Spectral response of a droplet in pulsating external flow field

A droplet introduced in an external convective flow field exhibits significant multimodal shape oscillations depending upon the intensity of the aerodynamic forcing. In this paper, a theoretical model describing the temporal evolution of normal modes of the droplet shape is developed. The fluid is assumed to be weakly viscous and Newtonian. The convective flow velocity, which is assumed to be incompressible and inviscid, is incorporated in the model through the normal stress condition at the droplet surface and the equation of motion governing the dynamics of each mode is derived. The coupling between the external flow and the droplet is approximated to be a one-way process, i.e., the external flow perturbations effect the droplet shape oscillations and the droplet oscillation itself does not influence the external flow characteristics. The shape oscillations of the droplet with different fluid properties under different unsteady flow fields were simulated. For a pulsatile external flow, the frequency spectra of the normal modes of the droplet revealed a dominant response at the resonant frequency, in addition to the driving frequency and the corresponding harmonics. At driving frequencies sufficiently different from the resonant frequency of the prolate-oblate oscillation mode of the droplet, the oscillations are stable. But at resonance the oscillation amplitude grows in time leading to breakup depending upon the fluid viscosity. A line vortex advecting past the droplet, simulated as an isotropic jump in the far field velocity, leads to the resonant excitation of the droplet shape modes if and only if the time taken by the vortex to cross the droplet is less than the resonant period of the P-2 mode of the droplet. A train of two vortices interacting with the droplet is also analysed. It shows clearly that the time instant of introduction of the second vortex with respect to the droplet shape oscillation cycle is crucial in determining the amplitude of oscillation. (C) 2014 AIP Publishing LLC.

Free turbulent shear layer in a point vortex gas as a problem in nonequilibrium statistical mechanics

This paper attempts to unravel any relations that may exist between turbulent shear flows and statistical mechanics through a detailed numerical investigation in the simplest case where both can be well defined. The flow considered for the purpose is the two-dimensional (2D) temporal free shear layer with a velocity difference Delta U across it, statistically homogeneous in the streamwise direction (x) and evolving from a plane vortex sheet in the direction normal to it (y) in a periodic-in-x domain L x +/-infinity. Extensive computer simulations of the flow are carried out through appropriate initial-value problems for a ``vortex gas'' comprising N point vortices of the same strength (gamma = L Delta U/N) and sign. Such a vortex gas is known to provide weak solutions of the Euler equation. More than ten different initial-condition classes are investigated using simulations involving up to 32 000 vortices, with ensemble averages evaluated over up to 10(3) realizations and integration over 10(4)L/Delta U. The temporal evolution of such a system is found to exhibit three distinct regimes. In Regime I the evolution is strongly influenced by the initial condition, sometimes lasting a significant fraction of L/Delta U. Regime III is a long-time domain-dependent evolution towards a statistically stationary state, via ``violent'' and ``slow'' relaxations P.-H. Chavanis, Physica A 391, 3657 (2012)], over flow time scales of order 10(2) and 10(4)L/Delta U, respectively (for N = 400). The final state involves a single structure that stochastically samples the domain, possibly constituting a ``relative equilibrium.'' The vortex distribution within the structure follows a nonisotropic truncated form of the Lundgren-Pointin (L-P) equilibrium distribution (with negatively high temperatures; L-P parameter lambda close to -1). The central finding is that, in the intermediate Regime II, the spreading rate of the layer is universal over the wide range of cases considered here. The value (in terms of momentum thickness) is 0.0166 +/- 0.0002 times Delta U. Regime II, extensively studied in the turbulent shear flow literature as a self-similar ``equilibrium'' state, is, however, a part of the rapid nonequilibrium evolution of the vortex-gas system, which we term ``explosive'' as it lasts less than one L/Delta U. Regime II also exhibits significant values of N-independent two-vortex correlations, indicating that current kinetic theories that neglect correlations or consider them as O(1/N) cannot describe this regime. The evolution of the layer thickness in present simulations in Regimes I and II agree with the experimental observations of spatially evolving (3D Navier-Stokes) shear layers. Further, the vorticity-stream-function relations in Regime III are close to those computed in 2D Navier-Stokes temporal shear layers J. Sommeria, C. Staquet, and R. Robert, J. Fluid Mech. 233, 661 (1991)]. These findings suggest the dominance of what may be called the Kelvin-Biot-Savart mechanism in determining the growth of the free shear layer through large-scale momentum and vorticity dispersal.

