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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
261

Analyse de la stabilité des réseaux d'oscillateurs non linéaires, applications aux populations neuronales / Stability analysis of non-linear network scillator, neuronal population application

Conteville, Laurie 17 October 2013 (has links)
Il est bien connu que la synchronisation de l’activité oscillatoire dans les réseaux de neurones joue un rôle important dans le fonctionnement du cerveau et pour le traitement des informations données pas les neurones. Cette thèse porte sur l’analyse de l’activité de synchronisation en utilisant des outils et des méthodes issues de la théorie du contrôle et de la théorie de la stabilité. En particulier, deux modèles ont été étudiés pour décrire l’activité oscillatoire des réseaux de neurones : le modèle de Kuramoto et le modèle de Hindmarsh-Rose. Une partie de ce manuscript est consacrée à l’étude du modèle de Kuramoto, qui est un des systèmes les plus simples utilisé pour modéliser un réseau de neurones, avec une connexion complète (all-to-all). Il s’agit d’un modèle classique qui est utilisé comme une version simplifiée d’un réseau de neurones. Nous construisons un système linéaire qui conserve les informations sur les fréquences naturelles et sur les gains d’interconnexion du modèle original de Kuramoto. Les propriétés de stabilité de ce modèle sont ensuite analysées et nous montrons que les solutions de ce nouveau système linéaire convergent vers un cycle limite périodique et stable. Finalement, nous montrons que contraint au cycle limite, les dynamiques du système linéaire coïncident avec le modèle de Kuramoto. Dans une seconde partie, nous avons considéré un modèle de réseau de neurones plus proche de la réalité d’un point de vue biologique, mais qui est plus complexe que le modèle de Kuramoto. Plus précisément, nous avons utilisé le modèle de Hindmarsh-Rose pour décrire la dynamique de chaque neurone que nous avons interconnecté par un couplage diffusif (c’est à dire linéaire). A partir des propriétés de semi-passivité du modèle de Hindmarsh- Rose, nous avons analysé les propriétés de stabilité d’un réseau hétérogène de Rindmarsh-Rose. Nous avons également montré que ce réseau est pratiquement synchronisé pour une valeur suffisamment grande du gain d’interconnexion. D’autre part, nous avons caractérisé le comportement limite des neurones synchronisés et avons établi une approximation de ce comportement par une moyenne des dynamiques de tous les neurones. / It is widely recognized that rhythmic oscillatory activity in networks of neurons plays an important role in the brain functionning and a key role in processing neural information. This thesis is devoted to the analysis of this synchronized activity by using tools and methods issued from automatic control and stability theory. Two models are used to describe oscillatory activity of neural networks : Kuramoto model and network of Hindmarsh-Rose neurons. First, we consider Kuramoto model with complete (all-to-all) coupling, which is one of the simplest systems used to model neural network. For this model we construct an auxiliary linear system that preserves information on the natural frequencies and interconnection gains of the original Kuramoto model. Next, stability properties of this model are analyzed and we show that the solutions of the new linear system converge to a stable periodic limit cycle. Finally, we show that constrained to the limit cycle, dynamics of the linear system coincide with the original Kuramoto model. Second, a model for the network (population) with a better behavior, with respect to the Kuramoto model, from a biological point of view but more complex is considered. Particularly, we consider a network of diffusively coupled neurons where we use a Hindmarsh-Rose model to describe the dynamics of each individual neuron. Based on semi-passivity of individual Hindmarsh-Rose neurons, we analyse stability properties of a heterogeneous network of such neurons and show that network is practically synchronized for sufficient large values of interconnection gains. Moreover, we characterize the limiting synchronized behavior by using an averaging of all neuron dynamics.
262

Iconographie de Fortune au Moyen Âge et à la Renaissance (XIe-XVIe siècle) / Iconography of Fortune in the Middle Ages and the Renaissance (XIth-XVIth c.)

