Academic literature on the topic 'Matrice de monodromie'

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Journal articles on the topic "Matrice de monodromie"

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Sauloy, Jacques. "Systèmes aux $q$-différences singuliers réguliers : classification, matrice de connexion et monodromie." Annales de l’institut Fourier 50, no. 4 (2000): 1021–71. http://dx.doi.org/10.5802/aif.1784.

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Sauloy, Jacques. "Matrice de connexion d'un système aux q-différences confluant vers un système différentiel et matrices de monodromie." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 328, no. 2 (1999): 155–60. http://dx.doi.org/10.1016/s0764-4442(99)80155-4.

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GIORGADZE, G. "MONODROMY APPROACH TO QUANTUM COMPUTING." International Journal of Modern Physics B 16, no. 30 (2002): 4593–605. http://dx.doi.org/10.1142/s0217979202014607.

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In this work, a gauge approach to quantum computing is considered. It is assumed that there exists a classical procedure for placing certain classical system in a state described by a holomorphic vector bundle with connection with logarithmic singularities. This bundle and its connection are constructed with the aid of unitary operators realizing the given algorithm using methods of the monodromic Riemann–Hilbert problem. Universality is understood in the sense that for any collection of unitary matrices there exists a connection with logarithmic singularities whose monodromy representation in
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Tarasov, Vitaly. "Cyclic monodromy matrices forsl(n) trigonometricR-matrices." Communications in Mathematical Physics 158, no. 3 (1993): 459–83. http://dx.doi.org/10.1007/bf02096799.

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Semenov-Tian-Shansky, M. A. "Monodromy map and classicalr-matrices." Journal of Mathematical Sciences 77, no. 3 (1995): 3236–42. http://dx.doi.org/10.1007/bf02364717.

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FELDER, G., V. TARASOV, and A. VARCHENKO. "MONODROMY OF SOLUTIONS OF THE ELLIPTIC QUANTUM KNIZHNIK–ZAMOLODCHIKOV–BERNARD DIFFERENCE EQUATIONS." International Journal of Mathematics 10, no. 08 (1999): 943–75. http://dx.doi.org/10.1142/s0129167x99000410.

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The elliptic quantum Knizhnik–Zamolodchikov–Bernard (qKZB) difference equations associated to the elliptic quantum group Eτ,η(sl2) is a system of difference equations with values in a tensor product of representations of the quantum group and defined in terms of the elliptic R-matrices associated with pairs of representations of the quantum group. In this paper we solve the qKZB equations in terms of elliptic hypergeometric functions and describe the monodromy properties of solutions. It turns out that the monodromy transformations of solutions are described in terms of elliptic R-matrices ass
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Amel’kin, V. V., and M. N. Vasilevich. "Construction of the Fuchs equation with four given finite critical points and a given reducible monodromy group in the resonance case." Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series 55, no. 2 (2019): 199–206. http://dx.doi.org/10.29235/1561-2430-2019-55-2-199-206.

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One inverse problem of the analytic theory of linear differential equations is considered. Namely, the completely integrable Fuchs equation with four given finite critical points and a given reducible monodromy group of rank 2 on the complex projective line is constructed. Reducibility of the monodromy group of rank 2 means that 2×2-monodromy matrices (the generators of the monodromy group) can be simultaneously reduced by a linear nonsingular transformation to an upper triangular form. In so doing we study the case when the eigenvalue ξj of the diagonal matrix of the monodromy formal exponent
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KAWAGUCHI, IO, TAKUYA MATSUMOTO, and KENTAROH YOSHIDA. "THE CLASSICAL EQUIVALENCE OF MONODROMY MATRICES IN SQUASHED SIGMA MODEL." International Journal of Modern Physics: Conference Series 21 (January 2013): 180–81. http://dx.doi.org/10.1142/s2010194513009707.

