On the role of global flow instability analysis in closed loop flow control

Control of linear flow instabilities has been demonstrated to be an effective theoretical flow control methodology, capable of modifying transitional flows on canonical geometries such as the plane channel and the flat-plate boundary layer. Extending the well-developed theoretical flow control techniques to flows over or through complex geometries requires addressing the issue of efficient capturing of the leading members of the global eigenspectrum pertinent to such flows. The present contribution describes state-of-the-art modal global instability analysis methodologies recently developed in our group, based on matrix formation and time-stepping, respectively. The relative performance of these algorithms is assessed on the recovery of BiGlobal and TriGlobal eigenspectra in the spanwise periodic and the cubic lid-driven cavity, respectively; the adjoint eigenspectrum in the latter flow is recovered for the first time. For three-dimensional flows without any homogeneous spatial direction, the time-stepping methodology was found to outperform the matrix-forming approach and permit recovering the leading TriGlobal eigenmodes in an three-dimensional open cavity of aspect ratio L : D : W = 5 : 1 : 1; theoretical flow control of this configuration is underway.

Outreach Testing of Ancient Astronomy

This work is an outreach approach to an ubiquitous recent problem in secondary-school education: how to face back the decreasing interest in natural sciences shown by students under ‘pressure’ of convenient resources in digital devices/applications. The approach rests on two features. First, empowering of teen-age students to understand regular natural events around, as very few educated people they meet could do. Secondly, an understanding that rests on personal capability to test and verify experimental results from the oldest science, astronomy, with simple instruments as used from antiquity down to the Renaissance (a capability restricted to just solar and lunar motions). Because lengths in astronomy and daily life are so disparate, astronomy basically involved observing and registering values of angles (along with times), measurements being of two types, of angles on the ground and of angles in space, from the ground. First, the gnomon, a simple vertical stick introduced in Babylonia and Egypt, and then in Greece, is used to understand solar motion. The gnomon shadow turns around during any given day, varying in length and thus angle between solar ray and vertical as it turns, going through a minimum (noon time, at a meridian direction) while sweeping some angular range from sunrise to sunset. Further, the shadow minimum length varies through the year, with times when shortest and sun closest to vertical, at summer solstice, and times when longest, at winter solstice six months later. The extreme directions at sunset and sunrise correspond to the solstices, swept angular range greatest at summer, over 180 degrees, and the opposite at winter, with less daytime hours; in between, spring and fall equinoxes occur, marked by collinear shadow directions at sunrise and sunset. The gnomon allows students to determine, in addition to latitude (about 40.4° North at Madrid, say), the inclination of earth equator to plane of its orbit around the sun (ecliptic), this fundamental quantity being given by half the difference between solar distances to vertical at winter and summer solstices, with value about 23.5°. Day and year periods greatly differing by about 2 ½ orders of magnitude, 1 day against 365 days, helps students to correctly visualize and interpret the experimental measurements. Since the gnomon serves to observe at night the moon shadow too, students can also determine the inclination of the lunar orbital plane, as about 5 degrees away from the ecliptic, thus explaining why eclipses are infrequent. Independently, earth taking longer between spring and fall equinoxes than from fall to spring (the solar anomaly), as again verified by the students, was explained in ancient Greek science, which posited orbits universally as circles or their combination, by introducing the eccentric circle, with earth placed some distance away from the orbital centre when considering the relative motion of the sun, which would be closer to the earth in winter. In a sense, this can be seen as hint and approximation of the elliptic orbit proposed by Kepler many centuries later.

The influence of the outer bath in the dynamics of axisymmetric liquid bridges

The main effects on the dynamics of a liquid bridge due to the presence of an outer liquid, as occur in experiments using the Plateau-tank technique, are considered. The one-dimensional nonlinear model developed here allows us to perform the computation of both breaking processes and oscillatory motions of slender liquid bridges, although in this paper only the results concerning breaking processes are reported. Additionally,the oscillatory motions are studied both experimentally and by using a new linear model. Results from both sources show good agreement

Hidrodinamica de planeadores submarinos y su impacto en la funcionalidad de sensores CTD

