Academic literature on the topic 'Toda system'

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Dissertations / Theses on the topic "Toda system"

1

Yang, Wen. "Some new results on the SU(3) Toda system and Lin-Ni problem." Thesis, University of British Columbia, 2015. http://hdl.handle.net/2429/54075.

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In this thesis, we mainly consider two problems. First, we study the SU(3) Toda system. Let (M,g) be a compact Riemann surface with volume 1, h₁ and h₂ be a C¹ positive function on M and p1; p2 ∈ ℝ⁺. The SU(3) Toda system is the following one on the compact surface M [Formula and equation omitted] where ∆ is the Beltrami-Laplace operator, αq ≥ 0 for every q ∈ S₁, S₁ ⊂ M, Bq ≥ 0 for every q ∈ S₂,S₂ ⊂ M and q is the Dirac measure at q ∈ M. We initiate the program for computing the Leray-Schauder topological degree of SU(3) Toda system and succeed in obtaining the degree formula for
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2

Quinn, Malcolm Eric. "A new completely integrable system on the symmetric periodic Toda lattice phase space." Thesis, Massachusetts Institute of Technology, 1995. http://hdl.handle.net/1721.1/36637.

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3

Cobandag, Melike. "Mortgage Systems And The Adaptation Of Mortgage System In Turkey: Analyzing The Housing Loans." Thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12611939/index.pdf.

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An efficient housing finance system has significant importance both in meeting the housing needs of individuals and in reinforcing the development of the construction, finance and other related sectors of an economy. Today, developed countries have advanced housing finance systems in which funds flow from savers to home-buyers by the mortgage markets. On the other hand, despite its recognized economic and social importance, housing finance often remains under-developed in developing countries mainly due to the lack of macroeconomic stability. Turkey, being a developing country, has made an imp
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4

Jevnikar, Aleks. "Variational aspects of Liouville equations and systems." Doctoral thesis, SISSA, 2015. http://hdl.handle.net/20.500.11767/4847.

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5

Maeda, Kazuki. "Theory of Discrete and Ultradiscrete Integrable Finite Lattices Associated with Orthogonal Polynomials and Its Applications." 京都大学 (Kyoto University), 2014. http://hdl.handle.net/2433/188859.

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6

Todt, Benjamin David. "Use of a two color LIDAR system to study atmospheric aerosols." Thesis, Montana State University, 2010. http://etd.lib.montana.edu/etd/2010/todt/TodtB0510.pdf.

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This thesis demonstrates the use of a two color lidar (light detection and ranging) instrument for the purpose of studying atmospheric aerosols. The instrument and the analysis techniques are explained and discussed to provide the necessary back-ground. The calibration is discussed and demonstrated followed by an example of the data analysis. The lidar's combination with a digital camera used to image cloud formations is then discussed and preliminary results are displayed.
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7

de, lechtenf@itp uni-hannover. "N=(2$|$2) Supersymmetric Toda Lattice Hierarchy in N=(2$|$2) Superspace." J. Nonlinear Math. Phys. 8 (2001) 183-195, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi913.ps.

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8

Benson, Stephen Ray. "Modern Digital Chirp Receiver: Theory, Design and System Integration." Wright State University / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=wright1450737245.

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9

Brillon, Laura. "Matrices de Cartan, bases distinguées et systèmes de Toda." Thesis, Toulouse 3, 2017. http://www.theses.fr/2017TOU30077/document.

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Dans cette thèse, nous nous intéressons à plusieurs aspects des systèmes de racines des algèbres de Lie simples. Dans un premier temps, nous étudions les coordonnées des vecteurs propres des matrices de Cartan. Nous commençons par généraliser les travaux de physiciens qui ont montré que les masses des particules dans la théorie des champs de Toda affine sont égales aux coordonnées du vecteur propre de Perron -- Frobenius de la matrice de Cartan. Puis nous adoptons une approche différente, puisque nous utilisons des résultats de la théorie des singularités pour calculer les coordonnées des vect
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10

Maspero, A. "BIRKHOFF COORDINATES OF INTEGRABLE HAMILTONIAN SYSTEMS IN ASYMPTOTIC REGIMES." Doctoral thesis, Università degli Studi di Milano, 2014. http://hdl.handle.net/2434/246796.

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In this thesis we investigate two examples of infinite dimensional integrable Hamiltonian systems in $1$-space dimension: the Toda chain with periodic boundary conditions and large number of particles, and the Korteweg-de Vries (KdV) equation on $\R$. In the first part of the thesis we study the Birkhoff coordinates (Cartesian action angle coordinates) of the Toda lattice with periodic boundary condition in the limit where the number $N$ of the particles tends to infinity. We prove that the transformation introducing such coordinates maps analytically a complex ball of radius $R/N^\alpha$
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