NUMERICAL SIMULATIONS OF LIQUID JET BREAK UP IN A CROSSFLOW

Atomization is the process of disintegration of a liquid jet into ligaments and subsequently into smaller droplets. A liquid jet injected from a circular orifice into cross flow of air undergoes atomization primarily due to the interaction of the two phases rather than an intrinsic break up. Direct numerical simulation of this process resolving the finest droplets is computationally very expensive and impractical. In the present study, we resort to multiscale modelling to reduce the computational cost. The primary break up of the liquid jet is simulated using Gerris, an open source code, which employs Volume-of-Fluid (VOF) algorithm. The smallest droplets formed during primary atomization are modeled as Lagrangian particles. This one-way coupling approach is validated with the help of the simple test case of tracking a particle in a Taylor-Green vortex. The temporal evolution of the liquid jet forming the spray is captured and the flattening of the cylindrical liquid column prior to breakup is observed. The size distribution of the resultant droplets is presented at different distances downstream from the location of injection and their spatial evolution is analyzed.

Fast and slow climate responses to CO2 and solar forcing: A linear multivariate regression model characterizing transient climate change

Climate change in response to a change in external forcing can be understood in terms of fast response to the imposed forcing and slow feedback associated with surface temperature change. Previous studies have investigated the characteristics of fast response and slow feedback for different forcing agents. Here we examine to what extent that fast response and slow feedback derived from time-mean results of climate model simulations can be used to infer total climate change. To achieve this goal, we develop a multivariate regression model of climate change, in which the change in a climate variable is represented by a linear combination of its sensitivity to CO2 forcing, solar forcing, and change in global mean surface temperature. We derive the parameters of the regression model using time-mean results from a set of HadCM3L climate model step-forcing simulations, and then use the regression model to emulate HadCM3L-simulated transient climate change. Our results show that the regression model emulates well HadCM3L-simulated temporal evolution and spatial distribution of climate change, including surface temperature, precipitation, runoff, soil moisture, cloudiness, and radiative fluxes under transient CO2 and/or solar forcing scenarios. Our findings suggest that temporal and spatial patterns of total change for the climate variables considered here can be represented well by the sum of fast response and slow feedback. Furthermore, by using a simple 1-D heat-diffusion climate model, we show that the temporal and spatial characteristics of climate change under transient forcing scenarios can be emulated well using information from step-forcing simulations alone.

The Displacement and Strain Field of Three-Dimensional Rheologic Model of Earthquake Preparation

Based on the three-dimensional elastic inclusion model proposed by Dobrovolskii, we developed a rheological inclusion model to study earthquake preparation processes. By using the Corresponding Principle in the theory of rheologic mechanics, we derived the analytic expressions of viscoelastic displacement U(r, t) , V(r, t) and W(r, t), normal strains epsilon(xx) (r, t), epsilon(yy) (r, t) and epsilon(zz) (r, t) and the bulk strain theta (r, t) at an arbitrary point (x, y, z) in three directions of X axis, Y axis and Z axis produced by a three-dimensional inclusion in the semi-infinite rheologic medium defined by the standard linear rheologic model. Subsequent to the spatial-temporal variation of bulk strain being computed on the ground produced by such a spherical rheologic inclusion, interesting results are obtained, suggesting that the bulk strain produced by a hard inclusion change with time according to three stages (alpha, beta, gamma) with different characteristics, similar to that of geodetic deformation observations, but different with the results of a soft inclusion. These theoretical results can be used to explain the characteristics of spatial-temporal evolution, patterns, quadrant-distribution of earthquake precursors, the changeability, spontaneity and complexity of short-term and imminent-term precursors. It offers a theoretical base to build physical models for earthquake precursors and to predict the earthquakes.

