Temporal fluctuations in coherence of brain waves.

As a measure of dynamical structure, short-term fluctuations of coherence between 0.3 and 100 Hz in the electroencephalogram (EEG) of humans were studied from recordings made by chronic subdural macroelectrodes 5-10 mm apart, on temporal, frontal, and parietal lobes, and from intracranial probes deep in the temporal lobe, including the hippocampus, during sleep, alert, and seizure states. The time series of coherence between adjacent sites calculated every second or less often varies widely in stability over time; sometimes it is stable for half a minute or more. Within 2-min samples, coherence commonly fluctuates by a factor up to 2-3, in all bands, within the time scale of seconds to tens of seconds. The power spectrum of the time series of these fluctuations is broad, extending to 0.02 Hz or slower, and is weighted toward the slower frequencies; little power is faster than 0.5 Hz. Some records show conspicuous swings with a preferred duration of 5-15s, either irregularly or quasirhythmically with a broad peak around 0.1 Hz. Periodicity is not statistically significant in most records. In our sampling, we have not found a consistent difference between lobes of the brain, subdural and depth electrodes, or sleeping and waking states. Seizures generally raise the mean coherence in all frequencies and may reduce the fluctuations by a ceiling effect. The coherence time series of different bands is positively correlated (0.45 overall); significant nonindependence extends for at least two octaves. Coherence fluctuations are quite local; the time series of adjacent electrodes is correlated with that of the nearest neighbor pairs (10 mm) to a coefficient averaging approximately 0.4, falling to approximately 0.2 for neighbors-but-one (20 mm) and to < 0.1 for neighbors-but-two (30 mm). The evidence indicates fine structure in time and space, a dynamic and local determination of this measure of cooperativity. Widely separated frequencies tending to fluctuate together exclude independent oscillators as the general or usual basis of the EEG, although a few rhythms are well known under special conditions. Broad-band events may be the more usual generators. Loci only a few millimeters apart can fluctuate widely in seconds, either in parallel or independently. Scalp EEG coherence cannot be predicted from subdural or deep recordings, or vice versa, and intracortical microelectrodes show still greater coherence fluctuation in space and time. Widely used computations of chaos and dimensionality made upon data from scalp or even subdural or depth electrodes, even when reproducible in successive samples, cannot be considered representative of the brain or the given structure or brain state but only of the scale or view (receptive field) of the electrodes used. Relevant to the evolution of more complex brains, which is an outstanding fact of animal evolution, we believe that measures of cooperativity are likely to be among the dynamic features by which major evolutionary grades of brains differ.

Order and disorder in fluid motion.

The development of complex states of fluid motion is illustrated by reviewing a series of experiments, emphasizing film flows, surface waves, and thermal convection. In one dimension, cellular patterns bifurcate to states of spatiotemporal chaos. In two dimensions, even ordered patterns can be surprisingly intricate when quasiperiodic patterns are included. Spatiotemporal chaos is best characterized statistically, and methods for doing so are evolving. Transport and mixing phenomena can also lead to spatial complexity, but the degree depends on the significance of molecular or thermal diffusion.

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.

Glacial geomorphology of the flank of the Hecates Tholus Volcano, Marrs

El volcán Hecates Tholus (32.18°N, 150.28ºE; cuadrante MC-7), de unos 180 km de diámetro y 5.300 metros de altura, es el único edificio de la provincia volcánica de Elysium, en las Tierras Bajas de Marte, en el que se han descrito rasgos geomorfológicos que podrían estar causados por procesos glaciares. Además, distintos autores relacionan la red radial de canales que surcan las laderas del volcán como causadas por la fusión de un antiguo casquete glaciar en la cima del edificio, siendo éste un ejemplo más de las intensas interacciones magma-agua en esta región del planeta, cercana al antiguo océano marciano y que dieron lugar a fenómenos muy interesantes, como los terrenos caóticos de Galaxias Chaos, a pocos kilómetros del volcán. Una característica muy particular de este edificio volcánico es la presencia de dos depresiones anidadas en la base de la ladera Noroeste, de 20 y 60 km de diámetro. La menor de ellas (Depresión A), situada a mayor altitud, ha sido interpretada por algunos autores como causada por una erupción lateral del volcán hace unos 350 Ma. Sin embargo, la de mayor diámetro y situada a menor altitud (Depresión B), no tiene un origen claro, aunque se han discutido distintas hipótesis. En cualquier caso, es especialmente en el interior de estas depresiones donde se han encontrado los rasgos geomorfológicos que podrían estar causados por actividad glacial, como posibles cordones morrénicos y depósitos de till...

