Equilibrium points and central configurations for the Lennard-Jones 2-and 3-body problems

Abstract. In this paper we study the relative equilibria and their stability for a system of three point particles moving under the action of a Lennard{Jones potential. A central con guration is a special position of the particles where the position and acceleration vectors of each particle are proportional, and the constant of proportionality is the same for all particles. Since the Lennard{Jones potential depends only on the mutual distances among the particles, it is invariant under rotations. In a rotating frame the orbits coming from central con gurations become equilibrium points, the relative equilibria. Due to the form of the potential, the relative equilibria depend on the size of the system, that is, depend strongly of the momentum of inertia I. In this work we characterize the relative equilibria, we nd the bifurcation values of I for which the number of relative equilibria is changing, we also analyze the stability of the relative equilibria.

Storage and uptake of D-serine into astrocytic synaptic-like vesicles specify gliotransmission.

Glial cells are increasingly recognized as active players that profoundly influence neuronal synaptic transmission by specialized signaling pathways. In particular, astrocytes have been shown recently to release small molecules, such as the amino acids l-glutamate and d-serine as "gliotransmitters," which directly control the efficacy of adjacent synapses. However, it is still controversial whether gliotransmitters are released from a cytosolic pool or by Ca(2+)-dependent exocytosis from secretory vesicles, i.e., by a mechanism similar to the release of synaptic vesicles in synapses. Here we report that rat cortical astrocytes contain storage vesicles that display morphological and biochemical features similar to neuronal synaptic vesicles. These vesicles share some, but not all, membrane proteins with synaptic vesicles, including the SNARE (soluble N-ethylmaleimide-sensitive factor attachment protein receptor) synaptobrevin 2, and contain both l-glutamate and d-serine. Furthermore, they show uptake of l-glutamate and d-serine that is driven by a proton electrochemical gradient. d-Serine uptake is associated with vesicle acidification and is dependent on chloride. Whereas l-serine is not transported, serine racemase, the synthesizing enzyme for d-serine, is anchored to the membrane of the vesicles, allowing local generation of d-serine. Finally, we reveal a previously unexpected mutual vesicular synergy between d-serine and l-glutamate filling in glia vesicles. We conclude that astrocytes contain vesicles capable of storing and releasing d-serine, l-glutamate, and most likely other neuromodulators in an activity-dependent manner.

A Fast Gradient Approximation for Nonlinear Blind Signal Processing

When dealing with nonlinear blind processing algorithms (deconvolution or post-nonlinear source separation), complex mathematical estimations must be done giving as a result very slow algorithms. This is the case, for example, in speech processing, spike signals deconvolution or microarray data analysis. In this paper, we propose a simple method to reduce computational time for the inversion of Wiener systems or the separation of post-nonlinear mixtures, by using a linear approximation in a minimum mutual information algorithm. Simulation results demonstrate that linear spline interpolation is fast and accurate, obtaining very good results (similar to those obtained without approximation) while computational time is dramatically decreased. On the other hand, cubic spline interpolation also obtains similar good results, but due to its intrinsic complexity, the global algorithm is much more slow and hence not useful for our purpose.

Post-Nonlinear Mixtures and Beyond

Although sources in general nonlinear mixturm arc not separable iising only statistical independence, a special and realistic case of nonlinear mixtnres, the post nonlinear (PNL) mixture is separable choosing a suited separating system. Then, a natural approach is based on the estimation of tho separating Bystem parameters by minimizing an indcpendence criterion, like estimated mwce mutual information. This class of methods requires higher (than 2) order statistics, and cannot separate Gaarsian sources. However, use of [weak) prior, like source temporal correlation or nonstationarity, leads to other source separation Jgw rithms, which are able to separate Gaussian sourra, and can even, for a few of them, works with second-order statistics. Recently, modeling time correlated s011rces by Markov models, we propose vcry efficient algorithms hmed on minimization of the conditional mutual information. Currently, using the prior of temporally correlated sources, we investigate the fesihility of inverting PNL mixtures with non-bijectiw non-liacarities, like quadratic functions. In this paper, we review the main ICA and BSS results for riunlinear mixtures, present PNL models and algorithms, and finish with advanced resutts using temporally correlated snu~sm

Blind channel deconvolution of real world signals using source separation techniques

In this paper we present a method for blind deconvolution of linear channels based on source separation techniques, for real word signals. This technique applied to blind deconvolution problems is based in exploiting not the spatial independence between signals but the temporal independence between samples of the signal. Our objective is to minimize the mutual information between samples of the output in order to retrieve the original signal. In order to make use of use this idea the input signal must be a non-Gaussian i.i.d. signal. Because most real world signals do not have this i.i.d. nature, we will need to preprocess the original signal before the transmission into the channel. Likewise we should assure that the transmitted signal has non-Gaussian statistics in order to achieve the correct function of the algorithm. The strategy used for this preprocessing will be presented in this paper. If the receiver has the inverse of the preprocess, the original signal can be reconstructed without the convolutive distortion.

