Thematische Bibliographien / Eigenvalue asymptotics

Inhaltsverzeichnis

  1. Zeitschriftenartikel
  2. Dissertationen
  3. Bücher
  4. Buchteile
  5. Konferenzberichte
  6. Berichte der Organisationen

Auswahl der wissenschaftlichen Literatur zum Thema „Eigenvalue asymptotics“

Autor: Grafiati
Veröffentlicht am 7. Juni 2025
Zuletzt aktualisiert am 2. August 2025

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Zeitschriftenartikel zum Thema "Eigenvalue asymptotics"

1

Golovina, A. M. "Asymptotic Behavior of the Eigenvalues of a Periodic Operator with Two Distant Perturbations on the Axis." Mathematics and Mathematical Modeling, no. 1 (September 24, 2022): 21–30. http://dx.doi.org/10.24108/mathm.0122.0000300.

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We consider a second-order periodic operator with two distant perturbations on the real axis. Perturbations are real finite continuous potentials. The objective is to investigate a behavior of the eigenvalues of the perturbed operator when the distance between the potentials tends to infinity. The study issue is an existence of perturbed eigenvalues in the case of a double limiting eigenvalue (the simple and isolated eigenvalue of a periodic operator with first potential + the simple and isolated eigenvalue of a periodic operator with а second potential).The paper aim is to construct the first
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Golovina, A. M. "On Laplacian Discrete Spectrum Behavior with Two Distant Perturbations on the Plane in the case of a double limiting eigenvalue." Mathematics and Mathematical Modeling, no. 2 (September 24, 2022): 1–13. http://dx.doi.org/10.24108/mathm.0222.0000301.

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We consider the Laplacian with two distant perturbations on the plane. Perturbations are a real finite continuous potentials. The investigation is aimed at a behavior of the perturbed operator eigenvalues when the distance between the potentials tends to infinity. The study concerns an existence of the perturbed eigenvalues in the case of a double limiting eigenvalue (a double eigenvalue of the Laplacian with the first finite potential).The paper aim is to construct the first terms of the asymptotic expansions of the perturbed eigenvalues and the corresponding eigenfunctions in the case of a d
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Golovina, A. M. "Asymptotic Behavior of the Eigenvalues of the Laplacian with Two Distant Perturbations on the Plane (the Case of Arbitrary Multiplicity)." Herald of the Bauman Moscow State Technical University. Series Natural Sciences, no. 3 (108) (June 2023): 4–19. http://dx.doi.org/10.18698/1812-3368-2023-3-4-19.

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The Laplacian with a pair of distant perturbations is studied in two-dimensional space. Perturbations are understood as real finite continuous potentials. The discrete spectrum of the perturbed Laplacian is studied when the distance between the potentials increases. The presence of its eigenvalues and eigen-functions that correspond to them is considered for various cases of multiplicities of the limiting eigenvalue. The first case of the considered multiplicity is the double limiting eigenvalue. By this we mean the simple and isolated Laplacian eigenvalue with the first potential, as well as
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Boutet de Monvel, Anne, Serguei Naboko, and Luis O. Silva. "The asymptotic behavior of eigenvalues of a modified Jaynes–Cummings model." Asymptotic Analysis 47, no. 3-4 (2006): 291–315. https://doi.org/10.3233/asy-2006-750.

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We obtain the asymptotic behavior of eigenvalues of Jacobi matrices corresponding to a modified Jaynes–Cummings model with additive and multiplicative modulations using the so-called successive diagonalization method. By comparing the cases with and without modulated entries, we show the influence of periodic modulations on the eigenvalue asymptotics.
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KACHMAR, AYMAN. "WEYL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS AND DE GENNES' BOUNDARY CONDITION." Reviews in Mathematical Physics 20, no. 08 (2008): 901–32. http://dx.doi.org/10.1142/s0129055x08003468.

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This paper is concerned with the discrete spectrum of the self-adjoint realization of the semi-classical Schrödinger operator with constant magnetic field and associated with the de Gennes (Fourier/Robin) boundary condition. We derive an asymptotic expansion of the number of eigenvalues below the essential spectrum (Weyl-type asymptotics). The methods of proof rely on results concerning the asymptotic behavior of the first eigenvalue obtained in a previous work [10].
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BERTOZZI, ANDREA L., ANDREAS MÜNCH, MICHAEL SHEARER, and KEVIN ZUMBRUN. "Stability of compressive and undercompressive thin film travelling waves." European Journal of Applied Mathematics 12, no. 3 (2001): 253–91. http://dx.doi.org/10.1017/s0956792501004466.