Data analysis using circular causality in networks

Complex systems in causal relationships are known to be circular rather than linear; this means that a particular result is not produced by a single cause, but rather that both positive and negative feedback processes are involved. However, although interpreting systemic interrelationships requires a language formed by circles, this has only been developed at the diagram level, and not from an axiomatic point of view. The first difficulty encountered when analysing any complex system is that usually the only data available relate to the various variables, so the first objective was to transform these data into cause-and-effect relationships. Once this initial step was taken, our discrete chaos theory could be applied by finding the causal circles that will form part of the system attractor and allow their behavior to be interpreted. As an application of the technique presented, we analyzed the system associated with the transcription factors of inflammatory diseases.

Direct Visual Servoing Framework based on Optimal Control for Redundant Joint Structures

This paper presents a new framework based on optimal control to define new dynamic visual controllers to carry out the guidance of any serial link structure. The proposed general method employs optimal control to obtain the desired behaviour in the joint space based on an indicated cost function which determines how the control effort is distributed over the joints. The proposed approach allows the development of new direct visual controllers for any mechanical joint system with redundancy. Finally, authors show experimental results and verifications on a real robotic system for some derived controllers obtained from the control framework.

A Sociocybernetics Data Analysis Using Causality in Tourism Networks

The aim of this paper is to propose a mathematical model to determine invariant sets, set covering, orbits and, in particular, attractors in the set of tourism variables. Analysis was carried out based on a pre-designed algorithm and applying our interpretation of chaos theory developed in the context of General Systems Theory. This article sets out the causal relationships associated with tourist flows in order to enable the formulation of appropriate strategies. Our results can be applied to numerous cases. For example, in the analysis of tourist flows, these findings can be used to determine whether the behaviour of certain groups affects that of other groups and to analyse tourist behaviour in terms of the most relevant variables. Unlike statistical analyses that merely provide information on current data, our method uses orbit analysis to forecast, if attractors are found, the behaviour of tourist variables in the immediate future.

O imaginário das ilhas atlânticas no universo medieval islâmico-cristão

O pensamento cultural medieval aparece-nos como herdeiro da Antiguidade Clássica, da sua filosofia, ciência, arte e mitos. Todos estes conceitos traduzem-se com facilidade para as elites intelectuais cristãs e muçulmanas, que os conservam e integram em elementos da sua própria cultura. A ideia do mar, em especial o mar dito ‘aberto’ como o Oceano Atlântico, é marcada pelo maravilhoso. Em plena Idade Média o Oceano Atlântico surge como território de Caos, envolto em mistério. O Oceano Atlântico é local das mais variadas manifestações do fantástico. Desta forma, as ilhas atlânticas, contidas neste vasto oceano, são elas próprias impregnadas de um carácter maravilhoso. Tentaremos, ao longo desta dissertação de mestrado, abordar a questão das ilhas atlânticas e das suas características a nível de imaginário. Este exercício será feito, sempre que possível, fazendo o cruzamento de fontes de origem islâmica e de origem cristã. Desta maneira, surgirá uma imagem comum em relação ao imaginário do Oceano Atlântico e, em especial, das ilhas neste contidas. O objetivo principal deste trabalho é verdadeiramente demonstrar pontos de aproximação entre relatos e mapas, de origem cristã e islâmica, ligados a ilhas fantásticas e, ao mesmo tempo, reais. Veremos que as duas categorias, do real e do imaginário, sobrepõem-se diversas vezes, sendo que não se conseguem muitas vezes distinguir a nível das fontes. Desta forma, relatos de navegações atlânticas como a de São Brandão (de origem celto-cristã) ou a dos Aventureiros de Lisboa (originária no al-Andalus,) são reveladoras das atitudes e ideias na Idade Média em relação ao Atlântico e às suas ilhas.