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We show Yangian and quantum affine symmetries are realized in two-dimensional non-linear sigma models with squashed spheres target spaces. According to these symmetries, there are two descriptions for the classical dynamics. In each description, a Lax pair and the corresponding monodromy matrix are constructed. Both Lax pairs reproduce the same equations of motion and hence they are equivalent. We show the gauge-equivalence by constructing a map between monodromy matrices with the relation of spectral parameters.
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TARASOV, VITALY O. "CYCLIC MONODROMY MATRICES FOR THE R-MATRIX OF THE SIX-VERTEX MODEL AND THE CHIRAL POTTS MODEL WITH FIXED SPIN BOUNDARY CONDITIONS." International Journal of Modern Physics A 07, supp01b (1992): 963–75. http://dx.doi.org/10.1142/s0217751x92004129.

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Irreducible cyclic representations of the algebra of monodromy matrices corresponding to the R-matrix of the six-vertex model are described. As a consequence, the direct computation of spectra for transfer-matrices of the chiral Potts model with special fixed-spin boundary conditions is done. The generalization of simple Baxter's Hamiltonian is proposed.
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Furlan, P., and L. Hadjiivanov. "Quantum $\widehat{su}(n)_k$ monodromy matrices." Journal of Physics A: Mathematical and Theoretical 45, no. 16 (2012): 165202. http://dx.doi.org/10.1088/1751-8113/45/16/165202.

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Dissertations / Theses on the topic "Matrice de monodromie"

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Metelkina, Asya. "Perturbations à oscillations lentes de l'opérateur de Schrödinger périodique." Phd thesis, Université Paris-Nord - Paris XIII, 2011. http://tel.archives-ouvertes.fr/tel-00714033.

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On étudie l'opérateur de Schrödinger Ha + V(x) + W(x dans L où V est un potentiel périodique générique. On suppose que w est périodique et a (O, 1) de sorte que la perturbation W(x soit à oscillations asymptotiquement lentes. On étudie l'asymptotique des solutions de l'équation propre associée par deux approches différentes. La première approche, qui est basée sur une méthode de Sirnon---Zhu, utilise des approximations périodiques. On obtient une formule explicite pour la densité d'états intégrée pour Ha. Puis, on prouve l'existence et on donne une formule pour l'exposant de Lyapounov pour pre
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Gardiner, Matthew Raymond. "Conserved charges, monodromy matrices and solitons in MKDV theory." Thesis, King's College London (University of London), 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.322761.

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Fedosov, Boris, Bert-Wolfgang Schulze, and Nikolai Tarkhanov. "On the index formula for singular surfaces." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2511/.

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In the preceding paper we proved an explicit index formula for elliptic pseudodifferential operators on a two-dimensional manifold with conical points. Apart from the Atiyah-Singer integral, it contains two additional terms, one of the two being the 'eta' invariant defined by the conormal symbol. In this paper we clarify the meaning of the additional terms for differential operators.
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Fedosov, Boris, Bert-Wolfgang Schulze, and Nikolai N. Tarkhanov. "The index of higher order operators on singular surfaces." Universität Potsdam, 1998. http://opus.kobv.de/ubp/volltexte/2008/2512/.

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The index formula for elliptic pseudodifferential operators on a two-dimensional manifold with conical points contains the Atiyah-Singer integral as well as two additional terms. One of the two is the 'eta' invariant defined by the conormal symbol, and the other term is explicitly expressed via the principal and subprincipal symbols of the operator at conical points. In the preceding paper we clarified the meaning of the additional terms for first-order differential operators. The aim of this paper is an explicit description of the contribution of a conical point for higher-order differential
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Dietz, Gunnar [Verfasser]. "The braid group representation on intersection matrices and monodromy of singularities / vorgelegt von Gunnar Dietz." 2005. http://d-nb.info/993199801/34.

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Lambert, Caroline. "Classification analytique de systèmes différentiels linéaires déployant une singularité irrégulière de rang de Poincaré 1." Thèse, 2010. http://hdl.handle.net/1866/4430.

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Cette thèse traite de la classification analytique du déploiement de systèmes différentiels linéaires ayant une singularité irrégulière. Elle est composée de deux articles sur le sujet: le premier présente des résultats obtenus lors de l'étude de la confluence de l'équation hypergéométrique et peut être considéré comme un cas particulier du second; le deuxième contient les théorèmes et résultats principaux. Dans les deux articles, nous considérons la confluence de deux points singuliers réguliers en un point singulier irrégulier et nous étudions les conséquences de la divergence des solutio
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Morant, Simão António da Rocha e. Brito de Aguiã. "Space tether systems uniform rotations of a Dumbbell-like System." Master's thesis, 2014. http://hdl.handle.net/10400.6/5272.