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Recent studies of liquid films driven by competing forces due to surface tension gradients and gravity reveal that undercompressive travelling waves play an important role in the dynamics when the competing forces are comparable. In this paper, we provide a theoretical framework for assessing the spectral stability of compressive and undercompressive travelling waves in thin film models. Associated with the linear stability problem is an Evans function which vanishes precisely at eigenvalues of the linearized operator. The structure of an index related to the Evans function explains computatio
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Zhukova, Galina. "Asymptotic methods for solving boundary value eigenvalue problems." E3S Web of Conferences 164 (2020): 09022. http://dx.doi.org/10.1051/e3sconf/202016409022.

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The aim of the study is an approximate construction with a given accuracy of solutions of boundary value problems for eigenvalues under various types of boundary conditions. It is shown that the problem of finding approximate large eigenvalues of boundary value problems is reduced to the analysis and solution of singularly perturbed differential equations with variable coefficients. Methods used: asymptotic diagram method developed to construct the asymptotic behavior of solutions of singularly perturbed differential equations and systems; methods of numerical integration of boundary value pro
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Aramaki, Junichi. "Semi‐classical analysis for the eigenvalues of a Schrödinger operator with magnetic field." Asymptotic Analysis 29, no. 1 (2002): 39–68. https://doi.org/10.3233/asy-2002-475.

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We discuss semi‐classical analysis for the eigenvalues of the Schrödinger operator on ${\mathbb{R}}$ d with magnetic and electoric potentials. We consider the case where the electric potential vanishes precisely of even order at the wells. Our final aim is to clarify that when the operator has a non‐degenerate eigenvalue and then to get the complete asymptotics of the eigenvalue in the semi‐classical sense. Moreover, we give an example which seems to be new.
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François, Gilles. "Spectral asymptotics stemming from parabolic equations under dynamical boundary conditions." Asymptotic Analysis 46, no. 1 (2006): 43–52. https://doi.org/10.3233/asy-2006-725.

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This paper deals with a spectral problem for a second-order elliptic operator A stemming from a parabolic problem under a dynamical boundary condition. The discrete character and the convergence to infinity of the eigenvalue sequence of the problem [Formula: see text] are shown. By means of min–max formulae, a comparison of the eigenvalue sequence with the spectra of the Dirichlet and Neumann problem is obtained and yields an upper bound for λk. On the other hand, comparing with the Steklov problem leads to a lower bound. In the two-dimensional case, this yields the exact growth order of the e
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Borisov, Denis Ivanovich, and Dmitry Mikhailovich Polyakov. "Uniform asymptotics for eigenvalues of model Schrödinger operator with small translation." Ufa Mathematical Journal 16, no. 3 (2024): 1–20. https://doi.org/10.13108/2024-16-3-1.

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We consider a model Schrödinger operator with a constant coefficient on the unit segment and the Dirichlet and Neumann condition on opposite ends with a small translation in the free term. The value of the translation is small parameter, which can be both positive and negative. The main result is the spectral asymptotics for the eigenvalues and eigenfunctions with an estimate for the error term, which is uniform in the small parameter. For finitely many first eigenvalues and associated eigenfunctions we provide asymptotics in the small parameter. We prove that each eigenvalue is si
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Dissertationen zum Thema "Eigenvalue asymptotics"

1

Akbarfan, Aliasghar Jodayree. "Higher-order eigenvalue asymptotics for Sturm-Liouville problems with one simple turning point." Thesis, University of Ottawa (Canada), 1989. http://hdl.handle.net/10393/21310.

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Berglund, Filip. "Asymptotics of beta-Hermite Ensembles." Thesis, Linköpings universitet, Matematisk statistik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-171096.

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In this thesis we present results about some eigenvalue statistics of the beta-Hermite ensembles, both in the classical cases corresponding to beta = 1, 2, 4, that is the Gaussian orthogonal ensemble (consisting of real symmetric matrices), the Gaussian unitary ensemble (consisting of complex Hermitian matrices) and the Gaussian symplectic ensembles (consisting of quaternionic self-dual matrices) respectively. We also look at the less explored general beta-Hermite ensembles (consisting of real tridiagonal symmetric matrices). Specifically we look at the empirical distribution function and two
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Egidi, Michela. "Geometry, dynamics and spectral analysis on manifolds : the Pestov Identity on frame bundles and eigenvalue asymptotics on graph-like manifolds." Thesis, Durham University, 2015. http://etheses.dur.ac.uk/11306/.