Vassilieva-Codognet, Olga 16 May 2017 (has links)
Ce travail sur l’iconographie de Fortune au Moyen Âge et à la Renaissance se base sur un corpus de plus d’un millier d’images dont seul un tiers y est reproduit. L'enquête commence par une nécessaire étude lexicographique qui permet de mieux cerner les sens du mot latin « fortuna » ainsi que ceux du mot français « fortune » entre le xie et le xvie siècle. Une seconde partie s’intéresse au motif iconographique de la Roue de Fortune médiévale – i.e. cette roue sur le pourtour de laquelle prennent place des personnages dont le premier monte, les second trône, le troisième tombe et le dernier gît à terre –, depuis sa genèse dans un manuscrit bénéventain datant des années 1060-1070 jusqu’à sa diffusion sur toutes sortes de supports (peinture murale, sculpture monumentale, mosaïque, etc.) ainsi qu’aux différents usages de ce motif (didactiques, emblématiques, divinatoires). Une troisième partie recense les nombreuses variantes que génère au fil des siècles ce très fécond motif : Roue de la Vie, Roues animales satiriques, Roue des Vicissitudes de l’Humanité, etc. Une quatrième partie étudie la personnification de Fortune qui apparaît au xiie siècle, tant dans les images que dans les textes, avant de devenir l’une des vedettes de l’iconographie de la fin du Moyen Âge, la figure de Fortune se retrouvant dans d’innombrables manuscrits de Boèce, Jean de Meun, Boccace ou Christine de Pizan. La cinquième et dernière partie est consacrée à la mutation que connaît Fortune à la Renaissance, mutation qui la voit changer tant de forme que de fonction, l’aveugle et duplice déesse du sort abandonnant alors sa fonction didactique – et la roue d’exemples qui va avec – pour devenir une accorte jeune femme nue à la mèche de cheveux flottant au vent dont la fonction est propitiatoire et l’usage emblématique. / This work on the iconography of Fortune in the Middle Ages and the Renaissance is based on more than one thousand images of which only one third is reproduced in the document. The study begins with a lexicographical study aiming at better understanding the various meanings of the Latin word « fortuna » and the French word « fortune » from the xith to the xvith centuries. The second section addresses the iconographical pattern of the mediaeval Wheel of Fortune – i.e. that wheel where four human beings occupy different positions on the rim: the first ascends, the second is enthroned, the third falls and the fourth lays on the ground – from its inception in a 1060-1070 Beneventan manuscript to its diffusion to various media (mural painting, monumental sculpture, mosaic, etc.) as well as its different uses (didactic, emblematic, divinatory). The third section identifies the numerous variations that this fertile pattern has generated over the centuries: Wheel of Life, satirical animal Wheels, Wheel of Vicissitudes of Humanity, etc. The fourth section studies the personification of Fortune which appears in the xiith century before becoming a star of late mediaeval iconography, her figure gracing innumerable manuscripts of Boethius, Jean de Meun, Giovanni Boccaccio or Christine de Pizan. The fifth and final section is devoted to Fortune’s mutation during the Renaissance: changing both form and function, the blind and treacherous goddess of fate gives up her didactic function – and the wheel of examples that comes with it – and becomes a beautiful naked woman with a forelock whose function is propitiatory and use emblematic.
263

Fitohemijski skrining i biološka aktivnost ekstrakata i tradicionalnih proizvoda od plodova divljih ruža (Rosa L.;Rosaceae) / Phytochemical screening and biological activity ofextracts and traditional preserves of rose hips (Rosa L., Rosaceae)

