Results 171 to 180 of about 680 (193)

The functional structure of the monodromy matrix for Harper’s equation

Operator Theory: Advances and Applications, 1994
In this paper we continue our investigation of Harper’s equation: $$ \frac{{\psi (x + h) + \psi (x - h)}}{2} + \cos \,x\;\psi (x) = E\psi (x). $$ (1.1) Here h is a fixed positive parameter and x ∈ ℝ or x ∈ ℂ. This equation appeared as a model for Bloch electron in a weak constant magnetic field [Ho].
A A Fedotov
exaly   +2 more sources

Nonlinear analysis for interleaved boost converters based on Monodromy matrix

2014 IEEE Energy Conversion Congress and Exposition (ECCE), 2014
\ua9 2014 IEEE.This paper presents a nonlinear analysis method to investigate the influence of parameter variation on the stability of interleaved boost converters.
Haimeng Wu, Volker Pickert, Damian Giaouris   +2 more
openaire   +2 more sources

Monodromy of the matrix Schrödinger equations and Darboux transformations

Journal of Physics A: Mathematical and General, 1998
The Schrödinger operator \(L=-d^2/dz^2+U(z)\) \((U(z)\) is a rational matrix-valued potential) and the corresponding Schrödinger equation in the complex plane are studied in the case when this operator has trivial monodromy (i.e. all solutions to the Schrödinger equation are single-valued in the complex plane for all \(\lambda)\).
Goncharenko, V. M., Veselov, A. P.
openaire   +2 more sources

Factorizing the Monodromy Matrix of Linear Periodic Systems

IFAC Proceedings Volumes, 2014
Abstract This note proposes a new approach to computing the Kalman canonical decomposition of finite-dimensional linear periodic continuous-time systems by extending the Floquet theory. Controllable and observable subspaces are characterized by factorizing the monodromy matrix.
Ichiro Jikuya, Ichijo Hodaka
openaire   +1 more source

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,
openaire   +2 more sources

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.
openaire   +2 more sources

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
openaire   +3 more sources

The Stability Analysis of DC-DC Conversion Systems Based on Monodromy Matrix

2019 Chinese Control And Decision Conference (CCDC), 2019
The stability analysis for the dc-dc conversion system which can be used in dc distributed power systems (DPS) is discussed in this paper. In this paper, the methods of monodromy matrix and small-signal analysis are proposed for the stability analysis of the dc-dc conversion system.
Ling Guo, Kun Zhang, Huan Pan
openaire   +1 more source

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
openaire   +2 more sources

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
openaire   +1 more source