Results 91 to 100 of about 158 (120)
The monodromy matrix and its poisson brackets in supersymmetric Liouville-string theory
Abstract We determine the classical supersymmetric version of the new factorization relation recently discovered by Gervais and Neveu in their study of the quantum Liouville-string field theory.
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Periodic dynamic systems for infected hosts and mosquitoes
A mathematical model for the purpose of analysing the dynamic of the populations of infected hosts anf infected mosquitoes when the populations of mosquitoes are periodic in time is here presented.
W. M. Oliva, E. M. Sallum
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On monodromy matrix computation
Computer Methods in Applied Mechanics and Engineering, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jack K Hale
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Sensitivity of Schur stability of monodromy matrix
Applied Mathematics and Computation, 2011The authors study the sensitivity of Schur stability of a linear difference equation system with periodic coefficients \[ x\left(n+1\right) =A\left( n\right) x\left( n\right),\quad n\in \mathbb{Z}, \tag{1} \] where \(A\left( n\right) \) is an \(N\times N\) dimensional matrix with a period \(T\).
Ahmet Duman
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Periodic stabilizing matrices: A monodromy matrix approach
CONIELECOMP 2011, 21st International Conference on Electrical Communications and Computers, 2011The construction of time-periodic stabilizing matrices by the monodromy matrix approach is presented, the time-periodic stabilizing matrices are a special case of time-varying stabilizing matrices formulated in the Brockett problem, a open problem in control theory; a practical example about construction of time-periodic stabilizing matrix for the ...
Luis Moreno-Ahedo, Carlos Vázquez 0003
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New scheme for symbolic computation of Monodromy matrix
2009 European Control Conference (ECC), 2009A new scheme based on the Taylor's method for ODEs is used to compute the symbolic monodromy matrix of linear periodic systems in function of their parameters. Using the symbolic Monodromy matrix in terms of the parameters we are able to find the stability chart of parametric excited systems which gives the boundaries between stable and unstable ...
Joaquin Collado
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Unique determination of a system by a part of the monodromy matrix
Functional Analysis and Its Applications, 2015Consider the first order ordinary differential system \[ -iB^{-1}y^{\prime}\left( x\right) +Q(x)y(x)=\lambda y(x)\quad \text{for }x\in[0,\;1], \] where \(y^{T}=\left( y_{1},\;y_{2},\dots,y_{n}\right)\), \(B\) is a constant matrix, and \(Q\in L_{\left( 0,1\right) }\otimes\mathbb{C}^{n\times n}\).
M M Malamud, Malamud M M
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The functional structure of the monodromy matrix for Harper’s equation
Operator Theory: Advances and Applications, 1994In 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].
Alexander Fedotov
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Monodromy of the matrix Schrödinger equations and Darboux transformations
Journal of Physics A: Mathematical and General, 1998The 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.
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Factorizing the Monodromy Matrix of Linear Periodic Systems
IFAC Proceedings Volumes, 2014Abstract 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
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