Chaos and crises in a model for cooperative hunting: A symbolic dynamics approach

In this work we investigate the population dynamics of cooperative hunting extending the McCann and Yodzis model for a three-species food chain system with a predator, a prey, and a resource species. The new model considers that a given fraction sigma of predators cooperates in prey's hunting, while the rest of the population 1-sigma hunts without cooperation. We use the theory of symbolic dynamics to study the topological entropy and the parameter space ordering of the kneading sequences associated with one-dimensional maps that reproduce significant aspects of the dynamics of the species under several degrees of cooperative hunting. Our model also allows us to investigate the so-called deterministic extinction via chaotic crisis and transient chaos in the framework of cooperative hunting. The symbolic sequences allow us to identify a critical boundary in the parameter spaces (K, C-0) and (K, sigma) which separates two scenarios: (i) all-species coexistence and (ii) predator's extinction via chaotic crisis. We show that the crisis value of the carrying capacity K-c decreases at increasing sigma, indicating that predator's populations with high degree of cooperative hunting are more sensitive to the chaotic crises. We also show that the control method of Dhamala and Lai [Phys. Rev. E 59, 1646 (1999)] can sustain the chaotic behavior after the crisis for systems with cooperative hunting. We finally analyze and quantify the inner structure of the target regions obtained with this control method for wider parameter values beyond the crisis, showing a power law dependence of the extinction transients on such critical parameters.

Symbolic Knowledge Extraction from Trained Neural Networks Governed by Lukasiewicz Logics

This work describes a methodology to extract symbolic rules from trained neural networks. In our approach, patterns on the network are codified using formulas on a Lukasiewicz logic. For this we take advantage of the fact that every connective in this multi-valued logic can be evaluated by a neuron in an artificial network having, by activation function the identity truncated to zero and one. This fact simplifies symbolic rule extraction and allows the easy injection of formulas into a network architecture. We trained this type of neural network using a back-propagation algorithm based on Levenderg-Marquardt algorithm, where in each learning iteration, we restricted the knowledge dissemination in the network structure. This makes the descriptive power of produced neural networks similar to the descriptive power of Lukasiewicz logic language, minimizing the information loss on the translation between connectionist and symbolic structures. To avoid redundance on the generated network, the method simplifies them in a pruning phase, using the "Optimal Brain Surgeon" algorithm. We tested this method on the task of finding the formula used on the generation of a given truth table. For real data tests, we selected the Mushrooms data set, available on the UCI Machine Learning Repository.

Symbolic dynamics and renormalization of non-autonomous k periodic dynamical systems

The purpose of this paper was to introduce the symbolic formalism based on kneading theory, which allows us to study the renormalization of non-autonomous periodic dynamical systems.

The extended unsymmetric frontal solution for multiple-point constraints

The purpose of this paper is to discuss the linear solution of equality constrained problems by using the Frontal solution method without explicit assembling. Design/methodology/approach - Re-written frontal solution method with a priori pivot and front sequence. OpenMP parallelization, nearly linear (in elimination and substitution) up to 40 threads. Constraints enforced at the local assembling stage. Findings - When compared with both standard sparse solvers and classical frontal implementations, memory requirements and code size are significantly reduced. Research limitations/implications - Large, non-linear problems with constraints typically make use of the Newton method with Lagrange multipliers. In the context of the solution of problems with large number of constraints, the matrix transformation methods (MTM) are often more cost-effective. The paper presents a complete solution, with topological ordering, for this problem. Practical implications - A complete software package in Fortran 2003 is described. Examples of clique-based problems are shown with large systems solved in core. Social implications - More realistic non-linear problems can be solved with this Frontal code at the core of the Newton method. Originality/value - Use of topological ordering of constraints. A-priori pivot and front sequences. No need for symbolic assembling. Constraints treated at the core of the Frontal solver. Use of OpenMP in the main Frontal loop, now quantified. Availability of Software.