Los recientes desarrollos tecnológicos permiten la transición de la oceanografía observacional desde un concepto basado en buques a uno basado en sistemas autónomos en red. Este último, propone que la forma más eficiente y efectiva de observar el océano es con una red de plataformas autónomas distribuidas espacialmente y complementadas con sistemas de medición remota. Debido a su maniobrabilidad y autonomía, los planeadores submarinos están jugando un papel relevante en este concepto de observaciones en red. Los planeadores submarinos fueron específicamente diseñados para muestrear vastas zonas del océano. Estos son robots con forma de torpedo que hacen uso de su forma hidrodinámica, alas y cambios de flotabilidad para generar movimientos horizontales y verticales en la columna de agua. Un sensor que mide conductividad, temperatura y profundidad (CTD) constituye un equipamiento estándar en la plataforma. Esto se debe a que ciertas variables dinámicas del Océano se pueden derivar de la temperatura, profundidad y salinidad. Esta última se puede estimar a partir de las medidas de temperatura y conductividad. La integración de sensores CTD en planeadores submarinos no esta exenta de desafíos. Uno de ellos está relacionado con la precisión de los valores de salinidad derivados de las muestras de temperatura y conductividad. Específicamente, las estimaciones de salinidad están significativamente degradadas por el retardo térmico existente, entre la temperatura medida y la temperatura real dentro de la celda de conductividad del sensor. Esta deficiencia depende de las particularidades del flujo de entrada al sensor, su geometría y, también se ha postulado, del calor acumulado en las capas de aislamiento externo del sensor. Los efectos del retardo térmico se suelen mitigar mediante el control del flujo de entrada al sensor. Esto se obtiene generalmente mediante el bombeo de agua a través del sensor o manteniendo constante y conocida su velocidad. Aunque recientemente se han incorporado sistemas de bombeo en los CTDs a bordo de los planeadores submarinos, todavía existen plataformas equipadas con CTDs sin dichos sistemas. En estos casos, la estimación de la salinidad supone condiciones de flujo de entrada al sensor, razonablemente controladas e imperturbadas. Esta Tesis investiga el impacto, si existe, que la hidrodinámica de los planeadores submarinos pudiera tener en la eficiencia de los sensores CTD. Específicamente, se investiga primero la localización del sensor CTD (externo al fuselaje) relativa a la capa límite desarrollada a lo largo del cuerpo del planeador. Esto se lleva a cabo mediante la utilización de un modelo acoplado de fluido no viscoso con un modelo de capa límite implementado por el autor, así como mediante un programa comercial de dinámica de fluidos computacional (CFD). Los resultados indican, en ambos casos, que el sensor CTD se encuentra fuera de la capa límite, siendo las condiciones del flujo de entrada las mismas que las del flujo sin perturbar. Todavía, la velocidad del flujo de entrada al sensor CTD es la velocidad de la plataforma, la cual depende de su hidrodinámica. Por tal motivo, la investigación se ha extendido para averiguar el efecto que la velocidad de la plataforma tiene en la eficiencia del sensor CTD. Con este propósito, se ha desarrollado un modelo en elementos finitos del comportamiento hidrodinámico y térmico del flujo dentro del CTD. Los resultados numéricos indican que el retardo térmico, atribuidos originalmente a la acumulación de calor en la estructura del sensor, se debe fundamentalmente a la interacción del flujo que atraviesa la celda de conductividad con la geometría interna de la misma. Esta interacción es distinta a distintas velocidades del planeador submarino. Específicamente, a velocidades bajas del planeador (0.2 m/s), la mezcla del flujo entrante con las masas de agua remanentes en el interior de la celda, se ralentiza debido a la generación de remolinos. Se obtienen entonces desviaciones significantes entre la salinidad real y aquella estimada. En cambio, a velocidades más altas del planeador (0.4 m/s) los procesos de mezcla se incrementan debido a la turbulencia e inestabilidades. En consecuencia, la respuesta del sensor CTD es mas rápida y las estimaciones de la salinidad mas precisas que en el caso anterior. Para completar el trabajo, los resultados numéricos se han validado con pruebas experimentales. Específicamente, se ha construido un modelo a escala del sensor CTD para obtener la confirmación experimental de los modelos numéricos. Haciendo uso del principio de similaridad de la dinámica que gobierna los fluidos incompresibles, los experimentos se han realizado con flujos de aire. Esto simplifica significativamente la puesta experimental y facilita su realización