which are natural measures of hyperbolicity depend on the parameters, with power laws with universal exponents. We also observe that, even if the rigorous justifications in [J. Differential Equations, 228 (2006), pp. 530-579] are developed only for hyperbolic tori, the algorithms work also for elliptic tori in Hamiltonian systems. We can continue these tori and also compute some bifurcations at resonance which may lead to the existence of hyperbolic tori with nonorientable bundles. We compute manifolds tangent to nonorientable bundles.

Performance Tuning of Fenix Logistic Systems

Työn tavoitteena oli selvittää Stora Enso Oyj:llä käytössä olevan Fenix myynnin- ja logistiikanhallintajärjestelmän logistiikkapalveluiden suorituskyky, tuottaa asiakasohjelmisto suorituskykymittauksista muodostuneen tiedon hallintaan sekä tuottaa toteuttamissuunnitelma suorituskyvyn parantamiseksi. Suorituskyky mitattiin käyttämällä TUXEDOn tarjoamia ominaisuuksia. Suorituskykymittausten tuloksien arviointia varten rakennettiin asiakasohjelmisto, jolla pystyttiin tuottamaan tarvittavat yhteenvetotiedot palveluiden kestoista ja rakenteista. Valmiita ratkaisuja ei ollut tarjolla, joten kaikki tarvittavat ohjelmistot on rakennettu osana tätä työtä. Kaikki komponenttiliittymät toteutettiin siten, että myös muitakin kuin logistiikkaan liittyviä palveluita voidaan tarvittaessa mitata. Mittausten tuloksena saatuja keskimääräisiä suoritusaikoja käytettiin hyväksi toteuttamissuunnitelmaa tehdessä. Toteutussuunnitelma sisältää useiden logistiikka-alueiden kehittämisideoita, joilla Fenixin logistiikkapalveluiden suorituskykyä voidaan tehostaa., ja nykyinen järjestelmän toimintanopeus pystytään säilyttämään tulevaisuudessa. Toteuttamissuunnitelmassa esitettyjä toimenpiteitä tullaan toteuttamaan TietoEnator Oyj:ssä vuoden 2003 aikana.

Logistic Solutions of Imported Renovation Materials

Tämän diplomityön tavoitteena oli tutkia saneeraus- ja remontoimistuotteiden osalta maahantuontia Suomeen ja transitoliikennettä Suomen kautta Venäjälle. Lähtökohtana oli Suomen logistinen asema ja mahdolliset kilpailukykyyn vaikuttavat tekijät, joista on luotu potentiaalisia tulevaisuuden kuvia. Kaikki tulokset johdettiin LOADER/CLIENT –tutkimusprojektin yhteyksistä. Tutkimuksen tavoitteisiin päästiin empiiristä tutkimusta varten kootun teorian kautta, joka koostuu toimitusketjun hallinnasta ja tämänhetkisestä parhaimmasta käytännöstä eli ns. kolmen A:n menetelmästä. Lisäksi teoriaosuudessa tarkasteltiin toimitusketjun yritysten välisiä suhteita, kansainväliseen toimitusketjuun liittyviä tekijöitä sekä tulevaisuuden haasteita. Työn empiiristä tutkimustietoa kerättiin pääasiassa haastattelujen, mutta myös muiden tutkimuksen tuloksien kautta. Tutkimusmenetelmä oli laadullinen puolistrukturoitu teemahaastattelu, jota varten ryhmä remontoimiseen ja saneeraukseen liittyviä yrityksiä ja heidän käyttämiä logistisia operaattoreita sekä projektin johtoryhmää haastateltiin. Tutkimuksen tulosten mukaan suurin osa haastatelluista yrityksistä näkee Suomen logistisen aseman hyvänä tällä hetkellä ja lähivuosina. Etenkin arvotavaroiden transito- kuljetuksissa Suomen asema nähdään vahvana vuosien kokemuksen ansiosta. Tällä hetkellä arvotavaroiden toimitusaika ja kokonaiskustannukset varastoimisineen ja käsittelyineen ovat vastaavia tai jopa edullisempia verrattuna esimerkiksi reitteihin Baltian maiden kautta. Baltian maiden kehitys voi heikentää Suomen kilpailukykyä hetkellisesti, mutta todennäköisesti ei pidemmällä aikavälillä. Haastateltujen henkilöiden mielestä Suomen logistiseen kilpailukykyyn tulevaisuudessa vaikuttaa eniten kaksi kriittistä tekijää. Suomen tulisi ensinnäkin keskittyä ja kehittää arvotavaran transitokuljetuksia. Toiseksi, säilyttääkseen kilpailukykynsä, Suomen satamien palveluiden kuten tullin ja ahtaajien tulisi olla joustavasti käytettävissä 24 tuntia vuorokaudessa vuoden jokaisena päivänä.

