TY - THES A1 - Fischer, Jost T1 - Über Synchronisationsphänomene nichtlinearer akustischer Oszillatoren T1 - About synchronization phenomena of nonlinear acoustic oscillators N2 - In dieser Arbeit werden die Effekte der Synchronisation nichtlinearer, akustischer Oszillatoren am Beispiel zweier Orgelpfeifen untersucht. Aus vorhandenen, experimentellen Messdaten werden die typischen Merkmale der Synchronisation extrahiert und dargestellt. Es folgt eine detaillierte Analyse der Übergangsbereiche in das Synchronisationsplateau, der Phänomene während der Synchronisation, als auch das Austreten aus der Synchronisationsregion beider Orgelpfeifen, bei verschiedenen Kopplungsstärken. Die experimentellen Befunde werfen Fragestellungen nach der Kopplungsfunktion auf. Dazu wird die Tonentstehung in einer Orgelpfeife untersucht. Mit Hilfe von numerischen Simulationen der Tonentstehung wird der Frage nachgegangen, welche fluiddynamischen und aero-akustischen Ursachen die Tonentstehung in der Orgelpfeife hat und inwiefern sich die Mechanismen auf das Modell eines selbsterregten akustischen Oszillators abbilden lässt. Mit der Methode des Coarse Graining wird ein Modellansatz formuliert. N2 - In this study, synchronization properties observed in a system of nonlinear acoustic oscillators in form of two coupled organ pipes are investigated. From given measurements we extract the effects of synchronization one would expect typically. Furthermore we set our focus to the domains of transition into the synchronization region, when the system is complete synchronized and when it tears off, under the condition of different coupling strengths. We analyze and discuss the observed phenomena concerning their nonlinearities. Using numerical, fluid-dynamic and aeroacoustic simulation techniques we investigate how an organ pipe can be understand as a self-sustained, acoustic oscillator. With the results of the numerical simulations we show, how to reduce the complex fluid-dynamical interplay with the acoustic field inside the pipe to a self-sustained acoustic oscillator. For this process we use the coarse graining method. KW - Physik KW - Synchronisation KW - Orgelpfeife KW - nichtlinear KW - Akustik KW - physics KW - synchronization KW - organ pipe KW - nonlinear KW - acoustics Y1 - 2012 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-63618 ER - TY - THES A1 - Niedl, Robert Raimund T1 - Nichtlineare Kinetik und responsive Hydrogele für papierbasierte Schnelltestanwendungen T1 - Nonlinear kinetics and responsive hydrogels for paperbased point-of-care diagnostics N2 - Viele klinische Schnelltestsysteme benötigen vorpräparierte oder aufgereinigte Analyte mit frisch hergestellten Lösungen. Fernab standardisierter Laborbedingungen wie z.B. in Entwicklungsländern oder Krisengebieten sind solche Voraussetzungen oft nur unter einem hohen Aufwand herstellbar. Zusätzlich stellt die erforderliche Sensitivität die Entwicklung einfach zu handhabender Testsysteme vor große Herausforderungen. Autokatalytische Reaktionen, die sich mit Hilfe sehr geringer Initiatorkonzentrationen auslösen lassen, können hier eine Perspektive für Signalverstärkungsprozesse bieten. Aus diesem Grund wird im ersten Teil der vorliegenden Arbeit das Verhalten der autokatalytischen Arsenit-Jodat-Reaktion in einem mikrofluidischen Kanal untersucht. Dabei werden insbesondere die diffusiven und konvektiven Einflüsse auf die Reaktionskinetik im Vergleich zu makroskopischen Volumenmengen betrachtet. Im zweiten Teil werden thermoresponsive Hydrogele mit einem kanalstrukturierten Papiernetzwerk zu einem neuartigen, kapillargetriebenen, extern steuerbaren Mikrofluidik-System kombiniert. Das hier vorgestellte Konzept durch Hydrogele ein papierbasiertes LOC-System zu steuern, ermöglicht zukünftig die Herstellung von komplexeren, steuerbaren Point-Of-Care Testsystemen (POCT). Durch z.B. einen thermischen Stimulus, wird das Lösungsverhalten eines Hydrogels so verändert, dass die gespeicherte Flüssigkeit freigesetzt und durch die Kapillarkraft des Papierkanals ins System transportiert wird. Die Eigenschaften dieses Gelnetzwerks können dabei so eingestellt werden, dass eine Freisetzung von Flüssigkeiten sogar bei Körpertemperatur möglich wäre und damit eine Anwendung gänzlich ohne weitere Hilfsmittel denkbar ist. Für die Anwendung notwendige Chemikalien oder Enzyme lassen sich hierbei bequem in getrocknetem Zustand im Papiersubstrat vorlagern und bei Bedarf in Lösung bringen. Im abschließenden dritten Teil der Arbeit wird ein durch Hydrogele betriebener, Antikörper-basierter Mikroorganismenschnelltest