en condiciones con medios limitados. Las pruebas experimentales han confirmado cualitativamente los resultados numéricos. Más aun, se sugiere en esta Tesis que la respuesta del sensor CTD mejoraría significativamente añadiendo un generador de turbulencia en localizaciones adecuadas al interno de la celda de conductividad. ABSTRACT Recent technological developments allow the transition of observational oceanography from a ship-based to a networking concept. The latter suggests that the most efficient and effective way to observe the Ocean is through a fleet of spatially distributed autonomous platforms complemented by remote sensing. Due to their maneuverability, autonomy and endurance at sea, underwater gliders are already playing a significant role in this networking observational approach. Underwater gliders were specifically designed to sample vast areas of the Ocean. These are robots with a torpedo shape that make use of their hydrodynamic shape, wings and buoyancy changes to induce horizontal and vertical motions through the water column. A sensor to measure the conductivity, temperature and depth (CTD) is a standard payload of this platform. This is because certain ocean dynamic variables can be derived from temperature, depth and salinity. The latter can be inferred from measurements of temperature and conductivity. Integrating CTD sensors in glider platforms is not exempted of challenges. One of them, concerns to the accuracy of the salinity values derived from the sampled conductivity and temperature. Specifically, salinity estimates are significantly degraded by the thermal lag response existing between the measured temperature and the real temperature inside the conductivity cell of the sensor. This deficiency depends on the particularities of the inflow to the sensor, its geometry and, it has also been hypothesized, on the heat accumulated by the sensor coating layers. The effects of thermal lag are usually mitigated by controlling the inflow conditions through the sensor. Controlling inflow conditions is usually achieved by pumping the water through the sensor or by keeping constant and known its diving speed. Although pumping systems have been recently implemented in CTD sensors on board gliders, there are still platforms with unpumped CTDs. In the latter case, salinity estimates rely on assuming reasonable controlled and unperturbed flow conditions at the CTD sensor. This Thesis investigates the impact, if any, that glider hydrodynamics may have on the performance of onboard CTDs. Specifically, the location of the CTD sensor (external to the hull) relative to the boundary layer developed along the glider fuselage, is first investigated. This is done, initially, by applying a coupled inviscid-boundary layer model developed by the author, and later by using a commercial software for computational fluid dynamics (CFD). Results indicate, in both cases, that the CTD sensor is out of the boundary layer, being its inflow conditions those of the free stream. Still, the inflow speed to the CTD sensor is the speed of the platform, which largely depends on its hydrodynamic setup. For this reason, the research has been further extended to investigate the effect of the platform speed on the performance of the CTD sensor. A finite element model of the hydrodynamic and thermal behavior of the flow inside the CTD sensor, is developed for this purpose. Numerical results suggest that the thermal lag effect is mostly due to the interaction of the flow through the conductivity cell and its geometry. This interaction is different at different speeds of the glider. Specifically, at low glider speeds (0.2 m/s), the mixing of recent and old waters inside the conductivity cell is slowed down by the generation of coherent eddy structures. Significant departures between real and estimated values of the salinity are found. Instead, mixing is enhanced by turbulence and instabilities for high glider speeds (0.4 m/s). As a result, the thermal response of the CTD sensor is faster and the salinity estimates more accurate than for the low speed case. For completeness, numerical results have been validated against model tests. Specifically, a scaled model of the CTD sensor was built to obtain experimental confirmation of the numerical results. Making use of the similarity principle of the dynamics governing incompressible fluids, experiments are carried out with air flows. This significantly simplifies the experimental setup and facilitates its realization in a limited resource condition. Model tests qualitatively confirm the numerical findings. Moreover, it is suggested in this Thesis that the response of the CTD sensor would be significantly improved by adding small turbulators at adequate locations inside the conductivity cell.