Symbolic dynamics and big bang bifurcation in Weibull-Gompertz-Fréchet's growth models

In this paper, motivated by the interest and relevance of the study of tumor growth models, a central point of our investigation is the study of the chaotic dynamics and the bifurcation structure of Weibull-Gompertz-Fréchet's functions: a class of continuousdefined one-dimensional maps. Using symbolic dynamics techniques and iteration theory, we established that depending on the properties of this class of functions in a neighborhood of a bifurcation point PBB, in a two-dimensional parameter space, there exists an order regarding how the infinite number of periodic orbits are born: the Sharkovsky ordering. Consequently, the corresponding symbolic sequences follow the usual unimodal kneading sequences in the topological ordered tree. We verified that under some sufficient conditions, Weibull-Gompertz-Fréchet's functions have a particular bifurcation structure: a big bang bifurcation point PBB. This fractal bifurcations structure is of the so-called "box-within-a-box" type, associated to a boxe ω1, where an infinite number of bifurcation curves issues from. This analysis is done making use of fold and flip bifurcation curves and symbolic dynamics techniques. The present paper is an original contribution in the framework of the big bang bifurcation analysis for continuous maps.

Quantifying chaos for ecological stoichiometry

The theory of ecological stoichiometry considers ecological interactions among species with different chemical compositions. Both experimental and theoretical investigations have shown the importance of species composition in the outcome of the population dynamics. A recent study of a theoretical three-species food chain model considering stoichiometry [B. Deng and I. Loladze, Chaos 17, 033108 (2007)] shows that coexistence between two consumers predating on the same prey is possible via chaos. In this work we study the topological and dynamical measures of the chaotic attractors found in such a model under ecological relevant parameters. By using the theory of symbolic dynamics, we first compute the topological entropy associated with unimodal Poincareacute return maps obtained by Deng and Loladze from a dimension reduction. With this measure we numerically prove chaotic competitive coexistence, which is characterized by positive topological entropy and positive Lyapunov exponents, achieved when the first predator reduces its maximum growth rate, as happens at increasing delta(1). However, for higher values of delta(1) the dynamics become again stable due to an asymmetric bubble-like bifurcation scenario. We also show that a decrease in the efficiency of the predator sensitive to prey's quality (increasing parameter zeta) stabilizes the dynamics. Finally, we estimate the fractal dimension of the chaotic attractors for the stoichiometric ecological model.

XRCC3241 Polymorphism influence on genotoxicity biomarkers frequency in workers occupationaly exposed to formaldehyde

Formaldehyde (FA) is ubiquitous in the environment and is a chemical agent that possesses high reactivity. Occupational exposure to FA has been shown to induce nasopharyngeal cancer and has been classified as carcinogenic to humans (group 1) on the basis of sufficient evidence in humans and sufficient evidence in experimental animals. The exposure to this substance is epidemiologically linked to cancer and nuclear changes detected by the cytokinesis-block micronucleus test (CBMN). This method is extensively used in molecular epidemiology, since it determines several biomarkers of genotoxicity, such as micronucleus (biomarkers of chromosomes breakage or loss), nucleoplasmic bridges (biomarker of chromosome rearrangement, poor repair and / or telomeres fusion) and nuclear buds (biomarker of elimination of amplified DNA). The gene X-ray repair cross-complementing group 3 (XRCC3) is involved in homologous recombination repair of cross-links and chromosomal double-strand breaks and at least one polymorphism has been reported in codon 241, a substitution of a methionine for a threonine.

Evaluation of the influence of the ADH3 ILE349VAL polymorphism in the frequency of genotoxicity biomarkers in workers exposed to formaldehyde and tobacco smoking

Formaldehyde (FA) is a colourless gas widely used in the industry and hospitals as an aqueous solution, formalin. It is extremely reactive and induces various genotoxic effects in proliferating cultured mammalian cells. Tobacco smoke has been epidemiologically associated to a higher risk of development of cancer, especially in the oral cavity, larynx and lungs, as these are places of direct contact with many carcinogenic tobacco’s compounds. Genetic polymorphisms in enzymes involved in the metabolism are very important and can make changes in the individual susceptibility to disease. Alcohol dehydrogenase class 3 (ADH3), also known as formaldehyde dehydrogenase dependent of glutathione, is the major enzyme involved in the formaldehyde oxidation, especially in the buccal mucosa. The polymorphism in study is a substitution of an isoleucine for a valine in codon 349. The cytokinesis-blocked micronucleus assay (CBMN) in human lymphocytes is one of the most commonly used methods for measuring DNA damage, namely the detection of micronucleus, nucleoplasmic bridges, and nuclear buds, classified as genotoxicity biomarkers.

