Dissertations / Theses on the topic 'Integrable'
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Meng, Jinghan. "Bi-Integrable and Tri-Integrable Couplings and Their Hamiltonian Structures." Scholar Commons, 2012. http://scholarcommons.usf.edu/etd/4371.
Full textParini, Robert Charles. "Classical integrable field theories with defects and near-integrable boundaries." Thesis, University of York, 2018. http://etheses.whiterose.ac.uk/20428/.
Full textCalini, Annalisa Maria. "Integrable curve dynamics." Diss., The University of Arizona, 1994. http://hdl.handle.net/10150/186987.
Full textSaksida, Pavle. "Geometry of integrable systems." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.308545.
Full textCheng, Y. "Theory of integrable lattices." Thesis, University of Manchester, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.568779.
Full textMoorhouse, Thomas. "Methods for integrable systems." Thesis, Durham University, 1994. http://etheses.dur.ac.uk/5484/.
Full textBerntson, B. K. "Integrable delay-differential equations." Thesis, University College London (University of London), 2017. http://discovery.ucl.ac.uk/1566618/.
Full textHadad, Yaron. "Integrable Nonlinear Relativistic Equations." Diss., The University of Arizona, 2013. http://hdl.handle.net/10150/293490.
Full textMcAnally, Morgan Ashley. "Generalized D-Kaup-Newell integrable systems and their integrable couplings and Darboux transformations." Scholar Commons, 2017. https://scholarcommons.usf.edu/etd/7423.
Full textJetzer, Frédéric. "Completely integrable systems on supermanifolds." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0020/NQ55399.pdf.
Full textRempel, William. "Curve evolution and integrable systems." Thesis, McGill University, 2010. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=95240.
Full textDans cette thèse, on explique le lien entre les systèmes d'équations d'évolution complètement intégrables et l'évolution des invariants différentiels de l'action d'un groupe dans le cas particulier d'une courbe dans Rⁿ , sous l'action du produit semidirect d'un groupe G avec Rⁿ, où G est semisimple, tel que présenté par Marì-Beffa. Cette connection fait intervenir la théorie de repères mobiles de Fels et Olver, les systèmes hamiltoniens de dimension infinie et les crochets de Poisson, ainsi que les groupes et algèbres de lacets à extension centrale. On présente aussi un ré́sumé de la théorie pertinente des groupes et algèbres Lie et des invariants différentiels ainsi que les symmétries d'équations différentielles.
Yu, Lei. "Reductions of dispersionless integrable hierarchies." Thesis, Imperial College London, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.395540.
Full textBaraglia, David. "G2 geometry and integrable systems." Thesis, University of Oxford, 2009. http://ora.ox.ac.uk/objects/uuid:30cf9c7c-157e-4204-b68b-08f6e199ef36.
Full textLöbner, Clemens. "Integrable Approximations for Dynamical Tunneling." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-178216.
Full textTypische Hamiltonsche Systeme haben einen gemischten Phasenraum, in dem disjunkte Bereiche klassisch regulärer und chaotischer Dynamik koexistieren. Für viele Anwendungen ist es zweckmäßig, die reguläre Dynamik eines solchen gemischten Systems H durch eine integrable Näherung Hreg zu beschreiben. Wir stellen eine neue, iterative Methode vor, um solche integrablen Näherungen zu konstruieren. Diese Methode basiert auf der Konstruktion einer integrablen Näherung in Winkel-Wirkungs-Variablen, die im Phasenraum durch iterative Anwendungen kanonischer Transformationen verbessert wird. Im Gegensatz zu bisher bekannten Verfahren bleibt unsere Methode auch auf stark nichtintegrable Systeme H anwendbar. Wir demonstrieren sie anhand von 2D-Abbildungen und 2D-Billards. Mit den gewonnenen integrablen Näherungen diskutieren wir schließlich die theoretische Beschreibung von dynamischem Tunneln in gemischten Systemen
Mulvey, Joseph Anthony. "Symmetry methods for integrable systems." Thesis, Durham University, 1996. http://etheses.dur.ac.uk/5379/.
