Results 101 to 110 of about 158 (120)

Monodromy of the matrix Schrödinger equations and interaction of matrix solitons

Russian Mathematical Surveys, 2000
The author considers the matrix Schrödinger operator \(L=-D^2 +U(x)\) with meromorphic \((d\times d)\)-matrix-valued potential \(U(x)\). The author assumes that \(x_0=0\) and that the Laurent expansion of \(U(x)\) in a neighborhood of 0 has the form \(U(x)= \sum_{\nu\geq-2} c_rx^r\). The author generalizes well-known results of Duistermaat and Grünbaum,
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A Monodromy Matrix for the Almost Mathieu Equation with Small Coupling Constant

Functional Analysis and Its Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Influence of small harmonic terms on eigenvalues of monodromy matrix of piecewise-linear oscillators

Meccanica, 2008
In this paper we consider the problem which can appear at the determination of the dynamical stability of the responses of oscillators with discontinuous or steep derivative of the restoring characteristic obtained in the frequency domain. For that purpose, a simple one degree-of-freedom system with piecewise-linear force-displacement relationship ...
Wolf, Hinko, Sušić, Aleksandar, Banić, Dubravko   +2 more
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Convergence of Eigenvalues of Monodromy Matrix of Piecewise Linear Oscillators

2006
Prediction of dynamical stability of piecewise linear oscillators’ responses significantly depends on very small harmonic terms of the actual time domain response. The influence of these small harmonic terms on convergence of piecewise linear oscillators’ monodromy matrix eigenvalues (that determine the dynamical stability of the steady ...
Wolf, Hinko, Semenski, Damir, Sušić, Aleksandar   +2 more
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The monodromy matrix for a family of almost periodic Schrödinger equations in the adiabatic case

1997
This work is devoted to the study of a family of almost periodic one-dimensional Schrödinger equations. We define a monodromy matrix for this family. We study the asymptotic behavior of this matrix in the adiabatic case. Therefore, w develop a complex WKB method for adiabatic perturbations of periodic Schrödinger equations.
Fedotov, Alexander, Klopp, Frédéric
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Uniqueness of the Matrix Sturm-Liouville Equation given a Part of the Monodromy Matrix, and Borg Type Results

2005
Uniqueness of the matrix Sturm-Liouville equation is investigated, given a part of its monodromy matrix. Generalizations of Borg’s theorem and the Hochstadt-Lieberman result for the matrix Sturm-Liouville equation are presented.
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Form factors of the monodromy matrix elements

2022
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COMPUTATION OF MONODROMY MATRIX ON FLOATING POINT ARITHMETIC WITH GODUNOV MODEL

2014
The results computed monodromy matrix on floating point arithmetics according to Wilkinson Model have been given in [1]. In this study, new results have been obtained by examining floating point arithmetics with respect to Godunov Model the results in [1].
ÇIBIKDİKEN, Ali Osman, AYDIN, Kemal
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A novel act‐and‐wait control scheme for fixed‐time stabilization of input‐delay systems and assignment of the monodromy matrix

International Journal of Robust and Nonlinear Control, 2022
Wim Michiels, Xuefei Yang, Bin Zhou
exaly  

A Monodromy Matrix for the Almost Mathieu Equation with Small Coupling Constant

Functional Analysis and Its Applications, 2019
Alexander Fedotov, Fedotov A A
exaly