Durability performance of concrete made with fine recycled concrete aggregates

Fine recycled aggregates are seen as the last choice in recycling for concrete production. Many references quote their detrimental influence on the most important characteristics of concrete: compressive and tensile strength; modulus of elasticity; water absorption; shrinkage: carbonation and chloride penetration. These two last characteristics are fundamental in terms of the long-term durability of reinforced or prestressed concrete. In the experimental research carried out at IST, part of which has already been published, different concrete mixes (with increasing rates of substitution of fine natural aggregates sand - with fine recycled aggregates from crushed concrete) were prepared and tested. The results were then compared with those for a reference concrete with exactly the same composition and grading curve, but with no recycled aggregates. This paper presents the main results of this research for water absorption by immersion and capillarity, chloride penetration (by means of the chloride migration coefficient), and carbonation resistance, drawing some conclusions on the feasibility of using this type of aggregate in structural concrete, while taking into account any ensuing obvious positive environmental impact.

Modelização de um mecanismo de levitação supercondutor para um sistema de volante de inércia comercial

Este trabalho teve como objectivo o estudo de um sistema de levitação magnética com chumaceiras supercondutoras, para utilização numa fonte de alimentação de energia eléctrica ininterrupta, que usa um volante de inércia como sistema de armazenamento de energia. Partindo de um modelo comercial existente, foi modelizada a substituição do sistema de levitação por um sistema com chumaceiras supercondutoras. Foi feito o dimensionamento do magnete permanente e do supercondutor de forma a atingir-se a força de levitação magnética necessária para elevar o rotor da máquina, garantindo simultaneamente a máxima estabilidade do sistema. Os perfis de distribuição do campo magnético no volante de inércia foram modelizados recorrendo ao método dos elementos finitos, através da utilização do software Ansys. O cálculo da força de levitação foi efectuado recorrendo ao software MATHEMATICA.

Manual de utilização e manutenção de edifício

A manutenção periódica dos edifícios deve ser encarada como uma prática sustentável pois permite aumentar a vida útil dos edifícios e, consequentemente, a redução do consumo de recursos naturais e a criação de resíduos na indústria da construção. Não existe em Portugal uma prática corrente de manutenção programada e integral dos edifícios, especialmente dos pequenos edifícios de habitação. Pretende-se, com este trabalho de projecto, desenvolver um exemplo prático de manual de utilização e manutenção de um edifício de habitação unifamiliar. Primeiro, serão referenciados e caracterizados casos concretos, nacionais e internacionais, de manuais de utilização de edifícios com o respectivo enquadramento. Serão apresentados os projectos de licenciamento do edifício e elaborados planos complementares para identificação de órgãos e sistemas específicos, não previstos nos projectos de licenciamento. Será definida a durabilidade de cada material e elemento de construção, de forma a elaborar um plano de manutenção e substituição dos diversos elementos ao longo da vida útil do edifício. Serão determinadas as tarefas de manutenção periódica e o respectivo custo, que permitirá definir o custo total de manutenção e substituição de elementos ao longo da vida útil do edifício. Serão identificados os pontos críticos em termos de manutenção e os cuidados de segurança na utilização do edifício.

Measuring and Controlling the Chaotic Motion of Profits

The study of economic systems has generated deep interest in exploring the complexity of chaotic motions in economy. Due to important developments in nonlinear dynamics, the last two decades have witnessed strong revival of interest in nonlinear endogenous business chaotic models. The inability to predict the behavior of dynamical systems in the presence of chaos suggests the application of chaos control methods, when we are more interested in obtaining regular behavior. In the present article, we study a specific economic model from the literature. More precisely, a system of three ordinary differential equations gather the variables of profits, reinvestments and financial flow of borrowings in the structure of a firm. Firstly, using results of symbolic dynamics, we characterize the topological entropy and the parameter space ordering of kneading sequences, associated with one-dimensional maps that reproduce significant aspects of the model dynamics. The analysis of the variation of this numerical invariant, in some realistic system parameter region, allows us to quantify and to distinguish different chaotic regimes. Finally, we show that complicated behavior arising from the chaotic firm model can be controlled without changing its original properties and the dynamics can be turned into the desired attracting time periodic motion (a stable steady state or into a regular cycle). The orbit stabilization is illustrated by the application of a feedback control technique initially developed by Romeiras et al. [1992]. This work provides another illustration of how our understanding of economic models can be enhanced by the theoretical and numerical investigation of nonlinear dynamical systems modeled by ordinary differential equations.