Full textSun, Yi Ph D. Massachusetts Institute of Technology. "Quantum intertwiners and integrable systems." Thesis, Massachusetts Institute of Technology, 2016. http://hdl.handle.net/1721.1/104579.
Full textCataloged from PDF version of thesis.
Includes bibliographical references (pages 223-229).
We present a collection of results on the relationship between intertwining operators for quantum groups and eigenfunctions for quantum integrable systems. First, we study the Etingof-Kirillov Jr. expression of Macdonald polynomials as traces of intertwiners of quantum groups in the Gelfand-Tsetlin basis. In the quasiclassical limit, we obtain a new Harish-Chandra type integral formula for Heckman- Opdam hypergeometric functions. This formula is related to an integral formula appearing in recent work of Borodin-Gorin by integration over Liouville tori of the Gelfand-Tsetlin integrable system. At the quantum level, we obtain a new proof of the branching rule for Macdonald polynomials which transparently relates branching of Macdonald polynomials to branching of quantum group representations. Second, we study traces of intertwiners for quantum affine algebras. In the sl2 case, we show that, when valued in the three-dimensional evaluation representation, such traces converge in a certain region of parameters and provide a representation-theoretic construction of Felder-Varchenko's hypergeometric solutions to the q-KZB heat equation. This gives the first proof that such a trace function converges and resolves the first case of a conjecture of Etingof-Varchenko. As an application, we prove Felder-Varchenko's conjecture that their elliptic Macdonald polynomials are related to Etingof-Kirillov Jr.'s affine Macdonald polynomials. In the general case, we modify the setting of the work of Etingof-Schiffmann-Varchenko to show that traces of such intertwiners satisfy four commuting systems of q-difference equations - the Macdonald-Ruijsenaars, dual Macdonald-Ruijsenaars, q-KZB, and dual q-KZB equations.
by Yi Sun.
Ph. D.
Mei, Zhongtao. "Wave Functions of Integrable Models." University of Cincinnati / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1530880774625297.
Full textOhyama, Yousuke. "Self-duality and Integrable Systems." 京都大学 (Kyoto University), 1990. http://hdl.handle.net/2433/86420.
Full textKiesenhofer, Anna. "Integrable systems on b-symplectic manifolds." Doctoral thesis, Universitat Politècnica de Catalunya, 2016. http://hdl.handle.net/10803/457145.
Full textEl estudio de variedades b-simplécticas se inició en 2012 con el trabajo de Victor Guillemin, Eva Miranda y Ana Rita Pires (Adv. Math. 264 (2014), 864-896). Estas variedades que pueden ser interpretadas como variedades simplécticas con singularidades se han convertido en un campo de investigación muy activo. Desde el punto de vista de estructuras de Poisson, una variedad b-sympléctica se define como una variedad de dimensión par (orientada) $M^{2n}$ con una estructura de Poisson $\Pi$ tal que $\Pi^n$ se anula transversalmente como sección del fibrado $¿^{2n}TM$. Esta tesis contribuye resultados importantes en geometría y dinámica de estas variedades b-simplécticas. Tras explicar las nociones básicas sobre variedades de Poisson y variedades b-simplécticas introducimos las definiciones de sistemas integrables en estas variedades. En el caso de variedades b-simplécticas los sistemas integrables que investigamos son llamados "sistemas b-integrables". Los resultados principales de esta tesis son teoremas de coordenadas acción-ángulo para sistemas b-integrables en el caso conmutativo y no conmutativo [KMS, KM2]. Este teorema demuestra la existencia de toros invariantes, llamados toros de Liouville, en el conjunto singular de la variedad b-simpléctica, y su estructura b-simpléctica en un entorno del toro. Posteriormente presentamos un modelo cotangente que nos permite de identificar un entorno de un toro Liouville con un tipo de lift cotangente de una acción de un toro [KM1]. Estos modelos también nos permiten la construcción de ejemplos de sistemas b-integrables utilizando acciones de un toro como punto de partida. El teorema de coordenadas acción-ángulo es la motivación para explorar la estibilidad de sistemas b-integrables de manera analoga al resultado clásico de la teoria KAM para variedades simplécticas. Nuestro teorema KAM demuestra la existencia de un "gran número" de toros Liouville que son invariantes bajo pequeñas perturbaciones de cierta forma. Para terminar, presentamos varios ejemplos de estructuras simplécticas singulares que aparecen como resultado de transformaciones non-canónicas en la regularización de singularidades en mecánica celeste [DKM].
