In this paper we present an approach to recover the dynamics from recurrences of a system and then generate (multivariate) twin surrogate (TS) trajectories. In contrast to other approaches, such as the linear-like surrogates, this technique produces surrogates which correspond to an independent copy of the underlying system, i. e. they induce a trajectory of the underlying system visiting the attractor in a different way. We show that these surrogates are well suited to test for complex synchronization, which makes it possible to systematically assess the reliability of synchronization analyses. We then apply the TS to study binocular fixational movements and find strong indications that the fixational movements of the left and right eye are phase synchronized. This result indicates that there might be one centre only in the brain that produces the fixational movements in both eyes or a close link between two centres.

In der vorliegenden Arbeit wird die Wiederkehr im Phasenraum ausgenutzt. Dabei werden drei Hauptresultate besprochen. 1. Die Wiederkehr erlaubt die Vorhersagbarkeit des Systems zu quantifizieren. 2. Die Wiederkehr enthaelt (unter bestimmten Voraussetzungen) sämtliche relevante Information über die Dynamik im Phasenraum 3. Die Wiederkehr erlaubt die Erzeugung dynamischer Ersatzdaten. / Recurrence plots, a rather promising tool of data analysis, have been introduced by Eckman et al. in 1987. They visualise recurrences in phase space and give an overview about the system's dynamics. Two features have made the method rather popular. Firstly they are rather simple to compute and secondly they are putatively easy to interpret. However, the straightforward interpretation of recurrence plots for some systems yields rather surprising results. For example indications of low dimensional chaos have been reported for stock marked data, based on recurrence plots. In this work we exploit recurrences or ``naturally occurring analogues'' as they were termed by E. Lorenz, to obtain three key results. One of which is that the most striking structures which are found in recurrence plots are hinged to the correlation entropy and the correlation dimension of the underlying system. Even though an eventual embedding changes the structures in recurrence plots considerably these dynamical invariants can be estimated independently of the special parameters used for the computation. The second key result is that the attractor can be reconstructed from the recurrence plot. This means that it contains all topological information of the system under question in the limit of long time series. The graphical representation of the recurrences can also help to develop new algorithms and exploit specific structures. This feature has helped to obtain the third key result of this study. Based on recurrences to points which have the same ``recurrence structure'', it is possible to generate surrogates of the system which capture all relevant dynamical characteristics, such as entropies, dimensions and characteristic frequencies of the system. These so generated surrogates are shadowed by a trajectory of the system which starts at different initial conditions than the time series in question. They can be used then to test for complex synchronisation.

Die tägliche Erfahrung zeigt uns, daß bei vielen physikalischen Systemen kleine Änderungen in den Anfangsbedingungen auch zu kleinen Änderungen im Verhalten des Systems führen. Wenn man z.B. das Steuerrad beim Auto fahren nur ein wenig zur Seite dreht, unterscheidet sich die Richtung des Wagens auch nur wenig von der ursprünglichen Richtung. Aber es gibt auch Situationen, für die das Gegenteil dieser Regel zutrifft. Die Folge von Kopf und Zahl, die wir erhalten, wenn wir eine Münze werfen, zeigt ein irreguläres oder chaotisches Zeitverhalten, da winzig kleine Änderungen in den Anfangsbedingungen, die z.B. durch leichte Drehung der Hand hervorgebracht werden, zu vollkommen verschiedenen Resultaten führen. In den letzten Jahren hat man sehr viele nichtlineare Systeme mit schnellen Rechnern untersucht und festgestellt, daß eine sensitive Abhängigkeit von den Anfangsbedingungen, die zu einem chaotischen Verhalten führt, keinesfalls die Ausnahme darstellt, sondern eine typische Eigenschaft vieler Systeme ist. Obwohl chaotische Systeme kleinen Änderungen in den Anfangsbedingungen gegenüber sehr empfindlich reagieren, können sie synchronisieren wenn sie durch eine gemeinsame äußere Kraft getrieben werden, oder wenn sie miteinander gekoppelt sind. Das heißt, sie vergessen ihre Anfangsbedingungen und passen ihre Rhythmen aneinander. Diese Eigenschaft chaotischer Systeme hat viele Anwendungen, wie z.B. das Design von Kommunikationsgeräte und die verschlüsselte Übertragung von Mitteilungen. Abgesehen davon, findet man Synchronisation in natürlichen Systemen, wie z.B. das Herz-Atmungssystem, raumverteilte ökologische Systeme, die Magnetoenzephalographische Aktivität von Parkinson Patienten, etc. In solchen komplexen Systemen ist es nicht trivial Synchronisation zu detektieren und zu quantifizieren. Daher ist es notwendig, besondere mathematische Methoden zu entwickeln, die diese Aufgabe erledigen. Das ist das Ziel dieser Arbeit. Basierend auf dergrundlegenden Idee von Rekurrenzen (Wiederkehr) von Trajektorien dynamischer Systeme, sind verschiedene Maße entwickelt worden, die Synchronisation in chaotischen und komplexen Systemen detektieren. Das Wiederkehr von Trajektorien erlaubt uns Vorhersagen über den zukünftigen Zustand eines Systems zu treffen. Wenn man diese Eigenschaft der Wiederkehr von zwei interagierenden Systemen vergleicht, kann man Schlüsse über ihre dynamische Anpassung oder Synchronisation ziehen. Ein wichtiger Vorteil der Rekurrenzmaße für Synchronisation ist die Robustheit gegen Rauschen und Instationariät. Das erlaubt eine Synchronisationsanalyse in Systemen durchzuführen, die bisher nicht darauf untersucht werden konnten. / This work deals with the connection between two basic phenomena in Nonlinear Dynamics: synchronization of chaotic systems and recurrences in phase space. Synchronization takes place when two or more systems adapt (synchronize) some characteristic of their respective motions, due to an interaction between the systems or to a common external forcing. The appearence of synchronized dynamics in chaotic systems is rather universal but not trivial. In some sense, the possibility that two chaotic systems synchronize is counterintuitive: chaotic systems are characterized by the sensitivity ti different initial conditions. Hence, two identical chaotic systems starting at two slightly different initial conditions evolve in a different manner, and after a certain time, they become uncorrelated. Therefore, at a first glance, it does not seem to be plausible that two chaotic systems are able to synchronize. But as we will see later, synchronization of chaotic systems has been demonstrated. On one hand it is important to investigate the conditions under which synchronization of chaotic systems occurs, and on the other hand, to develop tests for the detection of synchronization. In this work, I have concentrated on the second task for the cases of phase synchronization (PS) and generalized synchronization (GS). Several measures have been proposed so far for the detection of PS and GS. However, difficulties arise with the detection of synchronization in systems subjected to rather large amounts of noise and/or instationarities, which are common when analyzing experimental data. The new measures proposed in the course of this thesis are rather robust with respect to these effects. They hence allow to be applied to data, which have evaded synchronization analysis so far. The proposed tests for synchronization in this work are based on the fundamental property of recurrences in phase space.