Nađpal Jelena 13 July 2017 (has links)
<p>&nbsp;&nbsp; Cilj ove doktorske disertacije predstavljalo je ispitivanje fitohemijskog sastava i biolo&scaron;ke aktivnosti vodenih i metanolnih ekstrakata svežih i suvih plodova, kao i voćne ka&scaron;e i džema pripremljenih po tradicionalnoj recepturi od plodova &scaron;est samoniklih vrsta <em>Rosa L.: R. canina, R. dumalis, R. dumetorum, R. tomentosa, R. arvensis, R. sempervirens. </em>Ispitivanje fitohemijskog sastava obuhvatalo je LC -MS/MS analizu 64 odabrana fenolna jedinjenja, hinske kiseline (organske kiseline) kao i tri triterpenoida. Takođe, izvr&scaron;eno je spektrofotometrijsko određivanje sadržaja ukupnih fenolnih i flavonoidnih jedinjenja, kao i vitamina C. Evaluacija biolo&scaron;ke aktivnosti obuhvatala je in vitro ispitivanja&nbsp; antioksidantne i antiinflamatorne aktivnosti, kao i ispitivanje uticaja ekstrakata odabranih vrsta Rosa na aktivnost enzima acetilholinesteraze i rast tumorskih i netumorskih ćelija.</p><p>&nbsp;&nbsp; Sumiranjem dobijenih rezultata može se zaključiti da sveži i suvi plodovi ispitivanih vrsta <em>Rosa</em>, kao i voćne ka&scaron;e i džemovi predstavljaju značajan izvor vitamina C i fenolnih jedinjenja, sa elagnom kiselinom kao najzastupljenijom fenolnom komponentom. Takođe u pojedinim ekstraktima vrsta<em> R. dumetorum</em> i<em> R. tomentosa</em> detektovana je visoka koncentracija ursolne kiseline, dok je hinska kiselina prisutna u značajnoj koncentraciji u svim ispitivanim ekstraktima.</p><p>&nbsp; &nbsp;Ekstrakti ispitivanih vrsta, izuzev vrste<em> Rosa arvensis</em>, pokazali su visok antioksidantni potencijal koji se ogleda u njihovoj sposobnosti neutralizacije nekoliko radikalskih vrsta, redukcionom potencijalu i sposobnosti inhibicije lipidne peroksidacije. Ispitivani ekstrakti ispoljili su umerenu antiinflamatornu aktivnost u pogledu inhibicije produkcije odabranih metabolita ciklooksigenaznog (12-HHT, TXB<sub>2</sub>, PGE<sub> 2</sub>) i 12-lipooksigenaznog (12-HETE) metaboličkog puta arahidonske kiseline,&nbsp; posebno prostaglandina E&nbsp; . Takođe, in vitro ispitivanjem uticaja ekstrakata odabranih vrsta Rosa na aktivnost acetilholinesteraze pokazana je umerena aktivnost. Vodeni ekstrakti i ekstrakti voćnih ka&scaron;a vrsta <em>R. canina, R. tomentosa i R. sempervirens</em> pokazali su umereni inhibitorni potencijal prema rastu HeLa ćelijske linije, dok su ekstrakti vrste <em>R. sempervirens </em>pokazali aktivnost i prema HT-29 ćelijama. Dobijeni rezultati ukazuju na značajni potencijal plodova i tradicionalnih proizvoda ispitivanih vrsta <em>Rosa</em> za upotrebu u proizvodnji nutraceutika i funkcionalne hrane.</p> / <p>&nbsp;&nbsp; The aim of presented doctoral thesis was investigation of phytochemical composition and biological activity of water and methanol extracts of fresh and air-&nbsp; dried rose hips, as well as pur&eacute;e and jam made according to traditional recipe of&nbsp; hips of six wild growing<em> Rosa L. species: R. canina, R. dumalis, R. dumetorum, R</em>.&nbsp; <em>tomentosa, R. arvensis, and R. sempervirens.</em> Examination of phytochemical composition included LC-MS/MS analysis of 64 selected phenolic compounds, quinic&nbsp; acid (organic acid) and three triterpenoids. Also, total phenolic and flavonoid contents, as well as vitamin C contents were determined spectrophotometrically. Biological activity evaluation of extracts of six <em>Rosa</em> species included in vitro investigation of antioxidant, anti- inflammatory, anti-acetylcholinesterase and cytotoxic activity.<br />&nbsp;&nbsp; According to obtained results, fresh and air-dried rose hips, as well as their preserves present valuable source of vitamin C and phenolic compounds, especially&nbsp; ellagic acid, which was the most abundant examined phenolic compound. Furthermore, high concentration of ursolic acid was detected in some<em> Rosa &nbsp;</em> <em>tomentosa and R.&nbsp; rumetorum</em> extracts, while notable concentration of quinic acid&nbsp; was present in all examined extracts.<br />&nbsp;&nbsp; Extracts of all examined species, apart from <em>Rosa arvensis</em>, showed considerable antioxidant activity in terms of radical scavenging ability, reduction potential and inhibition of lipid peroxidation. Moreover, extracts exhibited moderate anti- inflammatory activity by means of inhibition of the main arachidonic acid metabolites &nbsp; formed incyclooxygenase-1 (12-HHT, TXB<sub>2</sub>, PGE <sub>2</sub> ) and 12-lipoxygenase (12-HETE)&nbsp; pathway, especially prostaglandin E<sub>2</sub> . Also, investigation of anti- cetylcholinesterase&nbsp; activity revealed moderate activity of extracts of all examined species. In addition,&nbsp; predominantly water extracts of fresh andair-dried rose hips, as well as pur&eacute;e of<em> R</em>.&nbsp; <em>canina, R. tomentosa </em>and <em>R. sempervirens</em> showed inhibitory activity toward HeLa, while <em>R.sempervirens</em> extracts also inhibited HT-29 cell growth. Presented results indicate significant potential of examined rose hips and their preserves for use as nutraceuticals and functional food.</p>
264