The Displacement and Strain Field of Three-Dimensional Rheologic Model of Earthquake Preparation

Based on the three-dimensional elastic inclusion model proposed by Dobrovolskii, we developed a rheological inclusion model to study earthquake preparation processes. By using the Corresponding Principle in the theory of rheologic mechanics, we derived the analytic expressions of viscoelastic displacement U(r, t) , V(r, t) and W(r, t), normal strains epsilon(xx) (r, t), epsilon(yy) (r, t) and epsilon(zz) (r, t) and the bulk strain theta (r, t) at an arbitrary point (x, y, z) in three directions of X axis, Y axis and Z axis produced by a three-dimensional inclusion in the semi-infinite rheologic medium defined by the standard linear rheologic model. Subsequent to the spatial-temporal variation of bulk strain being computed on the ground produced by such a spherical rheologic inclusion, interesting results are obtained, suggesting that the bulk strain produced by a hard inclusion change with time according to three stages (alpha, beta, gamma) with different characteristics, similar to that of geodetic deformation observations, but different with the results of a soft inclusion. These theoretical results can be used to explain the characteristics of spatial-temporal evolution, patterns, quadrant-distribution of earthquake precursors, the changeability, spontaneity and complexity of short-term and imminent-term precursors. It offers a theoretical base to build physical models for earthquake precursors and to predict the earthquakes.

Time and space-resolved measurement of a gas-puff laser-plasma x-ray source

The dynamic interaction processes between a nano-second laser pulse and a gas-puff target, such as those of plasma formation, laser heating, and x-ray emission, have been investigated quantitatively. Time and space-resolved x-ray and optical measurement techniques were used in order to investigate time-resolved laser absorption and subsequent x-ray generation. Efficient absorption of the incident laser energy into the gas-puff target of 17%, 12%, 38%, and 91% for neon, argon, krypton, and xenon, respectively, was shown experimentally. It was found that the laser absorption starts and, simultaneously, soft x-ray emission occurs. The soft x-ray lasts much longer than the laser pulse due to the recombination. Temporal evolution of the soft x-ray emission region was analyzed by comparing the experimental results to the results of the model calculation, in which the laser light propagation through a gas-puff plasma was taken into account. (C) 2003 American Institute of Physics.

Using space geodesy to constrain variations in seismogenic behavior on subduction megathrusts

The concept of seismogenic asperities and aseismic barriers has become a useful paradigm within which to understand the seismogenic behavior of major faults. Since asperities and barriers can be thought of as defining the potential rupture area of large megathrust earthquakes, it is thus important to identify their respective spatial extents, constrain their temporal longevity, and to develop a physical understanding for their behavior. Space geodesy is making critical contributions to the identification of slip asperities and barriers but progress in many geographical regions depends on improving the accuracy and precision of the basic measurements. This thesis begins with technical developments aimed at improving satellite radar interferometric measurements of ground deformation whereby we introduce an empirical correction algorithm for unwanted effects due to interferometric path delays that are due to spatially and temporally variable radar wave propagation speeds in the atmosphere. In chapter 2, I combine geodetic datasets with complementary spatio-temporal resolutions to improve our understanding of the spatial distribution of crustal deformation sources and their associated temporal evolution – here we use observations from Long Valley Caldera (California) as our test bed. In the third chapter I apply the tools developed in the first two chapters to analyze postseismic deformation associated with the 2010 Mw=8.8 Maule (Chile) earthquake. The result delimits patches where afterslip occurs, explores their relationship to coseismic rupture, quantifies frictional properties associated with inferred patches of afterslip, and discusses the relationship of asperities and barriers to long-term topography. The final chapter investigates interseismic deformation of the eastern Makran subduction zone by using satellite radar interferometry only, and demonstrates that with state-of-art techniques it is possible to quantify tectonic signals with small amplitude and long wavelength. Portions of the eastern Makran for which we estimate low fault coupling correspond to areas where bathymetric features on the downgoing plate are presently subducting, whereas the region of the 1945 M=8.1 earthquake appears to be more highly coupled.

Frictional properties of faults : from observation on the Longitudinal Valley Fault, Taiwan, to dynamic simulations

