Generalized synchronization in relay systems with instantaneous coupling

We demonstrate the existence of generalized synchronization in systems that act as mediators between two dynamical units that, in turn, show complete synchronization with each other. These are the so-called relay systems. Specifically, we analyze the Lyapunov spectrum of the full system to elucidate when complete and generalized synchronization appear. We show that once a critical coupling strength is achieved, complete synchronization emerges between the systems to be synchronized, and at the same point, generalized synchronization with the relay system also arises. Next, we use two nonlinear measures based on the distance between phase-space neighbors to quantify the generalized synchronization in discretized time series. Finally, we experimentally show the robustness of the phenomenon and of the theoretical tools here proposed to characterize it.

Noise-induced attractor annihilation in the delayed feedback logistic map

We study dynamics of the bistable logistic map with delayed feedback, under the influence of white Gaussian noise and periodic modulation applied to the variable. This system may serve as a model to describe population dynamics under finite resources in noisy environment with seasonal fluctuations. While a very small amount of noise has no effect on the global structure of the coexisting attractors in phase space, an intermediate noise totally eliminates one of the attractors. Slow periodic modulation enhances the attractor annihilation.

Propuesta de un modelo de sistema de información interorganizacional: aplicación en el sector de la domótica para la gestión de servicios del hogar digital