Preparing for a post-Yanukovich Ukraine. CEPS Commentary, 3 February 2014

Surveying the political and economic problems that plague Ukraine today, Michael Emerson warns in this commentary that unless strong and sound fresh governance structures are immediately put into place, the political dynamics will lead to catastrophic radicalisation, chaos and conflict. He calls upon the EU, elected by the Ukrainian street as honorary sponsor of the EuroMaidan, to prepare for this contingency now, observing that emergency situations require emergency measures.

Demographic situation in Russia. OSW Study 24/2006

Throughout the history of Russia, periods of deep chaos have been accompanied by demographic crises. This was the case during the Time of Troubles, or Smutnoye Vremya, in the seventeenth century, and during the period of wars and revolutions in the early twentieth century, which brought the Bolsheviks to power. Similarly, the break-up of the USSR also coincided with a demographic crisis. However, while the previous crises had been caused by factors such as war, famine, epidemics or repressive policies, and were followed by periods of rapid population growth once these factors had ceased to operate, the current crisis is systemic and structural. To a large extent, it has been occasioned by cultural factors such as changing family models and the roles of women in today's society. In Russia, the effect of these factors on population increase is exacerbated by excessive alcohol consumption, an culture of inadequate working conditions which leads to many accidents at work, and healthcare deficiencies (only c. 3% of the GDP is spent on healthcare annually).

The EU and its Neighbours: Predictions for 2015. CEPS Commentary, 5 January 2015

Against a backdrop of chaos and violence in the EU’s neighbourhood, Steven Blockmans acknowledges that the troubles of 2014 will cast a long, dark shadow over 2015. In this new CEPS Commentary the author attempts to predict some of the EU foreign policy developments that are likely to mark the New Year.

The Greek economy is unlikely to benefit from further devaluation. CEPS Commentary, 3 July 2015

Martin Wolf offers an excellent analysis of how the Greek voter may feel about Sunday’s referendum.1 There is no good option: either be engulfed in the chaos following the rejection of the programme, exit and collapse of the economy or accept another programme.

Flashlight Europe N°2–February 2015. “Europe must now get involved in a very big way”

More than three years after al-Gaddafi was overthrown, Libya has still not returned to some semblance of normality. In many places, the Libyan state exists only on paper. No less than two governments and dozens of rival tribes, all with their own militias and armed to the teeth, are trying to come to power. In the midst of this chaos “IS,” the terrorist organization, has now entered the fray. Evidence of this is provided by the brutal murder of 21 Egyptian Copts, which could trigger off a civil war that will pose a threat to the entire region and to Europe. Mirco Keilberth, an expert on Libya, explains what is going on.

Shall Tunisia Succeed in Becoming a Strong Democratic State? EUSpring Arab Citizenship Review No. 13, December 2015

From the Introduction. Arab revolutions have sparked real hopes for democracy, but the situation varies from one state to another and change has taken various directions, with unpredictable outcomes in the future. In light of current events, most of these countries seem to have failed in their democratic transition and also face the dissolution of their state apparatus in bloody civil wars. This leaves the door open to interpretations associating democracy with chaos. In this view, preserving post-colonial states – authoritarian in most cases – is better than having no state at all. This partially justified the coup that took place in Egypt, where the ‘Deep State’ has recovered its capabilities in a dictatorial manner. The Arab world thus faced an impasse: the state is either stable but authoritarian or democratic yet threatened with dissolution. The dilemma results in an impossible choice between stable dictatorship or freedom ending in chaos.

Religious pamphlets

A collection of miscellaneous pamphlets on religion.