Prototipo experimental para implementar las solicitaciones del viento en los buques amarrados. Aplicación a un crucero

Habitualmente en los ensayos de barcos amarrados se reproduce la acción del oleaje. Se ha diseñado un sistema para la reproducción del efecto del viento en estos ensayos, utilizando motores, poleas, hilos de conexión, muelles, galgas y controladoras, de forma que la fuerza ejercida por el viento, previamente calculada considerando las características del barco y del viento, se transmite al barco mediante los elementos que componen el sistema. Este sistema consiste en un circuito cerrado de transmisión de fuerza con un motor que simultáneamente actúa sobre dos muelles deformándolos en sentidos opuestos, los cuales transmiten las fuerzas en los costados del buque, siendo la diferencia del alargamiento de los muelles la fuerza resultante sobre el barco. El sistema se aplicó a un buque crucero, obteniendo unos resultados que muestran la importancia de tener en cuenta el viento racheado como un agente adicional al oleaje que provoca movimientos y esfuerzos en las amarras y defensas elevados, dependiendo de su intensidad y dirección. Se ensayaron tres condiciones: modelo alimentado únicamente con olas, solo con viento y con ambos. En cada ensayo realizado se registraron los movimientos del buque, las fuerzas en las amarras y las reacciones en las defensas. La aportación de la Tesis es un sistema mecánico para excitar el modelo del buque amarrado con viento racheado superpuesto a la acción del oleaje. Evidentemente los resultados que se obtengan se ajustarán más a la situación real que reproduciendo sólo el oleaje. ABSTRACT Traditionally, moored ship tests with small-scale models only take into account the disturbance effect of waves. In this thesis, the design and testing of a system also implementing the effect of wind in moored ships is analyzed. The system is based on rotatory actuators acting on linear springs. This solution has a swift enough response to reproduce the fluctuating component of the wind. Three scenarios have been tested: waves, wind and combination of both. In order to assess the results, different sensors are connected to a computer for data acquisition, allowing the recording and subsequent analysis of the measured variables (forces in ropes, reactions in fenders and ship motions). The results obtained from the experiments show a great impact when wind effect is considered. A superposition effect is observed when waves and wind act together on the ship, emphasizing therefore the importance of taking the wind into account in berthed vessel tests, achieving safer and more realistic results.

IGREJA SEM FRONTEIRAS, FRONTEIRAS SEM IGREJA: Análise das Práticas Pastorais nas Igrejas Batistas da Região Leste da Cidade de São Paulo, num Contexto Urbano de Contrastes, de 1990 a 2000, na Perspectiva da Teologia Prática

A cidade se desenvolve a partir de um núcleo denominado centro, na direção de círculos periféricos. As populações instaladas nestas zonas de fronteiras vivenciam e estabelecem relações próprias com o espaço que ocupam e com o núcleo denominado centro. Em São Paulo, é plausível que se reconheça não há uma uniformidade na população urbana, mas populações urbanas, marcadas por características plurais e significativos contrastes entre si, inclusive nas manifestações de fenômenos religiosos.A zona leste da cidade de São Paulo é objeto da análise desta pesquisa apresentada em quatro capítulos, observada em seus diferentes aspectos, identificando-se inclusive, que há na própria região geográfica marcada como ZL, duas disposições, a saber: ZL 1 e ZL 2, que por si só evidenciam o contraste na zona de fronteira. O olhar específico para este espaço é delimitado pelo tempo, entre 1990-2000 e pela referência da pesquisa que se propõe identificar e analisar as Práticas Pastorais das Igrejas Batistas residentes nesta Zona. Na análise das Práticas Pastorais no viés da evangelização e expansão missionária, elabora-se a pesquisa especificamente sobre três comunidades, a saber: Primeira Igreja Batista da Penha, Igreja Batista em Vila Salete e Primeira Igreja Evangélica Batista em Guaianases.Parte-se não de um referencial externo à comunidade como instrumental de análise, mas suas respectivas propostas de Práticas Pastorais registradas em seus documentos oficiais como atas, anuários e informativos dominicais, os quais serviram como fonte documental. As fronteiras urbanas são, por natureza, inovadoras e caóticas, sendo exatamente por isso o espaço mais adequado para igrejas criarem e desenvolverem Práticas Pastorais próprias e conseqüentes, sem delimitadores à inovação de toda a ordem, configurando-se como Igreja sem Fronteiras. Em caso contrário à motivação inovadora, rompendo-se o diálogo e a vivência com o meio urbano fronteiriço, excluindo-se o ambiente de contraste que se oferece à igreja, dá-se a gênese ao vazio, à desesperança, a Fronteiras sem Igreja.(AU)

IGREJA SEM FRONTEIRAS, FRONTEIRAS SEM IGREJA: Análise das Práticas Pastorais nas Igrejas Batistas da Região Leste da Cidade de São Paulo, num Contexto Urbano de Contrastes, de 1990 a 2000, na Perspectiva da Teologia Prática