El sector de la edificación es uno de los principales sectores económicos en España y, además, es un componente básico de la actividad económica y social, debido a su importante papel como generador de empleo, proveedor de bienes e incentivador del crecimiento. Curiosamente, es uno de los sectores con menos regulación y organización y que, además, está formado mayoritariamente por empresas de pequeña y mediana dimensión (pymes) que, por su menor capacidad, a menudo, se quedan detrás de las grandes empresas en términos de adopción de soluciones innovadoras. La complejidad en la gestión de toda la información relacionada con un proyecto de edificación ha puesto de manifiesto claras ineficiencias que se traducen en un gasto innecesario bastante representativo. La información y los conocimientos aprendidos rara vez son transmitidos de una fase a otra dentro del proyecto de edificación y, mucho menos, reutilizados en otros proyectos similares. De este modo, no sólo se produce un gasto innecesario, sino que incluso podemos encontrar información contradictoria y obsoleta y, por tanto, inútil para la toma de decisiones. A lo largo de los años, esta situación ha sido motivada por la propia configuración del sector, poniendo de manifiesto la necesidad de una solución que pudiera solventar este reto de gestión interorganizacional. Así, la cooperación interorganizacional se ha convertido en un factor clave para mejorar la competitividad de las organizaciones, típicamente pymes, que componen el sector de la edificación. La información es la piedra angular de cualquier proceso de negocio. Durante la última década, una amplia gama de industrias han experimentado importantes mejoras de productividad con la aplicación eficiente de las TIC, asociadas, principalmente, a incrementos en la velocidad de proceso de información y una mayor coherencia en la generación de datos, accesibilidad e intercambio de información. La aplicación eficaz de las TIC en el sector de la edificación requiere una combinación de aspectos estratégicos y tácticos, puesto que no sólo se trata de utilizar soluciones puntuales importadas de otros sectores para su aplicación en diferentes áreas, sino que se buscaría que la información multi-agente estuviera integrada y sea coherente para los proyectos de edificación. El sector de la construcción ha experimentado un descenso significativo en los últimos años en España y en Europa como resultado de la crisis financiera que comenzó en 2007. Esta disminución está acompañada de una baja penetración de las TIC en la interorganizacionales orientadas a los procesos de negocio. El descenso del mercado ha provocado una desaceleración en el sector de la construcción, donde sólo las pymes flexibles han sido capaces de mantener el ritmo a pesar de la especialización y la innovación en los servicios adaptados a las nuevas demandas del mercado. La industria de la edificación está muy fragmentada en comparación con otras industrias manufactureras. El alto grado de esta fragmentación está íntimamente relacionado con un impacto significativo en la productividad y el rendimiento. Muchos estudios de investigación han desarrollado y propuesto una serie de modelos de procesos integrados. Por desgracia, en la actualidad todavía no se está en condiciones para la formalización de cómo debe ser la comunicación y el intercambio de información durante el proceso de construcción. El paso del proceso secuencial tradicional a los procesos de interdependencia recíproca sin lugar a duda son una gran demanda asociada a la comunicación y el flujo de información en un proyecto de edificación. Recientemente se está poniendo mucho énfasis en los servicios para el hogar como un primer paso hacia esta mejora en innovación ya que la industria de los servicios digitales interactivos tiene un alto potencial para generar innovación y la ventaja estratégica para las empresas existentes. La multiplicidad de servicios para el hogar digital (HD) y los proveedores de servicios demandan, cada vez más, la aparición de una plataforma capaz de coordinar a todos los agentes del sector con el usuario final. En consecuencia, las estructuras organizacionales tienden a descentralizarse en busca de esa coordinación y, como respuesta a esta demanda, se plantea, también en este ámbito, el concepto de cooperación interorganizacional. Por lo tanto, ambos procesos de negocio -el asociado a la construcción y el asociado a la provisión de servicios del hogar digital, también considerado como la propia gestión de ese hogar digital o edificio, inteligente o no- deben de ser vistos en su conjunto mediante una plataforma tecnológica que les dé soporte y que pueda garantizar la agregación e integración de los diversos procesos, relacionados con la construcción y gestión, que se suceden durante el ciclo de vida de un edificio. Sobre esta idea y atendiendo a la evolución permanente de los sistemas de información en un entorno de interrelación y cooperación daría lugar a una aplicación del concepto de sistema de información interorganizacional (SIIO). El SIIO proporciona a las organizaciones la capacidad para mejorar los vínculos entre los socios comerciales a lo largo de la cadena de suministro, por lo que su importancia ha sido reconocida por organizaciones de diversos sectores. Sin embargo, la adopción de un SIIO en diferentes ámbitos ha demostrado ser complicada y con una alta dependencia de las características particulares de cada sector, siendo, en este momento, una línea de investigación abierta. Para contribuir a esta línea de investigación, este trabajo pretende recoger, partiendo de una revisión de la literatura relacionada, un enfoque en un modelo de adopción de un SIIO para el objeto concreto de esta investigación. El diseño de un SIIO está basado principalmente, en la identificación de las necesidades de información de cada uno de sus agentes participantes, de ahí la importancia en concretar un modelo de SIIO en el ámbito de este trabajo. Esta tesis doctoral presenta el modelo de plataforma virtual de la asociación entre diferentes agentes del sector de la edificación, el marco de las relaciones, los flujos de información correspondientes a diferentes procesos y la metodología que subyace tras el propio modelo, todo ello, con el objeto de contribuir a un modelo unificado que dé soporte tanto a los procesos relacionados con la construcción como con la gestión de servicios en el hogar digital y permitiendo cubrir los requisitos importantes que caracterizan este tipo de proyectos: flexibilidad, escalabilidad y robustez. El SIIO se ha convertido en una fuente de innovación y una herramienta estratégica que permite a las pymes obtener ventajas competitivas. Debido a la complejidad inherente de la adopción de un SIIO, esta investigación extiende el modelo teórico