Kyoto University (京都大学) / 0048 / 新制・課程博士 / 博士(工学) / 甲第14624号 / 工博第3092号 / 新制||工||1460(附属図書館) / 26976 / UT51-2009-D336 / 京都大学大学院工学研究科電気工学専攻 / (主査)教授 引原 隆士, 教授 北野 正雄, 准教授 山田 啓文 / 学位規則第4条第1項該当

Afin de mettre en évidence le phénomène de localisation d'énergie dans les protéines, un modèle utilisant les concepts de la Physique non-linéaire a été développé. Il permet, via l'utilisation d'un potentiel de type FPU et d'une dissipation placée sur la surface, de faire apparaître des breathers chaotiques dans certaines enzymes. Ces breathers ont une durée de vie importante par rapport aux échelles de temps caractéristiques du système. Ils sont localisés sur un seul résidu, toujours situé dans une région rigide de la protéine. Cela nous a conduit à l'hypothèse d'un lien possible entre la fonction catalytique, les propriétés locales de structure des enzymes et les localisations d'énergie. Plus précisément, l'activation d'un breather chaotique lors d'une réaction enzymatique au niveau des sites catalytiques pourrait permettre à la protéine de stocker de l'énergie pendant de longues durées.

Spatiotemporal properties of classical coupled nonlinear oscillators are investigated in this thesis. Chapter 1 gives an introduction to nonlinear lattices and to the concept of breathers, that are spatially localized and temporally periodic excitation in nonlinear lattices. The concept of anti-continuous limit that provides the basic methodology in probing spatiotemporal breather properties is discussed. In Chapter 2, the general approach for finding exact breather solutions from the anti-continuous limit is examined, and the rotating wave approximation(RWA) is applied to probe the spatial structure of static breathers. Numerical evidence reveals that the RWA relates the spatial structure of stable multi-breathers to a single breather of the same frequency. Chapter 3 presents linear stability analysis of static breathers and gives a systematic way to construct mobile breathers. Formation and collision properties of this moving breathers are also studied. Chapter 4 discusses dynamics of kinks and anti-kinks in hydrogen-bonded chains in the context of two-component soliton model. From molecular dynamics simulations with finite temperature, it is observed that, in a real system (eg. ice), a pair of kink and anti-kink can evolve into a moving-breather-like excitation. Chapter 5 is devoted to the understand of the effects of disorder in the Holstein model. The summary is given in Chapter 6.

Ce travail porte sur l’étude du processus d’instabilité de modulation dans les fibres optiques et notamment son étape nonlinéraire. Ce processus peut induire une dynamique complexe de couplage entre une onde de pompe et des bandes latérales avec notamment un, voire de multiples, retour à l’état initial s’il est amorcé activement. Ce phénomène est connu sous le nom de récurrences de Fermi-Pasta-Ulam-Tsingou. Dans cette thèse, nous décrivons la mise en place d’un montage expérimental se basant sur la détection hétérodyne d’un signal rétrodiffusé et une compensation active des pertes. Il permet une caractérisation distribuée rapide et non-invasive tout le long d’une fibre de l’amplitude et la phase des principales composantes spectrales d’une impulsion. En outre, nous détaillons une méthode de post-traitement qui nous permet de retrouver l’évolution du champ complexe dans le domaine temporel. Mettant en oeuvre ces outils, nous avons rapporté l’observation de deux récurrences de Fermi-Padta-Ulam-Tsingou et leur brisure de symétrie, à la fois dans les domaines fréquentiel et temporel. Suite à cela, nous avons quantitativement examiné l’influence des conditions initiales des trois ondes envoyées dans la fibre sur la position des récurrences, en comparaison avec de récentes prédictions théoriques. Finalement, nous avons étudié la dynamique de structures nonlinéraies d’ordre supérieur, à savoir les breathers du deuxième ordre. / This work deals with the investigation of the modulation instability process in optical fibres and in particular its nonlinear stage. This process can induce a complex coupling dynamic between the pump and sidebands waves, with a single or multiple returns to the initial state if it is seeded. This phenomenon is referred as Fermi-Pasta-Ulam-Tsingou recurrences. In this thesis, we describe the implementation of a novel experimental technique based on heterodyne optical time-domain reflectometry and active compensation of losses. It allows fast and non-invasive distributed characterisation along a fibre of the amplitude and phase of the main frequency components of a pulse. Furthermore, we detail a simple post-processing method which enable us to retrieve the complex field evolution in the time domain. Using these tools, we reported the observation of two Fermi-Pasta-Ulam-Tsingou recurrences and their symmetry-breaking nature, both in the frequency and time domain. Then, we quantitatively studied the influence of the initial three-wave input conditions on the recurrence positions, in regards with recent theoretical predictions. Finally, we investigated the dynamics of higher-order nonlinear structures, namely second-order breathers.