A cidade se desenvolve a partir de um núcleo denominado centro, na direção de círculos periféricos. As populações instaladas nestas zonas de fronteiras vivenciam e estabelecem relações próprias com o espaço que ocupam e com o núcleo denominado centro. Em São Paulo, é plausível que se reconheça não há uma uniformidade na população urbana, mas populações urbanas, marcadas por características plurais e significativos contrastes entre si, inclusive nas manifestações de fenômenos religiosos.A zona leste da cidade de São Paulo é objeto da análise desta pesquisa apresentada em quatro capítulos, observada em seus diferentes aspectos, identificando-se inclusive, que há na própria região geográfica marcada como ZL, duas disposições, a saber: ZL 1 e ZL 2, que por si só evidenciam o contraste na zona de fronteira. O olhar específico para este espaço é delimitado pelo tempo, entre 1990-2000 e pela referência da pesquisa que se propõe identificar e analisar as Práticas Pastorais das Igrejas Batistas residentes nesta Zona. Na análise das Práticas Pastorais no viés da evangelização e expansão missionária, elabora-se a pesquisa especificamente sobre três comunidades, a saber: Primeira Igreja Batista da Penha, Igreja Batista em Vila Salete e Primeira Igreja Evangélica Batista em Guaianases.Parte-se não de um referencial externo à comunidade como instrumental de análise, mas suas respectivas propostas de Práticas Pastorais registradas em seus documentos oficiais como atas, anuários e informativos dominicais, os quais serviram como fonte documental. As fronteiras urbanas são, por natureza, inovadoras e caóticas, sendo exatamente por isso o espaço mais adequado para igrejas criarem e desenvolverem Práticas Pastorais próprias e conseqüentes, sem delimitadores à inovação de toda a ordem, configurando-se como Igreja sem Fronteiras. Em caso contrário à motivação inovadora, rompendo-se o diálogo e a vivência com o meio urbano fronteiriço, excluindo-se o ambiente de contraste que se oferece à igreja, dá-se a gênese ao vazio, à desesperança, a Fronteiras sem Igreja.(AU)

Spectral bifurcations in dispersive wave turbulence

Dispersive wave turbulence is studied numerically for a class of one-dimensional nonlinear wave equations. Both deterministic and random (white noise in time) forcings are studied. Four distinct stable spectra are observed—the direct and inverse cascades of weak turbulence (WT) theory, thermal equilibrium, and a fourth spectrum (MMT; Majda, McLaughlin, Tabak). Each spectrum can describe long-time behavior, and each can be only metastable (with quite diverse lifetimes)—depending on details of nonlinearity, forcing, and dissipation. Cases of a long-live MMT transient state dcaying to a state with WT spectra, and vice-versa, are displayed. In the case of freely decaying turbulence, without forcing, both cascades of weak turbulence are observed. These WT states constitute the clearest and most striking numerical observations of WT spectra to date—over four decades of energy, and three decades of spatial, scales. Numerical experiments that study details of the composition, coexistence, and transition between spectra are then discussed, including: (i) for deterministic forcing, sharp distinctions between focusing and defocusing nonlinearities, including the role of long wavelength instabilities, localized coherent structures, and chaotic behavior; (ii) the role of energy growth in time to monitor the selection of MMT or WT spectra; (iii) a second manifestation of the MMT spectrum as it describes a self-similar evolution of the wave, without temporal averaging; (iv) coherent structures and the evolution of the direct and inverse cascades; and (v) nonlocality (in k-space) in the transferral process.

Complex dynamics of multilocus systems subjected to cyclical selection.

Earlier we have shown that oscillations with a long period ("supercycles") may arise in two-locus systems experiencing cyclical selection with a short period. However, this mode of complex limiting behavior appeared to be possible for narrow ranges of parameters. Here we demonstrate that a multilocus system subjected to stabilizing selection with cyclically moving optimum can generate ubiquitous complex limiting behavior including supercycles, T-cycles, and chaotic-like phenomena. This mode of multilocus dynamics far exceeds the potential attainable under ordinary selection models resulting in simple behavior. It may represent a novel evolutionary mechanism increasing genetic diversity over long-term time periods.