Faults can slip either aseismically or through episodic seismic ruptures, but we still do not understand the factors which determine the partitioning between these two modes of slip. This challenge can now be addressed thanks to the dense set of geodetic and seismological networks that have been deployed in various areas with active tectonics. The data from such networks, as well as modern remote sensing techniques, indeed allow documenting of the spatial and temporal variability of slip mode and give some insight. This is the approach taken in this study, which is focused on the Longitudinal Valley Fault (LVF) in Eastern Taiwan. This fault is particularly appropriate since the very fast slip rate (about 5 cm/yr) is accommodated by both seismic and aseismic slip. Deformation of anthropogenic features shows that aseismic creep accounts for a significant fraction of fault slip near the surface, but this fault also released energy seismically, since it has produced five M_w>6.8 earthquakes in 1951 and 2003. Moreover, owing to the thrust component of slip, the fault zone is exhumed which allows investigation of deformation mechanisms. In order to put constraint on the factors that control the mode of slip, we apply a multidisciplinary approach that combines modeling of geodetic observations, structural analysis and numerical simulation of the "seismic cycle". Analyzing a dense set of geodetic and seismological data across the Longitudinal Valley, including campaign-mode GPS, continuous GPS (cGPS), leveling, accelerometric, and InSAR data, we document the partitioning between seismic and aseismic slip on the fault. For the time period 1992 to 2011, we found that about 80-90% of slip on the LVF in the 0-26 km seismogenic depth range is actually aseismic. The clay-rich Lichi M\'elange is identified as the key factor promoting creep at shallow depth. Microstructural investigations show that deformation within the fault zone must have resulted from a combination of frictional sliding at grain boundaries, cataclasis and pressure solution creep. Numerical modeling of earthquake sequences have been performed to investigate the possibility of reproducing the results from the kinematic inversion of geodetic and seismological data on the LVF. We first investigate the different modeling strategy that was developed to explore the role and relative importance of different factors on the manner in which slip accumulates on faults. We compare the results of quasi dynamic simulations and fully dynamic ones, and we conclude that ignoring the transient wave-mediated stress transfers would be inappropriate. We therefore carry on fully dynamic simulations and succeed in qualitatively reproducing the wide range of observations for the southern segment of the LVF. We conclude that the spatio-temporal evolution of fault slip on the Longitudinal Valley Fault over 1997-2011 is consistent to first order with prediction from a simple model in which a velocity-weakening patch is embedded in a velocity-strengthening area.

Effect of microcosmic optical parameters of dopants on the signal-to-noise ratio in doubly doped LiNbO3 crystals

We propose a united theory that describes the two-center recording system by taking scattering noise into account. The temporal evolution of the signal-to-noise ratio in doubly doped photorefractive crystals is described based on jointly solving material equations and coupled-wave equations with the fourth-order Runge-Kutta method. Roles of microcosmic optical parameters of dopants on the signal-to-noise ratio are discussed in detail. The theoretical results can confirm and predict experimental results. (c) 2005 Elsevier GmbH. All rights reserved.

Theoretical model for a periodically driven semiconductor laser subject to optical feedback from a microcantilever

We propose a theoretical model for analyzing the dynamics of a periodically driven semiconductor laser subject to optical feedback from a microcantilever. We numerically investigate the temporal evolution of the light intensity of the semiconductor laser, and we show the interspikes of the light intensity. These interspikes of light intensity are also demonstrated in our experiment. The validity of the theoretical model is verified. The observed phenomenon has a potential application for resonant sensing. (C) 2008 Optical Society of America.

Consumo alimentar e associação com ganho de peso em adolescente: Estudo Longitudinal de Avaliação Nutricional de Adolescentes (ELANA).

Essa tese teve como objetivo avaliar a associação do consumo de padrões alimentares e produtos alimentícios ultraprocessados (UP) sobre indicadores antropométricos e sua variação entre adolescentes. Para tal, foram analisados os dados de 1.031 estudantes de quatro escolas privadas e duas escolas públicas da região metropolitana do Rio de Janeiro que foram acompanhados por três anos consecutivos (2010 a 2012) no Estudo Longitudinal de Avaliação Nutricional de adolescentes (ELANA). Os resultados estão apresentados em três manuscritos que compõem a tese. O primeiro manuscrito identificou três padrões alimentares: Ocidental, composto por massas, embutidos e bacon, carnes, doces, bebidas açucaradas, salgados e fast food, biscoito, pães e cereais, leite e derivados e ovos, o Saudável, caracterizado por peixes, hortaliças, verduras, raízes e feculentos, frutas e sucos e o Arroz/Feijão, composto pelo consumo de arroz, feijão e café. Na análise dos dados na linha de base o padrão Ocidental associou-se a um menor índice de massa corporal (IMC) e não foi observada associação estatisticamente significativa em relação ao percentual de gordura corpórea (%GC) e o padrão em questão. Adicionalmente, foi verificada uma associação negativa entre o padrão Arroz/Feijão e ambos os indicadores antropométricos sugerindo que esse padrão de consumo tradicional possa ser protetor para a obesidade. No segundo manuscrito avaliou-se a relação entre o consumo de UP e indicadores de qualidade da dieta. O consumo de UP foi avaliado em gramas por dia e em gramas/total de calorias. Observou-se um aumento das variáveis marcadoras de alimentação não saudável e saudável com o aumento do consumo de UP. No entanto, quando relacionados ao aumento de consumo de UP/energia observou-se um aumento de marcadores de alimentação não saudável e, com exceção da vitamina C, uma redução de marcadores de alimentação saudável. Assim, a densidade do consumo de UP mostrou-se um bom indicador de qualidade da dieta entre adolescentes. No terceiro manuscrito avaliou-se a associação entre o consumo de UP e a evolução temporal do IMC e %GC. A análise longitudinal por modelos lineares mistos, que levam em conta todas as observações ao longo do tempo, indicou que nas análises não ajustados havia uma associação negativa entre consumo de UP e o IMC e %GC, porém nas análises de UP/energia e nas análises ajustadas por atividade física e uma variável de controle para a qualidade do relato não mais foram observadas associações com o consumo de UP e as medidas antropométricas de adiposidade. Pode-se concluir que não evidenciamos associação do consumo de UP com medidas antropométricas de obesidade uma vez que o consumo elevado de UP associado ao crescimento do %GC nas análises transversais, não se manteve nas análises longitudinais. A discrepância entre os achados dos estudos seccionais e os longitudinais pode decorrer de confundimento residual nos estudos seccionais. Conclui-se, que para redução do ganho excessivo de peso, orientações relativas exclusivamente a um padrão de alimentação saudável que incorpora a ideia de UP, devem ser acompanhadas de redução da quantidade de alimentos consumidos.