Image, manuscript, print : Le Roman de la rose, ca. 1481-1538

Hartigan, Caitlin Carol January 2013 (has links)
This thesis examines the transmission and reception of images in Le Roman de la rose manuscripts and printed editions of the late fifteenth and early sixteenth centuries. Through in-depth case studies, I analyse how illustrators, editors, and readers used printed imagery in Rose books ca. 1481-1538, during the period of Rose printed edition production, exploring wider cross-disciplinary issues concerning the history of the book, the relationship between word and image, and readership practices following the advent of French printing. I argue that the mobility of printed imagery, which was facilitated in part by the wider dissemination of woodcuts in workshops, influenced the form and function of images in books. In addition, I problematize the 'transition' from manuscript to print in the later Middle Ages, through an investigation of artisans' personal and professional collaborations and evidence of image sharing between hand-illustrated and printed books. Bookmakers and readers used printed imagery in fascinating ways in books, appropriating and modifying woodcuts in order to engage with certain subjects and motifs. Readers' visual responses to books are under-examined, and I assess how readers' drawings add insight into their understanding of printed editions and those editions' visual iconography. French books contain a large body of evidence pertaining to image production and reception, but printed imagery is often overlooked, despite its potential to shed light on the practices of illustrators, editors, and readers. I provide new strategies for examining patterns of printed image production, circulation, and reception in the visual presentations of manuscripts and printed editions of this period. I also deepen understanding of the Rose and its consumption in the later Middle Ages and Renaissance, probing the role of images in books.
265

Alguns aspectos da semiótica da cultura de Iúri Lótman / Some aspects of Yuri Lotman\'s semiotics of culture

Ekaterina Volkova Américo 18 June 2012 (has links)
O presente trabalho tem por objetivo a análise da evolução da semiótica da cultura na obra de estudioso da cultura e literatura, crítico e filósofo russo Iúri Lótman por meio de traduções e dos comentários concernentes aos seus ensaios, escritos em diferentes épocas e dedicados aos principais conceitos da semiótica da cultura, tais como o fenômeno da cultura e os seus processos dinâmicos, o fenômeno da arte, o problema do texto, a memória cultural e a semiosfera. A obra de Lótman enquanto semioticista é inseparável do contexto histórico dos estudos da literatura, linguística, semiótica, cultura tanto na Rússia, quanto no Ocidente. Entre os seus precursores russos estão os escritores e os filósofos do século XIX e, no século XX, os simbolistas, os futuristas e os formalistas. A essência da semiótica da cultura lotmaniana começou a se formar no âmbito da Escola Semiótica de Tártu- Moscou e com a base na tradição dos estudos linguísticos, já nos trabalhos posteriores ela adquiriu um caráter mais filosófico, ao lidar com a imprevisibilidade dos processos culturais universais. Definimos ainda os pontos de coerência entre as ideias de Lótman e a obra dos estruturalistas e pós-estruturalistas franceses, além de Mikhail Bakhtin e Umberto Eco. / The present work aims at analyzing the development of semiotics of culture in the work of Russian culture and literature scholar, critic and philosopher Yuri Lotman through translation and commentary of his essays, written at different periods and dedicated to the core concepts of semiotics of culture, such as culture phenomenon and its dynamic processes, the phenomenon of art, the problem of the text, the cultural memory and semiosphere. Lotman`s work as a semiotician is inseparable from the historical context of the literature, linguistics, semiotics and culture studies both in Russia and the West. Among his precursors are Russian writers and philosophers of the nineteenth and twentiethcentury, the symbolists, futurists and formalists. The essence of Lotman`s semiotics of culture began to form in the Tartu-Moscow Semiotic School on the basis of language studies tradition, though in later works he developed a more philosophical approach, dealing with the unpredictability of universal cultural processes. Further, we point out the connection between Lotman\'s ideas and work of French structuralists and poststructuralists, Mikhail Bakhtin and Umberto Eco.
266

Figurações da sociedade americana no cinema de Woody Allen / Figurations of American society in Woody Allen's cinema