Aggregation invariance in general clustering approaches

General clustering deals with weighted objects and fuzzy memberships. We investigate the group- or object-aggregation-invariance properties possessed by the relevant functionals (effective number of groups or objects, centroids, dispersion, mutual object-group information, etc.). The classical squared Euclidean case can be generalized to non-Euclidean distances, as well as to non-linear transformations of the memberships, yielding the c-means clustering algorithm as well as two presumably new procedures, the convex and pairwise convex clustering. Cluster stability and aggregation-invariance of the optimal memberships associated to the various clustering schemes are examined as well.

Amplitude envelope synchronization in coupled chaotic oscillators.

A peculiar type of synchronization has been found when two Van der PolDuffing oscillators, evolving in different chaotic attractors, are coupled. As the coupling increases, the frequencies of the two oscillators remain different, while a synchronized modulation of the amplitudes of a signal of each system develops, and a null Lyapunov exponent of the uncoupled systems becomes negative and gradually larger in absolute value. This phenomenon is characterized by an appropriate correlation function between the returns of the signals, and interpreted in terms of the mutual excitation of new frequencies in the oscillators power spectra. This form of synchronization also occurs in other systems, but it shows up mixed with or screened by other forms of synchronization, as illustrated in this paper by means of the examples of the dynamic behavior observed for three other different models of chaotic oscillators.

Isothermal sections of the Ru-Si-Ge, Ru-Ge-Sn and Ru-Si-Sn systems at 900°C

The ternary systems Ruthenium-Silicon-Germanium, Ruthenium-Germanium-Tin and Ruthenium-Silicon-Tin were investigated by powder X-ray diffraction and electron microprobe analysis. Relations at 900 degrees C between solid phases are given and no ternary compound was found. Solubilities and evolution of lattice parameters have been correlated. Maximum mutual solubilities in the Si-Sn and Ge-Sn systems are given. (C) 1998 Elsevier Science S.A.

Tuotekehityksen asiantuntijapalvelun tuotteistaminen ja käyttöönotto

Tutkimuksen tavoitteena on löytää keinoja eri organisaatioissa olevan asiantuntijatiedon kokoamiseksi tuotteistetun prosessin kautta yrityksissä tapahtuvan päätöksenteon tueksi. Kirjallisuustutkimuksessa tarkastellaan suomalaista innovaatiojärjestelmää, hiljaisen tiedon merkitystä pkt-yritysten tuotekehityksessä sekä ryhmässä tapahtuvan päätöksentekoprosessin merkityksellisyyttä. Tutkimuksen empiirisessä osassa tarkastellaan Etelä-Karjalassa toteutettua tuotekehityshanketta, siinä synnytettyä innovaatioryhmää ja sen yhteistyömuotoa (EKTK-konsepti). Tutkimuksen aikana luotiin toimintatapa, jolla nopeutetaan hajallaan olevan tiedon kokoamista yritysten käyttöön. Tutkimus osoittaa, että tällaisen innovaatioryhmän toiminta vaatii laajaa tuotekehitysprosessien ja liiketoimintojen kokonaisuuksien ymmärtämistä sekä selkeät yhteiset toimintamallit. Sen lisäksi tarvitaan ymmärrys hiljaisen tiedon olemassaolosta, merkityksestä ja keskustelujen kautta muuntamisesta siirrettävään muotoon.