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In this dissertation, a dumbbell-like system is analyzed, considering two mass points connected by a massless and rigid tether with variable length; its center of mass moves along an elliptic Keplerian orbit. This kind of a system, in a certain type of configurations, is a simple conceptualization of a space elevator. The system motion is obtained using the Lagrangian formulation in a central gravitational field. The laws of control are considered for the system’s rotation around its center of mass; those include the uniform rotations or permanent orientation with respect to the local vertical
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Books on the topic "Matrice de monodromie"

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Peter, Sarnak, ed. Random matrices, Frobenius eigenvalues, and monodromy. American Mathematical Society, 1999.

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Forme de Jordan de la monodromie des singuarités superisolées de surfaces. American Mathematical Society, 1994.

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Book chapters on the topic "Matrice de monodromie"

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Licata, Joan E., and Daniel V. Mathews. "Morse Structures on Partial Open Books with Extendable Monodromy." In MATRIX Book Series. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72299-3_15.

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Hadjiivanov, Ludmil, and Paolo Furlan. "On Quantum WZNW Monodromy Matrix: Factorization, Diagonalization, and Determinant." In Lie Theory and Its Applications in Physics. Springer Japan, 2013. http://dx.doi.org/10.1007/978-4-431-54270-4_20.

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Buslaev, Vladimir, and Alexander Fedotov. "The functional structure of the monodromy matrix for Harper’s equation." In Mathematical Results in Quantum Mechanics. Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-8545-4_38.

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"Monodromy of families of curves." In Random Matrices, Frobenius Eigenvalues, and Monodromy. American Mathematical Society, 1998. http://dx.doi.org/10.1090/coll/045/11.

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"Monodromy of some other families." In Random Matrices, Frobenius Eigenvalues, and Monodromy. American Mathematical Society, 1998. http://dx.doi.org/10.1090/coll/045/12.

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Eckle, Hans-Peter. "General Square Lattice Vertex Models." In Models of Quantum Matter. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780199678839.003.0010.

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Vertex models more general than the ice model are possible and often have physical applications. The square lattice admits the general sixteen-vertex model of which the special cases, the eight- and the six-vertex model, are the most relevant and physically interesting, in particular through their connection to the one-dimensional integrable quantum mechanical models and the Bethe ansatz. This chapter introduces power- ful tools to examine vertex models, including the R- and L-matrices to encode the Boltzmann vertex weights and the monodromy and transfer matrices, which encode the integrability of the vertex models (i.e. that transfer matrices of different spectral parameters commute). This integrability is ultimately expressed in the Yang–Baxter relations.
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"Introduction." In Random Matrices, Frobenius Eigenvalues, and Monodromy. American Mathematical Society, 1998. http://dx.doi.org/10.1090/coll/045/01.

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"Statements of the main results." In Random Matrices, Frobenius Eigenvalues, and Monodromy. American Mathematical Society, 1998. http://dx.doi.org/10.1090/coll/045/02.

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"Reformulation of the main results." In Random Matrices, Frobenius Eigenvalues, and Monodromy. American Mathematical Society, 1998. http://dx.doi.org/10.1090/coll/045/03.

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"Reduction steps in proving the main theorems." In Random Matrices, Frobenius Eigenvalues, and Monodromy. American Mathematical Society, 1998. http://dx.doi.org/10.1090/coll/045/04.

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Conference papers on the topic "Matrice de monodromie"

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Moreno-Ahedo, Luis, and Carlos Vazquez. "Periodic stabilizing matrices: A monodromy matrix approach." In 2011 21st International Conference on Electrical Communications and Computers (CONIELECOMP). IEEE, 2011. http://dx.doi.org/10.1109/conielecomp.2011.5749337.

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Fedotov, A., and E. Shchetka. "Monodromy matrices for Harper equation." In 2018 Days on Diffraction (DD). IEEE, 2018. http://dx.doi.org/10.1109/dd.2018.8553420.

