Spelling suggestions: "subject:"poincaré""
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Improved measure of orbital stability of rhythmic motionsKhazenifard, Amirhosein 30 November 2017 (has links)
Rhythmic motion is ubiquitous in nature and technology. Various motions of organisms like the heart beating and walking require stable periodic execution. The stability of the rhythmic execution of human movement can be altered by neurological or orthopedic impairment. In robotics, successful development of legged robots heavily depends on the stability of the controlled limit-cycle. An accurate measure of the stability of rhythmic execution is critical to the diagnosis of several performed tasks like walking in human locomotion. Floquet multipliers have been widely used to assess the stability of a periodic motion. The conventional approach to extract the Floquet multipliers from actual data depends on the least squares method. We devise a new way to measure the Floquet multipliers with reduced bias and estimate orbital stability more accurately. We show that the conventional measure of the orbital stability has bias in the presence of noise, which is inevitable in every experiment and observation. Compared with previous method, the new method substantially reduces the bias, providing acceptable estimate of the orbital stability with fewer cycles even with different noise distributions or higher or lower noise levels. The new method can provide an unbiased estimate of orbital stability within a reasonably small number of cycles. This is important for experiments with human subjects or clinical evaluation of patients that require effective assessment of locomotor stability in planning rehabilitation programs. / Graduate / 2018-11-22
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Anomalous enstrophy dissipation via triple collapse of point vortices in a Euler-Poincare system / Euler-Poincare型方程式における点渦の3体衝突が引き起こすエンストロフィー散逸Gotoda, Takeshi 23 March 2017 (has links)
京都大学 / 0048 / 新制・課程博士 / 博士(理学) / 甲第20154号 / 理博第4239号 / 新制||理||1610(附属図書館) / 京都大学大学院理学研究科数学・数理解析専攻 / (主査)教授 坂上 貴之, 教授 上田 哲生, 教授 國府 寛司 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DFAM
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Dehn surgery on knots in the Poincaré homology sphere:Caudell, Jacob January 2023 (has links)
Thesis advisor: Joshua E. Greene / We develop and implement obstructions to realizing a 3-manifold all of whose prime summands are lens spaces as Dehn surgery on a knot K in the Poincaré homology sphere, and in the process, we determine the knot Floer homology groups of a knot with such a surgery. We show that such a surgery never results in a 3-manifold with more than three non-trivial summands, and that if the result of surgery has exactly three non-trivial summands, then K is isotopic to a regular Seifert fiber. We furthermore identify the only two knots with half-integer lens space surgeries, and thus complete the classification of knots in the Poincaré homology sphere with non-integer lens space surgeries. We lastly show that a lens space L(p, q) that is realized as integer surgery on a knot K is realized as integer surgery on a Tange knot when p ≥ 2g(K). In order to do so, we build on Greene’s work on changemaker lattices and develop the theory of E8-changemaker lattices. / Thesis (PhD) — Boston College, 2023. / Submitted to: Boston College. Graduate School of Arts and Sciences. / Discipline: Mathematics.
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System Identification around periodic orbits with application to steady state human walkingWang, Yang 06 August 2013 (has links)
No description available.
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Engineering of Complex Optical Fields and Its ApplicationsHan, Wei 30 August 2013 (has links)
No description available.
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Discrete Approximations of Metric Measure Spaces with Controlled GeometryLopez, Marcos D. 19 October 2015 (has links)
No description available.
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Detekce fibrilace síní v EKG / ECG based atrial fibrillation detectionPlch, Vít January 2019 (has links)
This diploma thesis deals with detection of atrial fibrillation from HRV, classification of Poincare map and in the end the divide into two groups, one with detected atrial fibrillation and one not. The result is the decision on which variables are statistically significant for the identification of atrial fibrillations and which are not, and classification of the ECG signals.
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A la recherche des tores perdusNguyen, Tien Zung 23 November 2001 (has links) (PDF)
C'est l'histoire d'un mathématicien qui est allé à la recherche des tores perdus<br />dans la jungle des systèmes complètement intégrables. Il a trouvé des feuilles<br />particulières et des tores pour construire une petite cabane qui donne une vue<br />topologique sur la jungle.
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Dualité de Koszul des PROPsVallette, Bruno 09 December 2003 (has links) (PDF)
Nous généralisons la dualité de Koszul des algèbres et des opérades aux PROPs. Alors que les opérades sont des objets algébriques qui représentent les opérations à plusieurs entrées et une seule sortie sur les différents types d'algèbres, les PROPs modélisent les opérations à plusieurs entrées et plusieurs sorties agissant sur des structures algébriques telles que les bigèbres et les bigèbres de Lie. Nous introduisons un nouveau produit monoidal qui décrit les compositions entre ces opérations et nous restreignons notre étude à la partie connexe de chaque PROP, que nous appelons "propérade", par analogie avec les opérades. Nous généralisons aux propéades les différents objets homologiques associés aux algèbres et aux opérades comme les bar et cobar constructions, les modules et les propérades quasi-libres. Pour une propérade (resp. un PROP) donnée, nous construisons une copropérade (resp. un coPROP) dual ainsi qu'un complexe de Koszul dont l'acyclicité est un critère qui permet de déterminer si la cobar construction fournit une résolution quasi-libre, appelée modèle minimal, de la propérade (resp. du PROP) de départ. Pour démontrer ce théorème, nous introduisons une graduation supplémentaire qui provient ici des différents foncteurs analytiques engendrés par le produit monoidal. Cette théorie nous permet de définir des notions de "bigèbres" à homotopie près, sur un PROP de Koszul. Cette notion est l'équivalente au niveau des "bigèbres" de celle d'algèbre à homotpie près, qui est très importante en topologie algèbrique.
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Estudo de estabilidade e bifurcações em sistemas não-linearesProto, Vinícius Gorla [UNESP] 29 October 2013 (has links) (PDF)
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