de adopción de un SIIO de Kurnia y Johnston (2000) con un modelo empírico para la caracterización de un SIIO. El modelo resultante tiene como objetivo fomentar la innovación de servicios en el sector mediante la identificación de los factores que influyen en la adopción de un SIIO por las pymes en el sector de la edificación como fuente de ventaja competitiva y de colaboración. Por tanto, esta tesis doctoral, proyectada sobre una investigación empírica, proporciona un enfoque para caracterizar un modelo de SIIO que permita dar soporte a la gestión integrada de los procesos de construcción y gestión de servicios para el hogar digital. La validez del modelo de SIIO propuesto, como fuente y soporte de ventajas competitivas, está íntimamente relacionada con la necesidad de intercambio de información rápido y fiable que demandan los agentes del sector para mejorar la gestión de su interrelación y cooperación con el fin de abordar proyectos más complejos en el sector de la edificación, relacionados con la implantación del hogar digital, y contribuyendo, así a favorecer el desarrollo de la sociedad de la información en el segmento residencial. ABSTRACT The building industry is the largest industry in the world. Land purchase, building design, construction, furnishing, building equipment, operations maintenance and the disposition of real estate have an unquestionable prominence not only at economic but also at social level. In Spain, the building sector is one of the main drivers of economy and also a basic component of economic activity and its role in generating employment, supply of goods or incentive for growth is crucial in the evolution of the economy. Surprisingly, it is one of the sectors with less regulation and organization. Another consistent problem is that, in this sector, the majority of companies are small and medium (SMEs), and often behind large firms in terms of their adoption of innovative solutions. The complexity of managing all information related to this industry has lead to a waste of money and time. The information and knowledge gathered is frequently stored in multiple locations, involving the work of thousands of people, and is rarely transferred on to the next phase. This approach is inconsistent and makes that incorrect information is used for decisions. This situation needs a viable solution for interorganizational information management. So, interorganizational co-operation has become a key factor for organization competitiveness within the building sector. Information is the cornerstone of any business process. Therefore, information and communication technologies (ICT) offer a means to change the way business is conducted. During the last decade, significant productivity improvements were experienced by a wide range of industries with ICT implementation. ICT has provided great advantages in speed of operation, consistency of data generation, accessibility and exchange of information. The wasted money resulting from reentering information, errors and omissions caused through poor decisions and actions, and the delays caused while waiting for information, represent a significant percentage of the global benefits. The effective application of ICT in building construction sector requires a combination of strategic and tactical developments. The building sector has experienced a significant decline in recent years in Spain and in Europe as a result of the financial crisis that began in 2007. This drop goes hand in hand with a low penetration of ICT in inter-organizational-oriented business processes. The market decrease has caused a slowdown in the building sector, where only flexible SMEs have been able to keep the pace though specialization and innovation in services adapted to new market demands. The building industry is highly fragmented compared with other manufacturing industries. This fragmentation has a significant negative impact on productivity and performance. Many research studies have developed and proposed a number of integrated process models. Unfortunately, these studies do not suggest how communication and information exchange within the construction process can be achieved, without duplication or lost in quality. A change from the traditional sequential process to reciprocal interdependency processes would increase the demand on communication and information flow over the edification project. Focusing on home services, the digital interactive service industry has the potential to generate innovation and strategic advantage for existing business. Multiplicity of broadband home services (BHS) and suppliers suggest the need for a figure able to coordinate all the agents in sector with the final user. Consequently, organizational structures tend to be decentralized. Responding to this fact, the concept of interorganizational co-operation also is raising in the residential market. Therefore, both of these business processes, building and home service supply, must be complemented with a technological platform that supports these processes and guarantees the aggregation and integration of the several services over building lifecycle. In this context of a technological platform and the permanent evolution of information systems is where the relevance of the concept of inter-organizational information system (IOIS) emerges. IOIS improves linkages between trading partners along the supply chain. However, IOIS adoption has proved to be difficult and not fully accomplished yet. This research reviews the literature in order to focus a model of IOIS adoption. This PhD Thesis presents a model of virtual association, a framework of the relationships, an identification of the information requirements and the corresponding information flows, using the multi-agent system approach. IOIS has become a source of innovation and a strategic tool for SMEs to obtain competitive advantage. Because of the inherent complexity of IOIS adoption, this research extends Kurnia and Johnston’s (2000) theoretical model of IOIS adoption with an empirical model of IOIS characterization. The resultant model aims to foster further service innovation in the sector by identifying the factors influencing IOIS adoption by the SMEs in the building sector as a source of competitive and collaborative advantage. Therefore, this PhD Thesis characterizes an IOIS model to support integrated management of building processes and home services. IOIS validity, as source and holder of competitive advantages, is related to the need for reliable information interchanges to improve interrelationship management. The final goal is to favor tracking of more complex projects in building sector and to contribute to consolidation of the information society through the provision of broadband home services and home automation.