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Moreno, Luis, and Joaquin Collado. "New scheme for symbolic computation of Monodromy matrix." In 2009 European Control Conference (ECC). IEEE, 2009. http://dx.doi.org/10.23919/ecc.2009.7074600.

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Deshmukh, Venkatesh. "Stability Analysis and Computation of Solutions of Nonlinear Delay Differential Algebraic Equations With Time Periodic Coefficients." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35263.

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Stability theory of Nonlinear Delay Differential Algebraic Equations (DDAE) with periodic coefficients is proposed with a geometric interpretation of the evolution of the linearized system. First, a numerical algorithm based on direct integration by expansion in terms of Chebyshev polynomials is derived for linear analysis. The proposed algorithm is shown to have deeper connections with and computationally less cumbersome than the solution of the underlying semi-explicit system via a similarity transformation. The stability of time periodic DDAE systems is characterized by the spectral radius
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Dabiri, Arman, Eric A. Butcher, and Mohammad Poursina. "Fractional Delayed Control Design for Linear Periodic Systems." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-60322.

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In this paper, the fractional Chebyshev collocation (FCC) method is proposed to design fractional delay controllers for linear systems with periodic coefficients. In our previous study, it was shown that this method can be successfully used to stabilize fractional periodic time-delay systems with the delay terms being of integer orders. In the current paper, it is shown that this method can be extended successfully to design fractional delay controllers for fractional periodic systems. For this propose, the solution of linear periodic systems with fractional delay terms is expressed in a Banac
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Wu, Haimeng, Volker Pickert, and Damian Giaouris. "Nonlinear analysis for interleaved boost converters based on Monodromy matrix." In 2014 IEEE Energy Conversion Congress and Exposition (ECCE). IEEE, 2014. http://dx.doi.org/10.1109/ecce.2014.6953735.

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Kiss, Adam K., Daniel Bachrathy, and Gabor Stepan. "Experimental Determination of Dominant Multipliers in Milling Process by Means of Homogeneous Coordinate Transformation." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67827.

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In this contribution, a chatter detection method is investigated for milling operations. The proposed approach can give not only qualitative condition (stable or unstable), but a quantitative measure of stability. For this purpose, it requires an external excitation of stable machining condition. Transient vibration of the perturbation is captured by means of stroboscopic section, and the corresponding monodromy operator is approximated by its projection to the subspace of the dominant modes. The monodromy matrix is determined with the application of homogeneous coordinate representation. Then
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Guo, Ling, Kun Zhang, and Huan Pan. "The Stability Analysis of DC-DC Conversion Systems Based on Monodromy Matrix." In 2019 Chinese Control And Decision Conference (CCDC). IEEE, 2019. http://dx.doi.org/10.1109/ccdc.2019.8832891.

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Kim, Wonsuk, Alan Argento, and Richard A. Scott. "Forced Vibration and Dynamic Stability of a Rotating Tapered Composite Timoshenko Shaft." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8145.

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Abstract The response and stability of a high speed extended length tool holder subjected to cutting forces typical of milling operations are studied. The system is modeled as a rotating, tapered, filament-wound composite. Timoshenko shaft having clamped-free supports, and subjected to fluctuating, deflection-dependent, cutting-type end loads. Viscous damping is also included in the model. The general Galerkin method is used to satisfy spatial dependence in the system equations, and the monodromy matrix method and numerical integration are used to determine the system’s stability and response,
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Bobrenkov, Oleg A., Morad Nazari, and Eric A. Butcher. "On the Analysis of Periodic Delay Differential Equations With Discontinuous Distributed Delays." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47671.

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In this paper, the analysis of delay differential equations with periodic coefficients and discontinuous distributed delay is carried out through discretization by Chebyshev spectral continuous time approximation (ChSCTA). These features are introduced in the delayed Mathieu equation with discontinuous distributed delay used as an illustrative example. The efficiency of the process of stability analysis is improved by using shifted Chebyshev polynomials for computing the monodromy matrix, as well as the adaptive meshing of the parameter plane. An idea for a method for numerical integration of
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