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This dissertation is made up of two independent parts. In Part I we consider the Pestov Identity, an identity stated for smooth functions on the tangent bundle of a manifold and linking the Riemannian curvature tensor to the generators of the geodesic flow, and we lift it to the bundle of k-tuples of tangent vectors over a compact manifold M of dimension n. We also derive an integrated version over the bundle of orthonormal k-frames of M as well as a restriction to smooth functions on such a bundle. Finally, we present a dynamical application for the parallel transport of the Grassmannian of o
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Toloza, Julio Hugo. "Exponentially Accurate Error Estimates of Quasiclassical Eigenvalues." Diss., Virginia Tech, 2002. http://hdl.handle.net/10919/30072.

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We study the behavior of truncated Rayleigh-Schröodinger series for the low-lying eigenvalues of the time-independent Schröodinger equation, when the Planck's constant is considered in the semiclassical limit. Under certain hypotheses on the potential energy, we prove that, for any given small value of the Planck's constant, there is an optimal truncation of the series for the approximate eigenvalues, such that the difference between an approximate and actual eigenvalue is smaller than an exponentially small function of the Planck's constant. We also prove the analogous results concerning th
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Fairfax, Benjamin James. "Focal points and series of eigenvalues." Thesis, King's College London (University of London), 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.322513.

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Michetti, Marco. "Steklov and Neumann eigenvalues : inequalities, asymptotic and mixed problems." Electronic Thesis or Diss., Université de Lorraine, 2022. http://www.theses.fr/2022LORR0109.

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Cette thèse est consacrée à l'étude des valeurs propres de Neumann, des valeurs propres de Steklov et des relations entre elles. La motivation initiale de cette thèse était de prouver que, dans le plan, le produit entre le périmètre et la première valeur propre de Steklov est toujours inférieur au produit entre l'aire et la première valeur propre de Neumann. Motivés par la recherche de contre-exemples à cette inégalité, nous donnons, dans la première partie de cette thèse, une description complète du comportement asymptotique des valeurs propres de Steklov dans un domaine en haltère constitué
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Lindsay, Alan Euan. "Topics in the asymptotic analysis of linear and nonlinear eigenvalue problems." Thesis, University of British Columbia, 2010. http://hdl.handle.net/2429/26271.

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In Applied Mathematics, linear and nonlinear eigenvalue problems arise frequently when characterizing the equilibria of various physical systems. In this thesis, two specific problems are studied, the first of which has its roots in micro engineering and concerns Micro-Electro Mechanical Systems (MEMS). A MEMS device consists of an elastic beam deflecting in the presence of an electric field. Modelling such devices leads to nonlinear eigenvalue problems of second and fourth order whose solution properties are investigated by a variety of asymptotic and numerical techniques. The second probl
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Kobeissi, Hussein. "Eigenvalue Based Detector in Finite and Asymptotic Multi-antenna Cognitive Radio Systems." Thesis, CentraleSupélec, 2016. http://www.theses.fr/2016SUPL0011/document.

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La thèse aborde le problème de la détection d’un signal dans une bande de fréquences donnée sans aucune connaissance à priori sur la source (détection aveugle) dans le contexte de la radio intelligente. Le détecteur proposé dans la thèse est basé sur l’estimation des valeurs propres de la matrice de corrélation du signal reçu. A partir de ces valeurs propres, plusieurs critères ont été développés théoriquement (Standard Condition Number, Scaled Largest Eigenvalue, Largest Eigenvalue) en prenant pour hypothèse majeure un nombre fini d’éléments, contrairement aux hypothèses courantes de la théor
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Ballard, Grey M. "Asymptotic behavior of the eigenvalues of Toeplitz integral operators associated with the Hankel transform." Electronic thesis, 2008. http://dspace.zsr.wfu.edu/jspui/handle/10339/221.

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Bulger, Daniel. "The high energy asymptotic distribution of the eigenvalues of the scattering matrix." Thesis, King's College London (University of London), 2013. https://kclpure.kcl.ac.uk/portal/en/theses/the-high-energy-asymptotic-distribution-of-the-eigenvalues-of-the-scattering-matrix(541fc908-ff77-4f0f-b3ba-af1fe53e19dd).html.

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We determine the high energy asymptotic density of the eigenvalues of the scat- tering matrix associated with the operators H0 = −∆ and H = (i∇ + A)2 + V (x), where V : Rd → R is a smooth short-range real-valued electric potential and A = (A1, . . . , Ad) : Rd → Rd is a smooth short-range magnetic vector-potential. Two cases are considered. The first case is where the magnetic vector-potential is non-zero. The spectral density of the associated scattering matrix in this case is expressed as an integral solely in terms of the magnetic vector-potential A. The second case considered is where the
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Bücher zum Thema "Eigenvalue asymptotics"

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Levendorskiǐ, Serge. Asymptotic Distribution of Eigenvalues of Differential Operators. Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-1918-1.