In this work, some new results to exploit the recurrence properties of quasiperiodic dynamical systems are presented by means of a two dimensional visualization technique, Recurrence Plots(RPs). Quasiperiodicity is the simplest form of dynamics exhibiting nontrivial recurrences, which are common in many nonlinear systems. The concept of recurrence was introduced to study the restricted three body problem and it is very useful for the characterization of nonlinear systems. I have analyzed in detail the recurrence patterns of systems with quasiperiodic dynamics both analytically and numerically. Based on a theoretical analysis, I have proposed a new procedure to distinguish quasiperiodic dynamics from chaos. This algorithm is particular useful in the analysis of short time series. Furthermore, this approach demonstrates to be efficient in recognizing regular and chaotic trajectories of dynamical systems with mixed phase space. Regarding the application to real situations, I have shown the capability and validity of this method by analyzing time series from fluid experiments. / In dieser Arbeit stelle ich neue Resultate vor, welche zeigen, wie man Rekurrenzeigenschaften quasiperiodischer, dynamischer Systeme für eine Datenanalyse ausnutzen kann. Die vorgestellten Algorithmen basieren auf einer zweidimensionalen Darstellungsmethode, den Rekurrenz-Darstellungen. Quasiperiodizität ist die einfachste Dynamik, die nicht-triviale Rekurrenzen zeigt und tritt häufig in nichtlinearen Systemen auf. Nicht-triviale Rekurrenzen wurden im Zusammenhang mit dem eingeschränkten Dreikörper-problem eingeführt. In dieser Arbeit, habe ich mehrere Systeme mit quasiperiodischem Verhalten analytisch untersucht. Die erhaltenen Ergebnisse helfen die Wiederkehreigenschaften dieser Systeme im Detail zu verstehen. Basierend auf den analytischen Resultaten, schlage ich einen neuen Algorithmus vor, mit dessen Hilfe selbst in kurzen Zeitreihen zwischen chaotischem und quasiperiodischem Verhalten unterschieden werden kann. Die vorgeschlagene Methode ist besonders effizient zur Unterscheidung regulärer und chaotischer Trajektorien mischender dynamischer Systeme.Die praktische Anwendbarkeit der vorgeschlagenen Analyseverfahren auf Messdaten, habe ich gezeigt, indem ich erfolgreich Zeitreihen aus fluid-dynamischen Experimenten untersucht habe.

In this thesis several random Boolean networks are simulated. Both completely computer generated network and models for biological networks are simulated. Several different tools are used to gain knowledge about the robustness. These tools are Derrida plots, noise analysis and mean probability for canalizing rules. Some simulations on how entropy works as an indicator on if a network is robust are also included. The noise analysis works by measuring the hamming distance between the state of the network when noise is applied and when no noise is applied. For many of the simulated networks two types of rules are applied: nested canalizing and flat distributed rules. The computer generated networks consists of two types of networks: scale-free and ER-networks. One of the conclusions in this report is that nested canalizing rules are often more robust than flat distributed rules. Another conclusion is that the mean probability for canalizing rules has, for flat distributed rules, a very dominating effect on if the network is robust or not. Yet another conclusion is that the probability distribution for indegrees, for flat distributed rules, has a strong effect on if a network is robust due to the connection between the probability distribution for indegrees and the mean probability for canalizing rules.