Consumo alimentar e associação com ganho de peso em adolescente: Estudo Longitudinal de Avaliação Nutricional de Adolescentes (ELANA).

Essa tese teve como objetivo avaliar a associação do consumo de padrões alimentares e produtos alimentícios ultraprocessados (UP) sobre indicadores antropométricos e sua variação entre adolescentes. Para tal, foram analisados os dados de 1.031 estudantes de quatro escolas privadas e duas escolas públicas da região metropolitana do Rio de Janeiro que foram acompanhados por três anos consecutivos (2010 a 2012) no Estudo Longitudinal de Avaliação Nutricional de adolescentes (ELANA). Os resultados estão apresentados em três manuscritos que compõem a tese. O primeiro manuscrito identificou três padrões alimentares: Ocidental, composto por massas, embutidos e bacon, carnes, doces, bebidas açucaradas, salgados e fast food, biscoito, pães e cereais, leite e derivados e ovos, o Saudável, caracterizado por peixes, hortaliças, verduras, raízes e feculentos, frutas e sucos e o Arroz/Feijão, composto pelo consumo de arroz, feijão e café. Na análise dos dados na linha de base o padrão Ocidental associou-se a um menor índice de massa corporal (IMC) e não foi observada associação estatisticamente significativa em relação ao percentual de gordura corpórea (%GC) e o padrão em questão. Adicionalmente, foi verificada uma associação negativa entre o padrão Arroz/Feijão e ambos os indicadores antropométricos sugerindo que esse padrão de consumo tradicional possa ser protetor para a obesidade. No segundo manuscrito avaliou-se a relação entre o consumo de UP e indicadores de qualidade da dieta. O consumo de UP foi avaliado em gramas por dia e em gramas/total de calorias. Observou-se um aumento das variáveis marcadoras de alimentação não saudável e saudável com o aumento do consumo de UP. No entanto, quando relacionados ao aumento de consumo de UP/energia observou-se um aumento de marcadores de alimentação não saudável e, com exceção da vitamina C, uma redução de marcadores de alimentação saudável. Assim, a densidade do consumo de UP mostrou-se um bom indicador de qualidade da dieta entre adolescentes. No terceiro manuscrito avaliou-se a associação entre o consumo de UP e a evolução temporal do IMC e %GC. A análise longitudinal por modelos lineares mistos, que levam em conta todas as observações ao longo do tempo, indicou que nas análises não ajustados havia uma associação negativa entre consumo de UP e o IMC e %GC, porém nas análises de UP/energia e nas análises ajustadas por atividade física e uma variável de controle para a qualidade do relato não mais foram observadas associações com o consumo de UP e as medidas antropométricas de adiposidade. Pode-se concluir que não evidenciamos associação do consumo de UP com medidas antropométricas de obesidade uma vez que o consumo elevado de UP associado ao crescimento do %GC nas análises transversais, não se manteve nas análises longitudinais. A discrepância entre os achados dos estudos seccionais e os longitudinais pode decorrer de confundimento residual nos estudos seccionais. Conclui-se, que para redução do ganho excessivo de peso, orientações relativas exclusivamente a um padrão de alimentação saudável que incorpora a ideia de UP, devem ser acompanhadas de redução da quantidade de alimentos consumidos.