für Escherichia coli präsentiert. Darüber hinaus wird weiterführend eine einfache Methode zur Funktionalisierung eines Hydrogels mit Biomolekülen über EDC/NHS-Kopplung vorgestellt. N2 - Many test systems for clinical applications require well-prepared or purified analytes. Far away from a laboratory environment, for example in developing countries or crisis regions, such prerequisites are often difficult to establish. Furthermore, the required sensitivity poses a considerable challenge for the development of easy-to-use test systems. . Autocatalytic reactions, which are which are highly sensitive to small initiator concentrations, may offer promising solutions to this problem. For this reason, in the first part of this thesis, the behavior of the autocatalytic arsenit-iodate-clock reaction is studied in a microfluidic environment. Especially the influence of diffusive and convective effects on the kinetics of the reaction were examined and compared to reaction conditions in macroscopic volumes. In the second part thermoresponsive hydrogels and a microstructured papersubstrate are combined to a externally controllable, new microfluidic system driven by capillary force. This offers new opportunities to integrate more complex analytic procedures in small point-of-care devices. For example, initiated by a thermal stimulus, the solubility of the hydrogel network is changed, so that the stored liquid is released and transported into the paper device, driven by capillary forces. The properties of thermoresponsive hydrogels can be tuned in such a way that the liquid release is triggered already by body temperature, so that no pumps or tubings are required anymore for usage. Furthermore chemicals and enzymes can be stored in the paper channels under dried conditions for a long time. Upon operation of the device, they can be taken up by the liquid released from the hydrogel reservoirs when needed. Finally, in the third part of this work, a rapid, easy-to-use hydrogel-driven test system for Escherichia coli is presented, based on an antibody assay. Futhermore a simple method for biofunctionalization of a hydrogel of a hydrogel based on EDC/NHS coupling will be introduced. KW - Hydrogel KW - papierbasiert KW - Mikrofluidik KW - HPµF KW - POCT KW - Pathogenerkennung KW - thermoresponsive KW - hydrogel KW - paperbased KW - POCT KW - nonlinear KW - chemical clock KW - biomolecule KW - functionalization Y1 - 2015 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-77735 ER - TY - JOUR A1 - Breit, Moritz Lion A1 - Brunner, Martin A1 - Preckel, Franzis T1 - General intelligence and specific cognitive abilities in adolescence BT - tests of age differentiation, ability differentiation, and their interaction in two large samples JF - Developmental psychology N2 - Differentiation of intelligence refers to changes in the structure of intelligence that depend on individuals' level of general cognitive ability (ability differentiation hypothesis) or age (developmental differentiation hypothesis). The present article aimed to investigate ability differentiation, developmental differentiation, and their interaction with nonlinear factor analytic models in 2 studies. Study 1 was comprised of a nationally representative sample of 7,127 U.S. students (49.4% female; M-age = 14.51, SD = 1.42, range = 12.08-17.00) who completed the computerized adaptive version of the Armed Service Vocational Aptitude Battery. Study 2 analyzed the norming sample of the Berlin Intelligence Structure Test with 1,506 German students (44% female; M-age = 14.54, SD = 1.35, range = 10.00-18.42). Results of Study 1 supported the ability differentiation hypothesis but not the developmental differentiation hypothesis. Rather, the findings pointed to age-dedifferentiation (i.e., higher correlations between different abilities with increasing age). There was evidence for an interaction between age and ability differentiation, with greater ability differentiation found for older adolescents. Study 2 provided little evidence for ability differentiation but largely replicated the findings for age dedifferentiation and the interaction between age and ability differentiation. The present results provide insight into the complex dynamics underlying the development of intelligence structure during adolescence. Implications for the assessment of intelligence are discussed. KW - intelligence KW - ability differentiation KW - age differentiation KW - nonlinear KW - factor analysis KW - adolescence Y1 - 2020 U6 - https://doi.org/10.1037/dev0000876 SN - 0012-1649 SN - 1939-0599 VL - 56 IS - 