Martins, Glauber Ormundo Dias 20 April 2018 (has links)
Submitted by Filipe dos Santos (fsantos@pucsp.br) on 2018-06-28T13:16:57Z No. of bitstreams: 1 Glauber Ormundo Dias Martins.pdf: 415635 bytes, checksum: 63fa1de0d5b56e217bcf19dba75e8158 (MD5) / Made available in DSpace on 2018-06-28T13:16:57Z (GMT). No. of bitstreams: 1 Glauber Ormundo Dias Martins.pdf: 415635 bytes, checksum: 63fa1de0d5b56e217bcf19dba75e8158 (MD5) Previous issue date: 2018-04-20 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / This work analyzes two films by Woody Allen in the 1980s - Zelig and The Purple Rose of Cairo - using as methodologies sociological theories and literary and cinematographic critiques. With this, reflections od modernity and American history are analyzed / Este trabalho analisa dois filmes do diretor Woody Allen da década de 1980- Zelig e A rosa púrpura do Cairo- Usando como metodologias teorias sociológicas e de críticas literárias e cinematográficas. Com isto, reflexões a respeito da modernidade e da história americana são analisadas
267

Alguns aspectos da semiótica da cultura de Iúri Lótman / Some aspects of Yuri Lotman\'s semiotics of culture

Américo, Ekaterina Volkova 18 June 2012 (has links)
O presente trabalho tem por objetivo a análise da evolução da semiótica da cultura na obra de estudioso da cultura e literatura, crítico e filósofo russo Iúri Lótman por meio de traduções e dos comentários concernentes aos seus ensaios, escritos em diferentes épocas e dedicados aos principais conceitos da semiótica da cultura, tais como o fenômeno da cultura e os seus processos dinâmicos, o fenômeno da arte, o problema do texto, a memória cultural e a semiosfera. A obra de Lótman enquanto semioticista é inseparável do contexto histórico dos estudos da literatura, linguística, semiótica, cultura tanto na Rússia, quanto no Ocidente. Entre os seus precursores russos estão os escritores e os filósofos do século XIX e, no século XX, os simbolistas, os futuristas e os formalistas. A essência da semiótica da cultura lotmaniana começou a se formar no âmbito da Escola Semiótica de Tártu- Moscou e com a base na tradição dos estudos linguísticos, já nos trabalhos posteriores ela adquiriu um caráter mais filosófico, ao lidar com a imprevisibilidade dos processos culturais universais. Definimos ainda os pontos de coerência entre as ideias de Lótman e a obra dos estruturalistas e pós-estruturalistas franceses, além de Mikhail Bakhtin e Umberto Eco. / The present work aims at analyzing the development of semiotics of culture in the work of Russian culture and literature scholar, critic and philosopher Yuri Lotman through translation and commentary of his essays, written at different periods and dedicated to the core concepts of semiotics of culture, such as culture phenomenon and its dynamic processes, the phenomenon of art, the problem of the text, the cultural memory and semiosphere. Lotman`s work as a semiotician is inseparable from the historical context of the literature, linguistics, semiotics and culture studies both in Russia and the West. Among his precursors are Russian writers and philosophers of the nineteenth and twentiethcentury, the symbolists, futurists and formalists. The essence of Lotman`s semiotics of culture began to form in the Tartu-Moscow Semiotic School on the basis of language studies tradition, though in later works he developed a more philosophical approach, dealing with the unpredictability of universal cultural processes. Further, we point out the connection between Lotman\'s ideas and work of French structuralists and poststructuralists, Mikhail Bakhtin and Umberto Eco.
268

Fictions, critiques et théories littéraires dans « La Vie en rose » (1980-1987) : entre écriture féminine et conscience féministe

Nolet, Laurence 01 1900 (has links)
No description available.
269

Telling otherwise : rewriting history, gender, and genre in Africa and the African diaspora