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Levendorskiĭ, Serge. Asymptotic distribution of eigenvalues of differential operators. Kluwer Academic Publishers, 1990.

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3

F, Warming Robert, and Ames Research Center, eds. The asymptotic spectra of banded Toeplitz and quasi-Toeplitz matrices. National Aeronautics and Space Administration, Ames Research Center, 1991.

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Safarov, Yu. The asymptotic distribution of eigenvalues of partial differential operators. American Mathematical Society, 1997.

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Yu, Ching-Chau. Nonlinear eigenvalues and analytic-hypoellipticity. American Mathematical Society, 1998.

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Tate, Tatsuya. Asymptotic behavior of eigenfunctions and eigenvalues for ergodic and periodic systems. Tohoku University, 1999.

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K, Binienda Wieslaw, Pindera M. J. 1951-, Lewis Research Center, and United States. National Aeronautics and Space Administration., eds. Frictionless contact of multilayered composite half planes containing layers with complex Eigenvalues. National Aeronautics and Space Administration, Lewis Research Center, 1997.

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Hald, Ole H. Inverse nodal problems: Finding the potential from nodal lines. American Mathematical Society, 1996.

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Baldwin, P. Asymptotic estimates of the eigenvalues of a sixth-order boundary-value problem obtained by using global phase-integralmethods. Royal Society of London, 1987.

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10

Dzhamay, Anton, Christopher W. Curtis, Willy A. Hereman, and B. Prinari. Nonlinear wave equations: Analytic and computational techniques : AMS Special Session, Nonlinear Waves and Integrable Systems : April 13-14, 2013, University of Colorado, Boulder, CO. American Mathematical Society, 2015.

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Buchteile zum Thema "Eigenvalue asymptotics"

1

Möller, Manfred, and Vyacheslav Pivovarchik. "Eigenvalue Asymptotics." In Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-17070-1_7.

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2

Ivrii, Victor. "Eigenvalue Asymptotics. 2D Case." In Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-30545-1_23.

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Ivrii, Victor. "Eigenvalue asymptotics. 3D case." In Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-30545-1_24.

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Newton, Paul K., and Vassilis G. Papanicolaou. "Power Law Asymptotics for Nonlinear Eigenvalue Problems." In Perspectives and Problems in Nolinear Science. Springer New York, 2003. http://dx.doi.org/10.1007/978-0-387-21789-5_10.

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Hu, Jishan, and Wing-Cheong Cheng. "Analysis of the Radiation Loss: Asymptotics Beyond all Orders." In Operator Theory and Boundary Eigenvalue Problems. Birkhäuser Basel, 1995. http://dx.doi.org/10.1007/978-3-0348-9106-6_11.

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Truc, Françoise. "Eigenvalue Asymptotics for Magnetic Fields and Degenerate Potentials." In Spectral Theory and Analysis. Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-7643-9994-8_9.

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von Below, Joachim, and Gilles François. "Eigenvalue Asymptotics Under a Non-dissipative Eigenvalue Dependent Boundary Condition for Second-order Elliptic Operators." In Functional Analysis and Evolution Equations. Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-7794-6_5.

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Kachmar, Ayman, and Xing-Bin Pan. "Lowest Eigenvalue Asymptotics in Strong Magnetic Fields with Interior Singularities." In Quantum Mathematics I. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-5894-8_11.

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Kollo, Tonu, and Heinz Neudecker. "Asymptotics of eigenvalue-normed eigenvectors of sample variance and correlation matrices." In Multidimensional Statistical Analysis and Theory of Random Matrices, edited by A. K. Gupta and V. L. Girko. De Gruyter, 1996. http://dx.doi.org/10.1515/9783110916690-011.

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Rozenblum, Grigori, and Eugene Shargorodsky. "Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case." In Partial Differential Equations, Spectral Theory, and Mathematical Physics. European Mathematical Society Publishing House, 2021. http://dx.doi.org/10.4171/ecr/18-1/20.

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Konferenzberichte zum Thema "Eigenvalue asymptotics"

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Happawana, G. S., A. K. Bajaj, and O. D. I. Nwokah. "A Singular Perturbation Analysis of Eigenvalue Veering and Mode Localization in Perturbed Linear Chain and Cyclic Systems." In ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0206.