Characterizing chaos in a type of fractional duffing's equation

We characterize the chaos in a fractional Duffing’s equation computing the Lyapunov exponents and the dimension of the strange attractor in the effective phase space of the system. We develop a specific analytical method to estimate all Lyapunov exponents and check the results with the fiduciary orbit technique and a time series estimation method.

Multi-distributed wireless sensors for monitoring a long distance transport in a reefer container

The study of the temperature gradients in cold stores and containers is a critical issue in the food industry for the quality assurance of products during transport and for minimising losses. This work presents an analysis of the temperatures during the refrigerated transport of 4,320 kg of blueberries in a reefer (set point temperature at ?1ºC) on a container ship from Montevideo (Uruguay) to Verona (Italy). The monitoring was performed by using semi-passive RFID loggers (TurboTag cards). The objective was to carry out a multi-distributed supervision using low-cost, wireless and autonomous sensors for the characterisation of the distribution and spatial gradients of temperatures during a long distance transport. Data analysis shows spatial (phase space) and temporal sequencing diagrams and reveals a significant heterogeneity of temperature at different locations in the container, which highlights the ineffectiveness of a temperature control system based on a single sensor, as is usually done.

Convex polytopes and quantization of symplectic manifolds

Quantum mechanics associate to some symplectic manifolds M a quantum model Q(M), which is a Hilbert space. The space Q(M) is the quantum mechanical analogue of the classical phase space M. We discuss here relations between the volume of M and the dimension of the vector space Q(M). Analogues for convex polyhedra are considered.

Dynamical hierarchy in transition states: Why and how does a system climb over the mountain?

How a reacting system climbs through a transition state during the course of a reaction has been an intriguing subject for decades. Here we present and quantify a technique to identify and characterize local invariances about the transition state of an N-particle Hamiltonian system, using Lie canonical perturbation theory combined with microcanonical molecular dynamics simulation. We show that at least three distinct energy regimes of dynamical behavior occur in the region of the transition state, distinguished by the extent of their local dynamical invariance and regularity. Isomerization of a six-atom Lennard–Jones cluster illustrates this: up to energies high enough to make the system manifestly chaotic, approximate invariants of motion associated with a reaction coordinate in phase space imply a many-body dividing hypersurface in phase space that is free of recrossings even in a sea of chaos. The method makes it possible to visualize the stable and unstable invariant manifolds leading to and from the transition state, i.e., the reaction path in phase space, and how this regularity turns to chaos with increasing total energy of the system. This, in turn, illuminates a new type of phase space bottleneck in the region of a transition state that emerges as the total energy and mode coupling increase, which keeps a reacting system increasingly trapped in that region.

Multicomponent diffusion in polymeric liquids.

It is shown how the phase-space kinetic theory of polymeric liquid mixtures leads to a set of extended Maxwell-Stefan equations describing multicomponent diffusion. This expression reduces to standard results for dilute solutions and for undiluted polymers. The polymer molecules are modeled as flexible bead-spring structures. To obtain the Maxwell-Stefan equations, the usual expression for the hydrodynamic drag force on a bead, used in previous kinetic theories, must be replaced by a new expression that accounts explicitly for bead-bead interactions between different molecules.

A sampling problem in molecular dynamics simulations of macromolecules.

Correlations in low-frequency atomic displacements predicted by molecular dynamics simulations on the order of 1 ns are undersampled for the time scales currently accessible by the technique. This is shown with three different representations of the fluctuations in a macromolecule: the reciprocal space of crystallography using diffuse x-ray scattering data, real three-dimensional Cartesian space using covariance matrices of the atomic displacements, and the 3N-dimensional configuration space of the protein using dimensionally reduced projections to visualize the extent to which phase space is sampled.

Modelos de mapas simpléticos para o movimento de deriva elétrica com efeitos de raio de Larmor finito