Hilkovitz, Andrea Katherine 14 October 2011 (has links)
“Telling Otherwise: Rewriting History, Gender, and Genre in Africa and the African Diaspora” examines counter-discursive postcolonial rewritings. In my first chapter, “Re-Writing the Canon,” I examine two works that rewrite canonical texts from the European tradition, Jean Rhys’s retelling of the life of Jane Eyre’s Bertha in Wide Sargasso Sea and Maryse Condé’s relocation of Wuthering Heights to the Caribbean in La migration des coeurs. In this chapter, I contend that re-writing functions not only as a response, as a “writing back” to the canon, but as a creative appropriation of and critical engagement with the canonical text and its worldview. My second chapter, “Re-Storying the Past,” examines fictional works that rewrite events from the historical past. The works that I study in this chapter are Assia Djebar’s recuperation of Algerian women’s resistance to French colonization in L’amour, la fantasia and Edwidge Danticat’s efforts to reconstruct the 1937 massacre of Haitians under Trujillo in The Farming of Bones. In my third chapter, “Re-Voicing Slavery,” I take for my subject neo-slave narratives that build on and revise the slave narrative genre of the late eighteenth- through early twentieth- centuries. The two works that I examine in this chapter are Sherley Anne Williams’s Dessa Rose and the poem sequence Zong! by M. NourbeSe Philip, based on the 1781 murder of Africans aboard the slave ship Zong. My fourth chapter, “Re-Membering Gender,” examines texts that foreground the processes of re-writing and re-telling, both thematically and structurally, so as to draw attention to the ways in which discourses and identities are constructed. In their attempts to counter masculinist discourses, these works seek to re-inscribe gender into these discourses, a process of re-membering that engenders a radical deconstruction of fixed notions of identity. The works that I read in this chapter include Daniel Maximin’s L’Isolé soleil, which privileges the feminine and the multiple in opposition to patriarchal notions of single origins and authoritative narrative voices and Maryse Condé’s Traversée de la Mangrove, which rewrites Patrick Chamoiseau’s novel Solibo Magnifique so as to critique the exclusive nature of Caribbean identity in his notion of créolité. / text
270

Modélisation multi-échelle et simulation numérique de l’érosion des sols de la parcelle au bassin versant / Multiscale modelling and numerical simulation of soil erosion by water from the plot scale to the catchment scale

Le, Minh Hoang 26 November 2012 (has links)
L’objectif global de ce travail est d’étudier une modélisation multi échelle et de développer une méthode adaptée pour la simulation numérique du processus d’érosion à l’échelle du bassin versant. Après avoir passé en revue les différents modèles existants, nous dérivons une solution analytique non triviale pour le système couplé modélisant le transport de sédiments par charriage. Ensuite, nous étudions l’hyperbolicité de ce système avec diverses lois de sédimentation proposées dans la littérature. Concernant le schéma numérique, nous présentons le domaine de validité de la méthode de splitting, pour les équations modélisant l’écoulement et celle décrivant l’évolution du fond. Pour la modélisation du transport en suspension à l’échelle de la parcelle, nous présentons un système d’équations couplant les mécanismes d’infiltration, de ruissellement et le transport de plusieurs classes de sédiments. L’implémentation et des tests de validation d’un schéma d’ordre élevé et de volumes finis bien équilibré sont également présentés. Ensuite, nous discutons sur l’application et la calibration du modèle avec des données expérimentales sur dix parcelles au Niger. Dans le but d’aboutir la simulation à l’échelle du bassin versant, nous développons une modélisation multi échelle dans laquelle nous intégrons le taux d’inondation dans les équations d’évolution afin de prendre en compte l’effet à petite échelle de la microtopographie. Au niveau numérique, nous étudions deux schémas bien équilibrés : le schéma de Roe basé sur un chemin conservatif, et le schéma avec reconstruction hydrostatique généralisée. Enfin, nous présentons une première application du modèle avec les données expérimentales du bassin versant de Ganspoel qui nécessite la parallélisation du code. / The overall objective of this thesis is to study a multiscale modelling and to develop a suitable method for the numerical simulation of soil erosion on catchment scale. After reviewing the various existing models, we derive an analytical solution for the non-trivial coupled system modelling the bedload transport. Next, we study the hyperbolicity of the system with different sedimentation laws found in the literature. Relating to the numerical method, we present the validity domain of the time splitting method, consisting in solving separately the Shallow-Water system (modelling the flow routing) during a first time step for a fixed bed and updating afterward the topography on a second step using the Exner equation. On the modelling of transport in suspension at the plot scale, we present a system coupling the mechanisms of infiltration, runoff and transport of several classes of sediment. Numerical implementation and validation tests of a high order wellbalanced finite volume scheme are also presented. Then, we discuss on the model application and calibration using experimental data on ten 1 m2 plots of crusted soil in Niger. In order to achieve the simulation at the catchment scale, we develop a multiscale modelling in which we integrate the inundation ratio in the evolution equations to take into account the small-scale effect of the microtopography. On the numerical method, we study two well-balanced schemes : the first one is the Roe scheme based on a path conservative, and the second one is the scheme using a generalized hydrostatic reconstruction. Finally, we present a first model application with experimental data of the Ganspoel catchment where the parallel computing is also motived.

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