Linear transceiver design in nonregenerative relays with channel state information

This paper deals with the design of nonregenerativerelaying transceivers in cooperative systems where channel stateinformation (CSI) is available at the relay station. The conventionalnonregenerative approach is the amplify and forward(A&F) approach, where the signal received at the relay is simplyamplified and retransmitted. In this paper, we propose an alternativelinear transceiver design for nonregenerative relaying(including pure relaying and the cooperative transmission cases),making proper use of CSI at the relay station. Specifically, wedesign the optimum linear filtering performed on the data to beforwarded at the relay. As optimization criteria, we have consideredthe maximization of mutual information (that provides aninformation rate for which reliable communication is possible) fora given available transmission power at the relay station. Threedifferent levels of CSI can be considered at the relay station: onlyfirst hop channel information (between the source and relay);first hop channel and second hop channel (between relay anddestination) information, or a third situation where the relaymay have complete cooperative channel information includingall the links: first and second hop channels and also the directchannel between source and destination. Despite the latter beinga more unrealistic situation, since it requires the destination toinform the relay station about the direct channel, it is useful as anupper benchmark. In this paper, we consider the last two casesrelating to CSI.We compare the performance so obtained with theperformance for the conventional A&F approach, and also withthe performance of regenerative relays and direct noncooperativetransmission for two particular cases: narrowband multiple-inputmultiple-output transceivers and wideband single input singleoutput orthogonal frequency division multiplex transmissions.

The building blocks of the full body ownership illusion

Previous work has reported that it is not difficult to give people the illusion of ownership over an artificial body, providing a powerful tool for the investigation of the neural and cognitive mechanisms underlying body perception and self consciousness. We present an experimental study that uses immersive virtual reality (IVR) focused on identifying the perceptual building blocks of this illusion. We systematically manipulated visuotactile and visual sensorimotor contingencies, visual perspective, and the appearance of the virtual body in order to assess their relative role and mutual interaction. Consistent results from subjective reports and physiological measures showed that a first person perspective over a fake humanoid body is essential for eliciting a body ownership illusion. We found that the illusion of ownership can be generated when the virtual body has a realistic skin tone and spatially substitutes the real body seen from a first person perspective. In this case there is no need for an additional contribution of congruent visuotactile or sensorimotor cues. Additionally, we found that the processing of incongruent perceptual cues can be modulated by the level of the illusion: when the illusion is strong, incongruent cues are not experienced as incorrect. Participants exposed to asynchronous visuotactile stimulation can experience the ownership illusion and perceive touch as originating from an object seen to contact the virtual body. Analogously, when the level of realism of the virtual body is not high enough and/or when there is no spatial overlap between the two bodies, then the contribution of congruent multisensory and/or sensorimotor cues is required for evoking the illusion. On the basis of these results and inspired by findings from neurophysiological recordings in the monkey, we propose a model that accounts for many of the results reported in the literature.

Measuring the effects through time of the influence of visuomotor and visuotactile synchronous stimulation on a virtual body ownership illusion

Previous studies have examined the experience of owning a virtual surrogate body or body part through specific combinations of cross-modal multisensory stimulation. Both visuomotor (VM) and visuotactile (VT) synchronous stimulation have been shown to be important for inducing a body ownership illusion, each tested separately or both in combination. In this study we compared the relative importance of these two cross-modal correlations, when both are provided in the same immersive virtual reality setup and the same experiment. We systematically manipulated VT and VM contingencies in order to assess their relative role and mutual interaction. Moreover, we present a new method for measuring the induced body ownership illusion through time, by recording reports of breaks in the illusion of ownership ("breaks") throughout the experimental phase. The balance of the evidence, from both questionnaires and analysis of the breaks, suggests that while VM synchronous stimulation contributes the greatest to the attainment of the illusion, a disruption of either (through asynchronous stimulation) contributes equally to the probability of a break in the illusion.

Managing Subsidiary Integration During Corporate Expansion in Russia

Kansallisten rajojen yli laajentuvat yritykset kohtaavat kasvavia paineita yhtenäistää eri yksiköiden toimintatapoja, prosesseja ja järjestelmiä. Hyvin toteutettuna organisaation sisäinen integrointi voi johtaa tytäryritysten tuottavuuden parantumiseen ja strategisiin mittakaavaetuihin, kun taas huonosti toteutettuna integrointi voi johtaa lisääntyviin konflikteihin ja emoyhtiön kontrollin katoamiseen. Integroinnin kannalta Venäjälle perustettavat tytäryritykset asettavat suuria haasteita. Kasvava ja kehittyvä kansantalous on jatkuvassa muutoksessa kohti edistyneempiä ja tuottavampia toimintamalleja, mutta toisaalta yritystoiminnantaustalla vaikuttaa edelleenkin Neuvostoajan perinnöt, jotka muokkaavat yritysten johtamisrakenteita ja prosesseja. Nämä taustavaikuttajat vaikeuttavat kansainvälisen yrityksen yhtenäistämistä, mutta toisaalta tarjoavat suuria mahdollisuuksia yrityksille, jotka oppivat elämään Venäjän markkinoiden ehdoilla. Tämä tutkimus käyttää apunaan konstruktiivista tutkimustyötä ratkoakseenYIT:n Venäjälle perustettavien yritysten integrointiin liittyviä ongelmia ja mahdollisuuksia. Työn lopputuloksena syntyy oppimiseen pohjautuva integraatiostrategia ja tätä strategiaa tukeva integroinnin johtamisjärjestelmä.