2 SP - 364 EP - 384 PB - American Psychological Association CY - Washington ER - TY - GEN A1 - Wiljes, Jana de A1 - Tong, Xin T. T1 - Analysis of a localised nonlinear ensemble Kalman Bucy filter with complete and accurate observations T2 - Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe N2 - Concurrent observation technologies have made high-precision real-time data available in large quantities. Data assimilation (DA) is concerned with how to combine this data with physical models to produce accurate predictions. For spatial-temporal models, the ensemble Kalman filter with proper localisation techniques is considered to be a state-of-the-art DA methodology. This article proposes and investigates a localised ensemble Kalman Bucy filter for nonlinear models with short-range interactions. We derive dimension-independent and component-wise error bounds and show the long time path-wise error only has logarithmic dependence on the time range. The theoretical results are verified through some simple numerical tests. T3 - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 1221 KW - data assimilation KW - stability and accuracy KW - dimension independent bound KW - localisation KW - high dimensional KW - filter KW - nonlinear Y1 - 2022 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-540417 SN - 1866-8372 VL - 33 IS - 9 SP - 4752 EP - 4782 PB - IOP Publ. CY - Bristol ER - TY - JOUR A1 - Wiljes, Jana de A1 - Tong, Xin T. T1 - Analysis of a localised nonlinear ensemble Kalman Bucy filter with complete and accurate observations JF - Nonlinearity N2 - Concurrent observation technologies have made high-precision real-time data available in large quantities. Data assimilation (DA) is concerned with how to combine this data with physical models to produce accurate predictions. For spatial-temporal models, the ensemble Kalman filter with proper localisation techniques is considered to be a state-of-the-art DA methodology. This article proposes and investigates a localised ensemble Kalman Bucy filter for nonlinear models with short-range interactions. We derive dimension-independent and component-wise error bounds and show the long time path-wise error only has logarithmic dependence on the time range. The theoretical results are verified through some simple numerical tests. KW - data assimilation KW - stability and accuracy KW - dimension independent bound KW - localisation KW - high dimensional KW - filter KW - nonlinear Y1 - 2020 U6 - https://doi.org/10.1088/1361-6544/ab8d14 SN - 0951-7715 SN - 1361-6544 VL - 33 IS - 9 SP - 4752 EP - 4782 PB - IOP Publ. CY - Bristol ER - TY - JOUR A1 - Esfahani, Reza Dokht Dolatabadi A1 - Gholami, Ali A1 - Ohrnberger, Matthias T1 - An inexact augmented Lagrangian method for nonlinear dispersion-curve inversion using Dix-type global linear approximation JF - Geophysics : a journal of general and applied geophysics N2 - Dispersion-curve inversion of Rayleigh waves to infer subsurface shear-wave velocity is a long-standing problem in seismology. Due to nonlinearity and ill-posedness, sophisticated regularization techniques are required to solve the problem for a stable velocity model. We have formulated the problem as a minimization problem with nonlinear operator constraint and then solve it by using an inexact augmented Lagrangian method, taking advantage of the Haney-Tsai Dix-type relation (a global linear approximation of the nonlinear forward operator). This replaces the original regularized nonlinear problem with iterative minimization of a more tractable regularized linear problem followed by a nonlinear update of the phase velocity (data) in which the update can be performed accurately with any forward modeling engine, for example, the finite-element method. The algorithm allows discretizing the medium with thin layers (for the finite-element method) and thus omitting the layer thicknesses from the unknowns and also allows incorporating arbitrary regularizations to shape the desired velocity model. In this research, we use total variation regularization to retrieve the shear-wave velocity model. We use two synthetic and two real data examples to illustrate the performance of the inversion algorithm with total variation regularization. We find that the method is fast and stable, and it converges to the solution of the original nonlinear problem. KW - surface wave KW - nonlinear KW - inversion KW - modeling KW - finite element Y1 - 2020 U6 - https://doi.org/10.1190/geo2019-0717.1 SN - 0016-8033 SN - 1942-2156 VL - 85 IS - 3 SP - EN77 EP - EN85 PB - GeoScienceWorld CY - Tulsa, Okla. ER -