Pehlivan, Yamac. "Matrix Quantum Mechanics And Integrable Systems." Phd thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/12605065/index.pdf.
Full texts model which is due to B. Sutherland. The search for a Gaudin-like algebraic structure which is in a similar relationship with the spin extension of Sutherland'
s model naturally leads to the above mentioned q-deformation of Gaudin algebra. The deformation parameter q and the periodicity d of the Sutherland model are related by the formula q=i{pi}/d.
Hajjar, Ara. "An integrable mixed-signal test system." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape8/PQDD_0027/MQ50616.pdf.
Full textHajjar, Ara. "An integrable mixed-signal test system /." Thesis, McGill University, 1998. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=21298.
Full textA memory-based generator is used to construct the stimulus generation component. Such a circuit repeats a finite portion of an infinite-length PDM sequence in order to produce any arbitrary analog waveform. The circuitry is simple to design---it is comprised of a scan chain, and a 1-bit DAC; it is also area-efficient and robust (mostly digital design). Furthermore, since the analog signal is generated from a digital bit-stream, it is both stable and repeatable.
The extraction component of the test system focuses on the capture of steady-state type responses. A novel A/D algorithm is presented: the Multi-Pass technique. By taking advantage of repetitive waveforms, the Multi-Pass convertor achieves both area-efficiency and high-speed performance. A single on-chip comparator and sample-and-hold circuit is sufficient to extract analog waveforms. In addition, a novel, area-efficient, integrable, and highly-linear voltage reference design is presented.
Experimental results from two prototype boards serve to validate the proposed test system design. The first board implements the system using discrete components; the second makes use of a custom IC fabricated in a 0.5 mum CMOS process. The work presented in this thesis provides the groundwork for obtaining a practical and fully integrable mixed signal test system.
McCarthy, Oscar Daniel. "Dispersionless integrable systems of KdV type." Thesis, University of Hull, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.395435.
Full textSooman, Craig. "Soliton solutions of noncommutative integrable systems." Thesis, University of Glasgow, 2010. http://theses.gla.ac.uk/1449/.
Full textMacfarlane, Susan R. "Quasideterminant solutions of noncommutative integrable systems." Thesis, University of Glasgow, 2010. http://theses.gla.ac.uk/1887/.
Full textHassan, M. U. "Aspects of integrable nonlinear sigma models." Thesis, University of Cambridge, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.603844.
Full textAdamopoulou, Panagiota-Maria. "Differential equations and quantum integrable systems." Thesis, University of Kent, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.655223.
Full textBeck, Florian [Verfasser], Emanuel [Akademischer Betreuer] Scheidegger, and Katrin [Akademischer Betreuer] Wendland. "Hitchin and calabi-yau integrable systems." Freiburg : Universität, 2016. http://d-nb.info/1125905840/34.
Full textStrachan, Ian Alexander Becket. "The twistor description of integrable systems." Thesis, Durham University, 1991. http://etheses.dur.ac.uk/5863/.
Full textDimakos, Michail. "Linear, linearisable and integrable nonlinear PDEs." Thesis, University of Cambridge, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.607875.
Full textNieri, Fabrizio. "Integrable structures in supersymmetric gauge theories." Thesis, University of Surrey, 2015. http://epubs.surrey.ac.uk/808914/.
Full textBianchini, D. "Entanglement entropy in integrable quantum systems." Thesis, City, University of London, 2016. http://openaccess.city.ac.uk/17490/.
Full textWICKRAMASINGHE, J. M. A. S. P. "MESOSCOPIC FEATURES OF CLASSICALLY INTEGRABLE SYSTEMS." University of Cincinnati / OhioLINK, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1140806635.
Full textWalker, Alan James. "Similarity reductions and integrable lattice equations." Thesis, University of Leeds, 2001. http://etheses.whiterose.ac.uk/7190/.
Full textKameyama, Takashi. "Integrable deformations of the AdS5×S5 superstring." 京都大学 (Kyoto University), 2016. http://hdl.handle.net/2433/215302.