Toplological Entropy in the Syncronization of Piecewise Linear and Monotone Maps. Coupled Duffing Oscillators

In this paper is presented a relationship between the synchronization and the topological entropy. We obtain the values for the coupling parameter, in terms of the topological entropy, to achieve synchronization of two unidirectional and bidirectional coupled piecewise linear maps. In addition, we prove a result that relates the synchronizability of two m-modal maps with the synchronizability of two conjugated piecewise linear maps. An application to the unidirectional and bidirectional coupled identical chaotic Duffing equations is given. We discuss the complete synchronization of two identical double-well Duffing oscillators, from the point of view of symbolic dynamics. Working with Poincare cross-sections and the return maps associated, the synchronization of the two oscillators, in terms of the coupling strength, is characterized.

Placas de OSB: investigação e estudo laboratorial das suas características de desempenho

A utilização de placas de OSB – Oriented Strand Board está em franca expansão no território nacional e parece ser uma alternativa ecológica e económica aos painéis de derivados de madeira normalmente usados. O OSB é obtido num processo de fabrico resultante da interacção de diversas variáveis, que conferem aos painéis uma vasta gama de aplicações estruturais ou não estruturais (paredes exteriores e interiores, pavimentos, coberturas, componentes de vigas, cofragens, embalagens, móveis, elementos de decoração, etc.). Neste trabalho pretendeu-se investigar, através de pesquisa bibliográfica as características das placas OSB assim como seu processo de fabrico e condicionantes existentes no seu decurso. Em seguida estas foram comparadas com os seus principais concorrentes, o contraplacado e o aglomerado de madeira e cimento. O trabalho experimental realizado teve como objectivo analisar as propriedades de OSB, proveniente do mercado nacional, de acordo com a EN 300:2006 e com os dados recolhidos na pesquisa bibliográfica. Foram executados ensaios de flexão (EN 310:2002), inchamento em espessura (EN 317:2002) e ensaios de flexão após envelhecimento (EN 321:2010). Concluiu-se que o OSB é um material com algumas características de destaque, no entanto a substituição de outros derivados de madeira por este deve ser acompanhada por estudos, principalmente em ambientes húmidos. É importante realçar que este possui modelos com características específicas para determinadas utilizações e ambientes que possibilitam uma optimização do seu comportamento, no entanto, nos ensaios realizados apenas foi utilizado um modelo base de OSB.

Acompanhamento dos trabalhos de construção de um hotel SANAHotels Amoreiras

Este trabalho final de mestrado baseou-se no acompanhamento da construção do hotel SANA Amoreiras, situado na Avenida Duarte Pacheco nº 12. O empreiteiro geral foi a empresa FDO Construções. Existindo também uma equipa de fiscalização, LMSA, contratada pelo Dono de Obra de forma a efectuar todo o controlo de qualidade. O TFM baseou-se no estágio efectuado para o Dono de obra do hotel onde fui devidamente acompanhada por uma engenheira, orientadora de estágio, que acompanhou de perto o desempenho da minha actividade. Esta função teve como objectivos a gestão de projecto de hotel, interligação entre projectistas e empreiteiro geral, bem prestar o devido acompanhamento de todos trabalhos a realizar. Acompanhei a realização de dois quartos modelo onde o objectivo do Dono de Obra foi testar as diversas soluções ao nível de revestimentos, sanitários, iluminação, mobiliário, decoração e outras soluções de arquitectura, soluções estas a implementar no hotel. Acompanhei também a realização de reuniões de compatibilização e coordenação de todos os projectos de especialidades com o projecto de arquitectura, nomeadamente Avac, Instalações eléctricas, Comunicações, Segurança, Águas, Esgotos, Gás, Incêndio, Cozinhas de forma a ser possível efectuar consultas aos empreiteiros e adjudicar todas estas empreitadas. Foi efectuada uma abordagem à descrição do hotel, suas características, indicação das razões que levaram à sua construção e descrição das várias empreitadas de construção realizadas até então, tal como, demolição, escavação, estrutura, acabamentos e especialidades.