Mapas simpléticos têm sido amplamente utilizados para modelar o transporte caótico em plasmas e fluidos. Neste trabalho, propomos três tipos de mapas simpléticos que descrevem o movimento de deriva elétrica em plasmas magnetizados. Efeitos de raio de Larmor finito são incluídos em cada um dos mapas. No limite do raio de Larmor tendendo a zero, o mapa com frequência monotônica se reduz ao mapa de Chirikov-Taylor, e, nos casos com frequência não-monotônica, os mapas se reduzem ao mapa padrão não-twist. Mostramos como o raio de Larmor finito pode levar à supressão de caos, modificar a topologia do espaço de fases e a robustez de barreiras de transporte. Um método baseado na contagem dos tempos de recorrência é proposto para analisar a influência do raio de Larmor sobre os parâmetros críticos que definem a quebra de barreiras de transporte. Também estudamos um modelo para um sistema de partículas onde a deriva elétrica é descrita pelo mapa de frequência monotônica, e o raio de Larmor é uma variável aleatória que assume valores específicos para cada partícula do sistema. A função densidade de probabilidade para o raio de Larmor é obtida a partir da distribuição de Maxwell-Boltzmann, que caracteriza plasmas na condição de equilíbrio térmico. Um importante parâmetro neste modelo é a variável aleatória gama, definida pelo valor da função de Bessel de ordem zero avaliada no raio de Larmor da partícula. Resultados analíticos e numéricos descrevendo as principais propriedades estatísticas do parâmetro gama são apresentados. Tais resultados são então aplicados no estudo de duas medidas de transporte: a taxa de escape e a taxa de aprisionamento por ilhas de período um.

A Kinetic Vlasov Model for Plasma Simulation Using Discontinuous Galerkin Method on Many-Core Architectures

Thesis (Ph.D.)--University of Washington, 2016-03

Gaussian quantum operator representation for bosons

We introduce a Gaussian quantum operator representation, using the most general possible multimode Gaussian operator basis. The representation unifies and substantially extends existing phase-space representations of density matrices for Bose systems and also includes generalized squeezed-state and thermal bases. It enables first-principles dynamical or equilibrium calculations in quantum many-body systems, with quantum uncertainties appearing as dynamical objects. Any quadratic Liouville equation for the density operator results in a purely deterministic time evolution. Any cubic or quartic master equation can be treated using stochastic methods.

Experimental tests of quantum nonlinear dynamics in atom optics

Cold atoms in optical potentials provide an ideal test bed to explore quantum nonlinear dynamics. Atoms are prepared in a magneto-optic trap or as a dilute Bose-Einstein condensate and subjected to a far detuned optical standing wave that is modulated. They exhibit a wide range of dynamics, some of which can be explained by classical theory while other aspects show the underlying quantum nature of the system. The atoms have a mixed phase space containing regions of regular motion which appear as distinct peaks in the atomic momentum distribution embedded in a sea of chaos. The action of the atoms is of the order of Planck's constant, making quantum effects significant. This tutorial presents a detailed description of experiments measuring the evolution of atoms in time-dependent optical potentials. Experimental methods are developed providing means for the observation and selective loading of regions of regular motion. The dependence of the atomic dynamics on the system parameters is explored and distinct changes in the atomic momentum distribution are observed which are explained by the applicable quantum and classical theory. The observation of a bifurcation sequence is reported and explained using classical perturbation theory. Experimental methods for the accurate control of the momentum of an ensemble of atoms are developed. They use phase space resonances and chaotic transients providing novel ensemble atomic beamsplitters. The divergence between quantum and classical nonlinear dynamics is manifest in the experimental observation of dynamical tunnelling. It involves no potential barrier. However a constant of motion other than energy still forbids classically this quantum allowed motion. Atoms coherently tunnel back and forth between their initial state of oscillatory motion and the state 180 out of phase with the initial state.

Quantum dynamics with stochastic gauge simulations

The general idea of a stochastic gauge representation is introduced and compared with more traditional phase-space expansions, like the Wigner expansion. Stochastic gauges can be used to obtain an infinite class of positive-definite stochastic time-evolution equations, equivalent to master equations, for many systems including quantum time evolution. The method is illustrated with a variety of simple examples ranging from astrophysical molecular hydrogen production, through to the topical problem of Bose-Einstein condensation in an optical trap and the resulting quantum dynamics.

Non-positivity of Groenewold operators

A central feature in the Hilbert space formulation of classical mechanics is the quantisation of classical Lionville densities, leading to what may be termed Groenewold operators. We investigate the spectra of the Groenewold operators that correspond to Gaussian and to certain uniform Lionville densities. We show that when the classical coordinate-momentum uncertainty product falls below Heisenberg's limit, the Groenewold operators in the Gaussian case develop negative eigenvalues and eigenvalues larger than 1. However, in the uniform case, negative eigenvalues are shown to persist for arbitrarily large values of the classical uncertainty product.