Full textKyoto University (京都大学)
0048
新制・課程博士
博士(理学)
甲第19489号
理博第4149号
新制||理||1596(附属図書館)
32525
京都大学大学院理学研究科物理学・宇宙物理学専攻
(主査)教授 畑 浩之, 教授 田中 貴浩, 教授 川合 光
学位規則第4条第1項該当
Sorrell, Mark. "Quantum integrable systems and Schrodinger Eigenvalue problems." Thesis, Heriot-Watt University, 2008. http://hdl.handle.net/10399/2176.
Full textDunajski, Maciej. "The nonlinear graviton as an integrable system." Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.298312.
Full textWilbourne, Ruth Margaret. "Integrable boundary flows and the g-function." Thesis, Durham University, 2012. http://etheses.dur.ac.uk/4939/.
Full textNewsham, Samantha. "Linear systems and determinants in integrable systems." Thesis, Lancaster University, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.663238.
Full textWacheux, Christophe. "Semi-toric integrable systems and moment polytopes." Phd thesis, Université Rennes 1, 2013. http://tel.archives-ouvertes.fr/tel-00932926.
Full textRashid, Maher S. "Quasi-integrable models in (2+1) dimensions." Thesis, Durham University, 1992. http://etheses.dur.ac.uk/5780/.
Full textWard, Nicholas Frank Dudley. "Atomic decompositions of integrable or continuous functions." Thesis, University of York, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.306356.
Full textArnaudon, Alexis. "Geometric deformations of integrable systems and beyond." Thesis, Imperial College London, 2017. http://hdl.handle.net/10044/1/54827.
Full textAlsallami, Shami Ali M. "Discrete integrable systems and geometric numerical integration." Thesis, University of Leeds, 2018. http://etheses.whiterose.ac.uk/22291/.
Full textHawkins, Michael Stuart. "Local conservation laws in quantum integrable systems." Thesis, University of Birmingham, 2009. http://etheses.bham.ac.uk//id/eprint/282/.
Full textHone, Andrew N. W. "Integrable systems and their finite-dimensional reductions." Thesis, University of Edinburgh, 1996. http://hdl.handle.net/1842/15044.
Full textGreenman, Chris. "The spacing distributions of arithmetical integrable systems." Thesis, University of Edinburgh, 1995. http://hdl.handle.net/1842/14949.
Full textWinn, Amanda Elizabeth. "Some classical integrable systems with topological solitons." Thesis, Durham University, 1999. http://etheses.dur.ac.uk/4309/.
Full textSatta, Giovanni. "Algebraic approach to supersymmetric integrable spin chains." Chambéry, 2008. http://www.theses.fr/2008CHAMS001.
Full textThese thesis deals with the mathematical theory underlying the construction and solution of a particular class of exactly solvable quantum systems : its aim is to use Lie superalgebras as a tool to build and solve integrable quantum spin chains. We develope a general and systematic approach allowing one to build and simultaneously treat a large class of integrable systems sharing the same supersymmetry, ranging from the well known case where all sites carry the fundamental representation (e. G. The t-J model), to more complicated situations of physical interest including alternating spin chains, chains with impurities etc. The two first chapters are devoted to a review of known results about the Yangian of the general Lie super algebra gℓ(m|n), necessary to introduce the graded version of the quantum inverse scattering method. We then apply our approach to periodic spin chains in chapter 3 and to opens spin chains in chapter 4. In this chapter, the supersymmetric counterparts of the reflection algebra and of the twisted Yangian are studied, these being the algebraic structures that allow one to impose boundary conditions that preserve integrability. In the last chapter the fusion method for spin chains with sℓ(1|2) supersymmetry is treated in detail. The solution method we use, both in the closed and open case, is the generalization to the supersymmetric case of the analytical Bethe Ansatz, in which the Bethe equations parametrizing the quantum numbers of the system are obtained as analyticity conditions for the spectrum of the hamiltonians
HENRIET, GILDAS. "Etude, realisation et caracterisation d'un oscillateur integrable." Paris 6, 1991. http://www.theses.fr/1991PA066156.
Full text