Avaliação do impacto da gestão de uma organização da sociedade civil de interesse público nas ações desenvolvidas no programa de controle de tuberculose em unidades de saúde em Duque de Caxias.

Entre os anos de 2009 a 2012 o município de Duque de Caxias realizou uma parceria com uma organização social civil de interesse público (OSCIP) para gerir seis unidades mistas de saúde. A tuberculose (TB) é um grave problema de saúde pública no Brasil. Em Duque de Caxias o Programa de Controle de Tuberculose necessitava ampliação e descentralização para o maior acesso à população. Objetivo: Este estudo teve como objetivo avaliar o impacto da gestão de uma OSCIP em seis unidades de saúde do município de Duque de Caxias, Estado do Rio de Janeiro, tendo como base os resultados alcançados no Programa de Controle da Tuberculose (PCT). Metodologia: Realizou-se uma pesquisa quantitativa, descritiva, de evolução temporal dos indicadores do PCT, com base em dados secundários gerados através do banco de dados do SINAN/DC, assim como a análise documental do Livro de Registros das Baciloscopias e Culturas do PCT. Levantamento na literatura sobre o tema. Também através de pesquisa eletrônica pela internet realizou-se um levantamento na literatura sobre o tema. Resultado e Discussão: A parceria com a OSCIP possibilitou a descentralização do Programa de Controle da Tuberculose para os quatro distritos do município. Na análise dos indicadores observou-se melhor desempenho das unidades de saúde sob a gerência da OSCIP em alguns indicadores de processo, como realização do exame anti-HIV e percentual de baciloscopias realizadas. Quanto aos indicadores de resultado, em ambos os tipos de gerência, observou-se baixa atuação no alcance das metas nacionais. Conclusão: Apesar das limitações metodológicas, como o curto período de tempo da análise dos indicadores, a utilização de dados secundários (SINAN), o presente estudo permitiu um olhar inicial das vantagens, desvantagens e limitações da parceria com uma OSCIP no serviço público. Serão necessários novos estudos com período maior de tempo além da inclusão de outros indicadores

Measurements of triggering and transient growth in a model lean-premixed gas turbine combustor

Instability triggering and transient growth of thermoacoustic oscillations were experimentally investigated in combination with linear/nonlinear flame transfer function (FTF) methodology in a model lean-premixed gas turbine combustor operated with CH 4 and air at atmospheric pressure. A fully premixed flame with 10kW thermal power and an equivalence ratio of 0.60 was chosen for detailed characterization of the nonlinear transient behaviors. Flame transfer functions were experimentally determined by simultaneous measurements of inlet velocity fluctuations and heat release rate oscillations using a constant temperature anemometer and OH */CH * chemiluminescence emissions, respectively. The phase-resolved variation of the local flame structure at a limit cycle was measured by planar laser-induced fluorescence of OH. Simultaneous measurements of inlet velocity, OH */CH * emission, and acoustic pressure were performed to investigate the temporal evolution of the system from a stable to a limit cycle operation. This measurement allows us to describe an unsteady instability triggering event in terms of several distinct stages: (i) initiation of a small perturbation, (ii) exponential amplification, (iii) saturation, (iv) nonlinear evolution of the perturbations towards a new unstable periodic state, (v) quasi-steady low-amplitude periodic oscillation, and (vi) fully-developed high-amplitude limit cycle oscillation. Phase-plane portraits of instantaneous inlet velocity and heat release rate clearly show the presence of two different attractors. Depending on its initial position in phase space at infinitesimally small amplitude, the system evolves towards either a high-amplitude oscillatory state or a low-amplitude oscillatory state. This transient phenomenon was analyzed using frequency- and amplitude-dependent damping mechanisms, and compared to subcritical and supercritical bifurcation theories. The results presented in this paper experimentally demonstrate the hypothesis proposed by Preetham et al. based on analytical and computational solutions of the nonlinear G-equation [J. Propul. Power 24 (2008) 1390-1402]. Good quantitative agreement was obtained between measurements and predictions in terms of the conditions for the onset of triggering and the amplitude of triggered combustion instabilities. © 2011 The Combustion Institute.