Les exploitant aériens cherchent à réduire toujours davantage le coût d'utilisation et d'opération de maintenance des hélicoptères ainsi qu'à limiter leur impact environnemental. Par conséquent, les motoristes tels que Safran Helicopter Engines doivent constamment améliorer les performances de leurs moteurs. Cette amélioration passe notamment par la réduction des consommations de carburants et d'huile de lubrification. La consommation d'huile est liée en grande partie à la formation d'un brouillard diphasique air-huile au sein des paliers de roulements des arbres du moteur. L'air est continûment évacué en transportant des inclusions d'huile vers l'extérieur. Pour limiter ces rejets d'huile, un séparateur en rotation est utilisé pour récupérer l'huile et évacuer l'air. Afin de prédire avec davantage de précision la consommation d'huile et les pertes de charges induites par le séparateur, la présente thèse développe une stratégie d'analyse des écoulements diphasiques au sein des séparateurs. Cette stratégie s'appuie en premier lieu sur des simulations numériques du brouillard d'huile basées sur une approche Euler-Lagrange. Ces simulations permettent d'une part d'analyser l'écoulement d'air et les pertes de charges du séparateur et d'autre part d'appréhender les mécanismes de la séparation de l'huile et d'analyser la consommation en fonction des conditions de fonctionnement. Parallèlement, grâce au financement du projet européen E-Break, un banc d'essais dégazeur a été conçu dans le cadre de cette thèse et réalisé à l'Université Libre de Bruxelles. Des analyses croisées entre essais et simulations permettent de valider la méthodologie de simulation. Cependant, si les pertes de charges sont correctement prédites par le calcul, des efforts supplémentaires sont nécessaires, aussi bien sur la précision des mesures que sur la modélisation de l'écoulement diphasique, pour assurer une prédiction satisfaisante de la consommation d'huile. / Air operators try to reduce ever more operation and maintenance costs of helicopters as well as to limit their environmental impact. Consequently, engine manufacturers such as Safran Helicopter Engines must constantly improve the performance level of the engines they develop. To achieve such an improvement, oil and kerosene consumption must be reduced. Oil consumption is mostly due the formation of an oil mist inside bearing chambers. As the air is continuously scavenged, it carries along oil droplets out of the engines. In order to limit the oil wastes, a separator is used which recovers oil drops carried by the owing air that is vented out. In order to predict with a better level of accuracy the oil consumption and the pressure losses induced by the separator, the present thesis develops a strategy to analyse the two-phase flow within the separator. This strategy relies in the first place on Euler-Lagrange numerical simulation of the oil mist which allow on the one hand to compute the turbulent air flow and the pressure drop induced by the separator and on the other hand to better understand the separation mechanisms and to predict the oil consumption for various operating conditions. Besides, thanks to the funding of the E-Break European project, a test bench has been designed in the framework of this PhD and set up at the Université Libre de Bruxelles. Cross comparisons between measurements and simulations allow validating the numerical methodology. However, even though pressure drops are correctly predicted by the simulation, improvements are still needed, regarding both the measurement accuracy and the two-phase numerical modelling, in order to provide a satisfactory prediction of the oil consumption.