<p>In this thesis, a 3D approach to visualize software metrics is presented. Software metrics are attributes of a piece of software or its specification. They generally contain a set of multivariate time-series data and can be displayed, for example, as a Kiviat diagram consisting of axes and polylines. The aim of this work is to design a Win32 application that can load multivariate time-series data from a file and visualize it as an interactive 3D Kiviat diagram.</p><p>There has been an approach that can display software metrics by using 2D Kiviat diagrams, but there are still some drawbacks on it. Since a better visualization of software metrics can help the developer to control the quality of software products more easily, this thesis improved the existing approach by extending 2D Kiviat diagram to 3D Kiviat diagram.</p>

Thesis--Bryn Mawr. / Vita. Bibliography: p. [123]-128.

Individuals with dyslexia have an unexpected difficulty learning to read. This difficulty produces other effects, such as poor reading attitudes, meaning many choose not to read. Reading is a valuable source of information and entertainment, therefore individuals with dyslexia require better reading support. This study attempted to develop an intervention to improve reading attitudes using video self-modelling (VSM). VSM involves individuals watching carefully created videos of themselves correctly performing target behaviours. During this 1 month intervention, 14 participants (13 male and 1 female) aged 9-14 who had dyslexia were asked to watch a weekly video of themselves silently reading one of four types of material: academic digital, academic print, recreational digital or recreational print. The participants’ reading attitudes and ability were measured before and after the intervention using the Survey of Adolescent Reading Attitudes and the Wide Range Achievement Test–Fourth Edition, respectively. Their reading habits and affect while reading (as a proxy measure of reading attitudes) were monitored during the intervention using a daily reading diary. This study did not detect any systematic or reliable changes in reading habits, affect while reading, reading attitudes and reading skills. This may have been due to limitations in the procedure, or it is possible that VSM cannot affect attitudes and that reading attitudes alone do not have a strong influence on ability. Consequently, future research should use VSM to help individuals with dyslexia by focusing on specific reading skills, such as phonological awareness.

Lietuvos nekilnojamojo turto kadastro ir registro sistema apima visas šalies administracines teritorijas. Nekilnojamojo turto registro duomenų banke sukaupti išsamūs duomenys apie nekilnojamojo turto objektus, įskaitant žemę, pastatus, patalpas, butus ir infrastruktūrą. Taip pat banke saugomi duomenys apie teisinį nekilnojamojo turto objektų valdymą, apsunkinimus, servitutus, teisinius faktus ir hipoteką. Taip apsaugomos piliečių nuosavybės teisės į nekilnojamąjį turtą. Ši Nekilnojamojo turto kadastro ir registro sistema yra gana efektyvi. Ji atvira, orientuota į visuomenę bei paremta daugiatikslio pritaikymo koncepcija. Atliekant tiriamąjį darbą buvo nagrinėjami įregistruotų gyvenamųjų namų ir sodo namelių skaičius bei jų ryšys su namų valdų ir sodo sklypų skaičiumi bei įregistruotų gyvenamųjų namų ir kitos paskirties pastatų skaičius ir tankumas 2004 m. – 2005 m. Pastebėta, kad Lietuvoje per nagrinėjamąjį laikotarpį daugiausia įregistruota gyvenamosios paskirties pastatų. Per dvejus metus šis skaičius buvo beveik 22000 pastatų. Labai lėtai buvo registruojami sodo nameliai. 2005 m. net 81 procentas sodų sklypų neturi įregistruotų sodų namelių. Tokią situaciją įtakoja daug priežasčių, pavyzdžiui, sodo namelis naudojamas, kaip gyvenamasis namas ir pan. / Real estate cadastre and register system developed in all country‘s administrative territories. In real estate register data bank is concentrate exhaustive data in real estate objects, including land, buildings, lodgings, flats and infrastructure. Also there are saved data about relations governed by law in real estate objects control, difficulties, servitudes, facts in law, hypothec. In that way, citizen properties rights to real estate are protect. Real estate cadastre and register system is effective in Lithuania. It is orientated to public and supported purpose of adaptation conception. In the research work analyzed registered houses and garden-houses numbers and connection between property and gardens-plots numbers plots. Other searching object was house and other purpose buildings number and density. All researches carry out in the year 2004-2005. In analyzed period was noticed, that the most registered was purpose of house buildings. This number of registered objects was almost 22,000 house buildings. In the mean time registration of garden-houses was very slow. Even 81 percentages of garden–plots was without registered garden-houses in the year 2005. Such situation was influence by many reasons. For example garden-houses is already used as house building.

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