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Abstract An investigation into the eigenvalue loci veering and mode localization phenomenon is presented for mistuned structural systems. Examples from both, the weakly coupled uniaxial component systems and the cyclic symmetric systems, are considered. The analysis is based on singular perturbation techniques. It is shown that uniform asymptotic expansions for the eigenvalues and eigenvectors can be constructed in terms of the mistuning parameters, and these solutions are in excellent agreement with the exact solutions. The asymptotic expansions are then used to clearly show how the singular
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Pesce, C. P., and C. A. Martins. "Riser-Soil Interaction: Local Dynamics at TDP and a Discussion on the Eigenvalue Problem." In ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51268.

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The eigenvalue problem of risers is of outmost importance, particularly if vortex-induced vibration (VIV) is concerned. Design procedures rely on the determination of eigenvalues and eigenmodes. Natural frequencies are not too sensitive to the proper consideration of boundary condition, within a certain extent where dynamics at the Touch down Area (TDA) may be modeled as dominated by the suspended part dynamics. Nevertheless, eigenmodes may be strongly affected in this region, as, strictly speaking, this is a nonlinear one-sided (contact type) boundary condition. Actually, we should consider a
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Linbo Li, A. M. Tulino, and S. Verdu. "Asymptotic eigenvalue moments for linear multiuser detection." In Conference Record. Thirty-Fifth Asilomar Conference on Signals, Systems and Computers. IEEE, 2001. http://dx.doi.org/10.1109/acssc.2001.987677.

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Zhu, W. D., and B. Z. Guo. "Spectral Analysis of Constrained Translating Beams." In ASME 1996 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/imece1996-0905.

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Abstract A new spectral analysis for the distribution of eigenvalues of a constrained translating beam is presented. The constraint represented by a spring-mass-dashpot is located at any position along the beam. Closed-form, asymptotic solutions to the real parts of all eigenvalues are derived explicitly from the characteristic equation of the constrained system. The necessary and sufficient condition that ensures a uniform stability margin for all the modes of vibration is determined. Influences of the system parameters on the distribution of eigenvalues are identified. The analytical predict
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Aydemir, K., and O. Sh Mukhtarov. "Asymptotics eigenvalues for many-interval Sturm-Liouville problems." In INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016. Author(s), 2016. http://dx.doi.org/10.1063/1.4945914.

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Oudin, M., and J. P. Delmas. "Asymptotic generalized eigenvalue distribution of Toeplitz block Toeplitz matrices." In ICASSP 2008 - 2008 IEEE International Conference on Acoustics, Speech and Signal Processing. IEEE, 2008. http://dx.doi.org/10.1109/icassp.2008.4518358.

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Penna, Federico, Roberto Garello, Davide Figlioli, and Maurizio A. Spirito. "Exact non-asymptotic threshold for eigenvalue-based spectrum sensing." In 2009 4th International Conference on Cognitive Radio Oriented Wireless Networks and Communications (CROWNCOM). IEEE, 2009. http://dx.doi.org/10.1109/crowncom.2009.5189008.

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Chatzinotas, Symeon, Shree Krishna Sharma, and Bjorn Ottersten. "Asymptotic analysis of eigenvalue-based blind Spectrum Sensing techniques." In ICASSP 2013 - 2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2013. http://dx.doi.org/10.1109/icassp.2013.6638504.

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Wang, Lei, Baoyu Zheng, Jingwu Cui, and Wenjing Yue. "Spectrum sensing using non-asymptotic behavior of eigenvalues." In Signal Processing (WCSP 2011). IEEE, 2011. http://dx.doi.org/10.1109/wcsp.2011.6096917.

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Wei, Lu. "Non-Asymptotic Analysis of Scaled Largest Eigenvalue Based Spectrum Sensing." In 2013 IEEE 77th Vehicular Technology Conference (VTC Spring). IEEE, 2013. http://dx.doi.org/10.1109/vtcspring.2013.6692651.

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Berichte der Organisationen zum Thema "Eigenvalue asymptotics"

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Bai, Z. D., P. R. Krishnaiah, and L. C. Zhao. On the Asymptotic Joint Distributions of the Eigenvalues of Random Matrices Which Arise under Components of Covariance Model. Defense Technical Information Center, 1987. http://dx.doi.org/10.21236/ada186387.

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Taniguchi, M., and P. R. Krishnaiah. Asymptotic Distributions of Functions of the Eigenvalues of the Sample Covariance Matrix and Canonical Correlation Matrix in Multivariate Time Series. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada170282.

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