Developing of supplier network in shipbuilding industry

Työn tarkoituksena on selvittää minkälaisen verkoston Aker Yards Oy, kokonaistoimittajat ja kokonaistoimittajien alihankkijat muodostavat. Lisäksi arvioidaan verkostoriskit, joita Aker Yards Oy kohtaa toimiessaan verkostossa. Tutkimus suoritettiin tekemällä kysely verkostossa oleville kokonaistoimittajille sekä haastattelemalla kuutta henkilöä Aker Yards Oy:stä. Suhteita ja verkostoa analysoitiin tutkimalla verkoston yksittäisiä toimijoita sekä näiden välisiä suhteita. Riskejä analysoitiin tarkastelemalla niiden tunnistettuja syitä. Työn tuloksena on verkostokuva, joka piirrettiin kyselytulosten perusteella. Suhteiden ja verkoston analyysillä päädyttiin tehtäviin, joita Aker Yards Oy:n johdon tulisi toteuttaa, jotta verkostosta ja yksittäisistä toimittajista saataisiin irti mahdollisimman paljon. Lisäksi suhteita ja verkostoa käsiteltiin niiden tuloksellisen johtamisen näkökulmasta. Riskianalyysista saatiin tuloksena uhkaavimpien riskien arviointi.

Motives, Challenges and Success Factors in the Business Partner Network

Tässä työssä käsitellään niitä motiiveja, haasteita ja menestystekijöitä, jotka vaikuttavat lisäarvoatuottavassa liiketoimintaverkostossa. Työssä on selvitetty sitä, miten partneriverkostot syntyvät sekä mitkä seikat vaikuttavat siihen jatkuuko yhteistyö vai ei. Motiiveja partneruuteen on tutkittu kirjallisuudesta sekä analysoimalla työssä esitettyä tapausta. Tässä työssä käydään keskustelua myös partneruuden elinkaaresta, jota ei ole käsitellyssä kirjallisuudessa tuotu esille. Työssä esitettyä tapausta arvioitiin lähettämällä siihen liittyneille henkilöille kysely. Kyselyiden lähettämisen jälkeen järjestettiin haastattelu kyselyyn vastanneiden kanssa. Lopputulokset perustuvat pitkälti haastateltujen henkilöiden kanssa käytyihin keskusteluihin. Kävi ilmi, että arvoa tuottavan partneriverkoston yksi tärkeimpiä tavoitteita on saavuttaa jatkuvuutta liiketoiminnallaan. Ainoastaan pitkäaikaisella partneruudella voidaan saavuttaa merkittäviä etuja markkinoilla. Siksi on tärkeätä, jo partnerin valinnassa, kiinnittää huomiota partneruuden jatkuvuuteen pitkällä tähtäimellä. Liiketoimintaverkostossa partneruudesta syntyvät tuotot ja niiden jakaminen on tärkein yksittäinen osaalue. Oleellista partneruuden jatkuvuudelle pitkällä tähtäimellä on jo partneria valittaessa se, että kyetään arvioimaan miten partneruudesta syntyvät tuotot jaetaan tasapuolisesti ja onko partneruudesta syntyvälle liiketoiminnalle jatkuvuutta. Jotta partneriverkostolle asetetut tavoitteet voitaisiin saavuttaa, on tärkeää suunnitella partneriverkoston hallintaa myös operatiivisella tasolla. Lisäksi tärkeää on jakaa verkostolle asetetut yhteiset tavoitteet organisaatioiden sisällä. Jos ylemmänja operatiivisen tason johdon yhteistyö on riittämätöntä, se vaikeuttaa oleellisesti asetettujen tavoitteiden saavuttamista. Tiedon jakaminen aikaisessa vaiheessa sitouttaa eri sidosryhmät paremmin yhteisiin tavoitteisiin.