Slip complexity in dynamic models of earthquake faults.

We summarize recent evidence that models of earthquake faults with dynamically unstable friction laws but no externally imposed heterogeneities can exhibit slip complexity. Two models are described here. The first is a one-dimensional model with velocity-weakening stick-slip friction; the second is a two-dimensional elastodynamic model with slip-weakening friction. Both exhibit small-event complexity and chaotic sequences of large characteristic events. The large events in both models are composed of Heaton pulses. We argue that the key ingredients of these models are reasonably accurate representations of the properties of real faults.

Hydrated myoglobin's anharmonic fluctuations are not primarily due to dihedral transitions.

To characterize the functionally important anharmonic motions of proteins, simulations of carboxymyoglobin (MbCO) dynamics have been performed during which dihedral transitions were prohibited. Comparison of torsionally restrained and unrestrained protein dynamics simulated at three levels of hydration and at temperatures ranging from 100 to 400 K suggests that hydration "catalyzes" protein mobility by facilitating collective anharmonic motions that do not require dihedral transitions. When dihedral transitions were prohibited, dehydrated MbCO, to a good approximation, exhibited only harmonic fluctuations, whereas hydrated MbCO exhibited both harmonic and anharmonic motions. The fluctuation of helix centers of mass also remained highly anharmonic in the torsionally restrained hydrated system. Atomic mean-square fluctuation at 300 K was reduced upon prohibition of dihedral transitions by only 28% and 10% for MbCO hydrated by 350 and 3830 water molecules, respectively.

A spectroscopy study of nearby late-type stars, possible members of stellar kinematic groups

Context. Nearby late-type stars are excellent targets for seeking young objects in stellar associations and moving groups. The origin of these structures is still misunderstood, and lists of moving group members often change with time and also from author to author. Most members of these groups have been identified by means of kinematic criteria, leading to an important contamination of previous lists by old field stars. Aims. We attempt to identify unambiguous moving group members among a sample of nearby-late type stars by studying their kinematics, lithium abundance, chromospheric activity, and other age-related properties. Methods. High-resolution echelle spectra (R ~ 57 000) of a sample of nearby late-type stars are used to derive accurate radial velocities that are combined with the precise Hipparcos parallaxes and proper motions to compute galactic-spatial velocity components. Stars are classified as possible members of the classical moving groups according to their kinematics. The spectra are also used to study several age-related properties for young late-type stars, i.e., the equivalent width of the lithium Li i 6707.8 Å line or the R'_HK index. Additional information like X-ray fluxes from the ROSAT All-Sky Survey or the presence of debris discs is also taken into account. The different age estimators are compared and the moving group membership of the kinematically selected candidates are discussed. Results. From a total list of 405 nearby stars, 102 have been classified as moving group candidates according to their kinematics. i.e., only ~25.2% of the sample. The number reduces when age estimates are considered, and only 26 moving group candidates (25.5% of the 102 candidates) have ages in agreement with the star having the same age as an MG member.

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.

Recent developments in the quantum dynamical characterization of unimolecular resonances

We give a selective review of quantum mechanical methods for calculating and characterizing resonances in small molecular systems, with an emphasis on recent progress in Chebyshev and Lanczos iterative methods. Two archetypal molecular systems are discussed: isolated resonances in HCO, which exhibit regular mode and state specificity, and overlapping resonances in strongly bound HO2, which exhibit irregular and chaotic behavior. Recent progresses for non-zero total angular momentum J calculations of resonances including parallel computing models are also included and future directions in this field are discussed.

Chaos Theory as an Approach to Understanding MICE in Time of Crisis

MICE (meetings, incentives, conventions, and exhibitions), has generated high foreign exchange revenue for the economy worldwide. In Thailand, MICE tourists are recognized as ‘quality’ visitors, mainly because of their high-spending potential. Having said that, Thailand’s MICE sector has been influenced by a number of crises following September 11, 2001. Consequently, professionals in the MICE sector must be prepared to deal with such complex phenomena of crisis that might happen in the future. While a number of researches have examined the complexity of crises in the tourism context, there has been little focus on such issues in the MICE sector. As chaos theory provides a particularly good model for crisis situations, it is the aim of this paper to propose a chaos theory-based approach to the understanding of complex and chaotic system of the MICE sector in time of crisis.