Self-Organising Maps and Correlation Analysis as a Tool to Explore Patterns in Excitation-Emission Matrix Data Sets and to Discriminate Dissolved Organic Matter Fluorescence Components

Dissolved organic matter (DOM) is a complex mixture of organic compounds, ubiquitous in marine and freshwater systems. Fluorescence spectroscopy, by means of Excitation-Emission Matrices (EEM), has become an indispensable tool to study DOM sources, transport and fate in aquatic ecosystems. However the statistical treatment of large and heterogeneous EEM data sets still represents an important challenge for biogeochemists. Recently, Self-Organising Maps (SOM) has been proposed as a tool to explore patterns in large EEM data sets. SOM is a pattern recognition method which clusterizes and reduces the dimensionality of input EEMs without relying on any assumption about the data structure. In this paper, we show how SOM, coupled with a correlation analysis of the component planes, can be used both to explore patterns among samples, as well as to identify individual fluorescence components. We analysed a large and heterogeneous EEM data set, including samples from a river catchment collected under a range of hydrological conditions, along a 60-km downstream gradient, and under the influence of different degrees of anthropogenic impact. According to our results, chemical industry effluents appeared to have unique and distinctive spectral characteristics. On the other hand, river samples collected under flash flood conditions showed homogeneous EEM shapes. The correlation analysis of the component planes suggested the presence of four fluorescence components, consistent with DOM components previously described in the literature. A remarkable strength of this methodology was that outlier samples appeared naturally integrated in the analysis. We conclude that SOM coupled with a correlation analysis procedure is a promising tool for studying large and heterogeneous EEM data sets.

Sierpinski curve Julia sets for quadratic rational maps

We investigate under which dynamical conditions the Julia set of a quadratic rational map is a Sierpiński curve.

Dynamics of integrable birational maps preserving genus 0 foliations

Pòster presentat al congrés NPDDS2014

High-density linkage maps fail to detect any genetic component to sex determination in a Rana temporaria family.

Sex chromosome differentiation in Rana temporaria varies strikingly among populations or families: whereas some males display well-differentiated Y haplotypes at microsatellite markers on linkage group 2 (LG2 ), others are genetically undistinguishable from females. We analysed with RADseq markers one family from a Swiss lowland population with no differentiated sex chromosomes, and where sibship analyses had failed to detect any association between the phenotypic sex of progeny and parental haplotypes. Offspring were reared in a common tank in outdoor conditions and sexed at the froglet stage. We could map a total of 2177 SNPs (1123 in the mother, 1054 in the father), recovering in both adults 13 linkage groups (= chromosome pairs) that were strongly syntenic to Xenopus tropicalis despite > 200 My divergence. Sexes differed strikingly in the localization of crossovers, which were uniformly distributed in the female but limited to chromosome ends in the male. None of the 2177 markers showed significant association with offspring sex. Considering the very high power of our analysis, we conclude that sex determination was not genetic in this family; which factors determined sex remain to be investigated.

High-density sex-specific linkage maps of a European tree frog (Hyla arborea) identify the sex chromosome without information on offspring sex.

Identifying homology between sex chromosomes of different species is essential to understanding the evolution of sex determination. Here, we show that the identity of a homomorphic sex chromosome pair can be established using a linkage map, without information on offspring sex. By comparing sex-specific maps of the European tree frog Hyla arborea, we find that the sex chromosome (linkage group 1) shows a threefold difference in marker number between the male and female maps. In contrast, the number of markers on each autosome is similar between the two maps. We also find strongly conserved synteny between H. arborea and Xenopus tropicalis across 200 million years of evolution, suggesting that the rate of chromosomal rearrangement in anurans is low. Finally, we show that recombination in males is greatly reduced at the centers of large chromosomes, consistent with previous cytogenetic findings. Our research shows the importance of high-density linkage maps for studies of recombination, chromosomal rearrangement and the genetic architecture of ecologically or economically important traits.

A Hierarchical Approach for Multi-task Logistic Regression

Peer-reviewed

The geologic and geomorphologic maps of Santa Coloma de Farners (Girona, Spain)

Notice about the geologic and geomorphologic maps of Santa Coloma de Farners, at scale 1:10,000 published by Unitat de Geologia of the Universitat de Girona

Geologic maps published by university de Girona's unity of geodynamics

In 1978 University de Girona's Unity of Geodynamics started publishing geological maps, in several themes and scales, of various areas of the Province of Girona (fig. 1). So far, up to 38 maps, gathered in several collections, have been published

A Note on the periodic orbits and topological entropy of graph maps

This paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy of its periodic orbits

Implementation and Integration of New Baggage Logistic Centre at HelsinkiVantaa Airport

This thesis deals with improving international airport baggage supply chain management (SCM) by means of information technology and new baggage handling system. This study aims to focus on supply chain visibility in practice and to suggest different ways to improve the supply chain performance through information sharing. The objective is also to define how radio frequency identification (RFID) and enterprise resource planning (ERP) can make processes more transparent. In order to get full benefits from processes, effective business process management and monitoring as well as the key performance indicators must be defined, implemented and visualized through e.g. dashboard views for different roles. As an outcome of the research the need for the use of information technology systems and more advanced technologies, e.g. RFID in the supply chain management is evident. Sophisticated ERP is crucial in boosting SCM business processes and profitability. This would be beneficial for dynamic decision making as well in the airport and airline supply chain management. In the long term, economic aspects support the actions I have suggested in order to make production more flexible in reacting to quick changes.

Chemotaxonomy of three genera of the annonaceae family using self-organizing maps and 13C NMR data of diterpenes

The Annonaceae family is distributed throughout Neotropical regions of the world. In Brazil, it covers nearly all natural formations particularly Annona, Xylopia and Polyalthia and is characterized chemically by the production of sources of terpenoids (mainly diterpenes), alkaloids, steroids, polyphenols and, flavonoids. Studies from 13C NMR data of diterpenes related with their botanical occurrence were used to generate self-organizing maps (SOM). Results corroborate those in the literature obtained from morphological and molecular data for three genera and the model can be used to project other diterpenes. Therefore, the model produced can predict which genera are likely to contain a compound.