Made available in DSpace on 2016-06-02T19:22:12Z (GMT). No. of bitstreams: 1 6335.pdf: 3771187 bytes, checksum: 3b53ad55024114e65e566f79ed09086b (MD5) Previous issue date: 2014-06-30 / Financiadora de Estudos e Projetos / The African sharptooth catfish Clarias gariepinus is a facultative air-breather with the ABO present in the 2nd and 3rd gill arches. Like other bimodal respirators, the African catfish presents cardiorespiratory adjustments to survive low PwO2. These regulations are modulated by gill O2 chemoreceptors monitoring the PwO2 and/or the PaO2. The present study analyzed the distribution, location and orientation of the branchial O2 chemoreceptors of C. gariepinus, and the role of these receptors on the cardiorespiratory function and the modulation of the heart autonomic control. C. gariepinus were divided into two experimental groups (Control GC, intact fish, and Experimental GD, with the 1st gill arches excised) and their cardiorespiratory variables were analyzed during graded hypoxia with and without access to the atmospheric air, internal and external NaCN injections and autonomic nervous system antagonists. During hypoxia without access to air, both GC and GD showed increases in the respiratory variables (fR, VT and 𝑉 𝐺 ). However, the GD displayed higher values, since normóxia until severe hypoxia, to compensate the decrease in the EO2 resulting from the ablation of the 1st gill arches. Furthermore, the decrease in EO2 was responsible for the decrease in 𝑉 O2 and, consequently, for the increase of the PcO2 from 61 mmHg (GC) to 79 mmHg (GD). The GD featured bradycardia similar to GC, however, their values were higher in all PwO2. In hypoxia with access to air, both groups showed decrease in the fR and VAMP in the mores hypoxic tensions. This was attributed to the increases in the fRA in GC which compensate the O2 uptake. However, the GC increases in fRA were attenuated by the excision of the 1st gill arches. Moreover, both groups developed bradycardia pre-RA (typical of aquatic respirator) and tachycardia post-RA (typical of aerial respirator). Internal and external NaCN injections caused bradycardia in both groups, while the internal injections increased the ventilator variables only in GC. Thus, it is concluded that C. gariepinus possess branchial O2 chemoreceptors modulating the fH distributed by all gill arches, monitoring both PwO2 and PaO2. Conversely, fR and VAMP are modulated by receptors located in the 1st gill arches monitoring exclusively the PaO2. Furthermore, NaCN internal injections elevated more the fRA in GC than the external ones, but with low effect on the fRA of GD. Thus, the fRA is primarily modulated by O2 chemoreceptors located in the 1st gill arches monitoring, predominantly, the PaO2. Injections blocking the autonomic system to the heart showed that the modulation of pre-AR bradycardia and post-AR tachycardia occurs due to variations in the vagal cholinergic tonus, which is elevated during bradycardia and reduced during tachycardia. The adrenergic tonus, in spite of the decrease in the post-AR, is lower than the cholinergic, suggests a "reflex adrenergic" arising from the peripheral vasoconstriction, important to optimize the perfusion of the ABOs. / O bagre-africano é um teleósteo de respiração bimodal com ABOs presentes nos 2os e 4os arcos branquiais. Como outros respiradores bimodais, o bagre-africano realiza ajustes cardiorrespiratórios para sobreviver em baixas PwO2. Estes são modulados por quimiorreceptores de O2 branquiais que monitoram a PwO2 e/ou PaO2. O presente estudo analisou a distribuição, localização e orientação dos quimiorreceptores de O2 branquiais de Clarias gariepinus, seu controle sobre a função cardiorrespiratória e a modulação do controle autonômico do coração. Para isto, C. gariepinus foi dividido em dois grupos (controle GC; experimental GD, com ablação do 1o par de arcos branquiais) e seus parâmetros cardiorrespiratórios foram analisados durante hipóxia sem e com acesso ao ar atmosférico, injeções internas e externas de NaCN e injeções antagonistas do sistema autonômico. Durante hipóxia sem acesso ao ar os GC e GD elevaram os parâmetros respiratórios (fR, VT e 𝑉 𝐺 ). Porém, o GD apresentou-os superestimados desde normóxia, a fim de compensar a queda na extração de O2 (EO2) resultante da ablação dos 1os arcos branquiais. Além disso, o decréscimo da EO2 foi responsável pela diminuição da 𝑉 O2 , e, consequentemente, pelo aumento da PcO2 de 61 mmHg para 79 mmHg, nos GC e GD, respectivamente. Ainda, o GD apresentou bradicardia semelhante ao GC, porém seus valores foram superestimados em todas as PwO2. Em hipóxia com acesso ao ar ambos os grupos demonstraram diminuição da fR e da VAMP nas últimas PO2 devido principalmente a aumentos da fRA no GC que compensaram a absorção de O2. Todavia, no GD o aumento da fRA foi atenuado pela ablação dos 1os arcos branquiais. Além disso, ambos os grupos apresentaram bradicardia pré-RA (típica de respirador aquático) e taquicardia pós-RA (típica de respirador aéreo). Injeções externas e internas de NaCN causaram bradicardia nos GC e GD, enquanto as injeções internas aumentaram os parâmetros ventilatórios apenas no GC. Desta forma, conclui-se que C. gariepinus apresenta quimiorreceptores de O2 branquiais, que modulam a fH, distribuídos por todos arcos branquiais e que monitoram tanto a PwO2 quanto a PaO2. Ao contrário, a modulação da fR e VAMP ocorre apenas por quimiorreceptores de O2 do 1o par de arcos branquiais e que monitoram apenas a PaO2. Ainda, injeções internas de NaCN elevaram mais a fRA no GC que as externas, porém tiveram pouco efeito sobre a fRA do GD. Assim, a fRA é modulada principalmente por quimiorreceptores de O2 dos 1os arcos branquiais que, predominantemente, monitoram a PaO2. Injeções bloqueadoras do sistema autonômico do coração de C. gariepinus demonstraram que a modulação tanto da bradicardia pré-RA quanto da taquicardia pós-RA ocorre pela variação do tônus vagal colinérgico, sendo este tônus elevado na bradicardia, porém reduzido na taquicardia. O tônus adrenérgico, apesar de diminuir pós-RA, esta queda é menor que a do tônus colinérgico, o que sugere um reflexo adrenérgico advindo da vasoconstrição periférica importante para os respiradores bimodais perfundirem melhor seus ABOs.

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Un outil puissant dans le cadre des solutions algébro-géométriques des équations intégrables est l'identité de Fay sur des surfaces de Riemann compactes. Cette relation généralise une identité bien connue pour la fonction birapport dans le plan complexe. Elle permet d'établir des relations entre les fonctions theta et leurs dérivées. Cela offre une approche complémentaire aux solutions algébro-géométriques des équations intégrables avec certains avantages par rapport à l'utilisation des fonctions de Baker-Akhiezer. Cette méthode a été appliquée avec succès par Mumford et al. aux équations Korteweg-de Vries, Kadomtsev-Petviashvili et sine-Gordon. Selon cette approche, nous construisons des solutions algébro-géométriques des équations de Camassa-Holm et de Dym, ainsi que des solutions de l'équation de Schrödinger non linéaire à plusieurs composantes et des équations de Davey-Stewartson. Les limites solitoniques de ces solutions sont étudiées lorsque le genre de la surface de Riemann associée tombe à zéro. De plus, nous présentons une évaluation numérique des solutions algébro-géométriques des équations intégrables lorsque la surface de Riemann associée est réelle. / Fay's identity on Riemann surfaces is a powerful tool in the context of algebro-geometric solutions to integrable equations. This relation generalizes a well-known identity for the cross-ratio function in the complex plane. It allows to establish relations between theta functions and their derivatives. This offers a complementary approach to algebro-geometric solutions of integrable equations with certain advantages with respect to the use of Baker-Akhiezer functions. It has been successfully applied by Mumford et al. to the Korteweg-de Vries, Kadomtsev-Petviashvili and sine-Gordon equations. Following this approach, we construct algebro-geometric solutions to the Camassa-Holm and Dym type equations, as well as solutions to the multi-component nonlinear Schrödinger equation and the Davey-Stewartson equations. Solitonic limits of these solutions are investigated when the genus of the associated Riemann surface drops to zero. Moreover, we present a numerical evaluation of algebro-geometric solutions of integrable equations when the associated Riemann surface is real.