A growth estimate for the monodromy matrix of a canonical system
We investigate the spectrum of 2-dimensional canonical systems in the limit circle case. It is discrete and, by the Krein–de Branges formula, cannot be more dense than the integers. But in many cases it will be more sparse. The spectrum of a particular selfadjoint realisation coincides with the zeroes of one entry of the monodromy matrix of the system.
Pruckner, Raphael, Woracek, Harald
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Zero modes method and form factors in quantum integrable models
We study integrable models solvable by the nested algebraic Bethe ansatz and possessing GL(3)-invariant R-matrix. Assuming that the monodromy matrix of the model can be expanded into series with respect to the inverse spectral parameter, we define zero ...
S. Pakuliak, E. Ragoucy, N.A. Slavnov
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Iterative construction of eigenfunctions of the monodromy matrix for $SL(2,\mathbb {C})$ magnet [PDF]
Eigenfunctions of the matrix elements of the monodromy matrix provide a convenient basis for studies of spin chain models. We present an iterative method for constructing the eigenfunctions in the case of the SL(2,C) spin chains. We derived an explicit integral representation for the eigenfunctions and calculated the corresponding scalar products ...
Derkachov, S. E., Manashov, A. N.
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Detecting period-doubling bifurcation: an approximate monodromy matrix approach [PDF]
A quasi-analytical approach is developed for detecting period-doubling bifurcation emerging near a Hopf bifurcation point. The new algorithm employs higher-order Harmonic Balance Approximations (HBAs) to compute the monodromy matrix, useful for the study of limit cycle bifurcations.
Daniel W. Berns +2 more
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A note on gl2 $$ \mathfrak{g}{\mathfrak{l}}_2 $$-invariant Bethe vectors
We consider gl2 $$ \mathfrak{g}{\mathfrak{l}}_2 $$-invariant quantum integrable models solvable by the algebraic Bethe ansatz. We show that the form of on-shell Bethe vectors is preserved under certain twist transformations of the monodromy matrix.
S. Belliard, N. A. Slavnov
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Nonlinear Dynamics and Stability Analysis of a Three-Cell Flying Capacitor DC-DC Converter
This paper presents a study of the nonlinear dynamic behavior a flying capacitor four-level three-cell DC-DC buck converter. Its stability analysis is performed and its stability boundaries is determined in the multi-dimensional paramertic space.
Abdelali El Aroudi +3 more
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Two-step control of wall mode and the monodromy matrix
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Tasso, H., Throumoulopoulos, G.
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The classical Yang–Baxter equation and the associated Yangian symmetry of gauged WZW-type theories
We construct the Lax-pair, the classical monodromy matrix and the corresponding solution of the Yang–Baxter equation, for a two-parameter deformation of the Principal chiral model for a simple group. This deformation includes as a one-parameter subset, a
Georgios Itsios +3 more
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On the universality of late-time correlators in semi-classical 2d CFTs [PDF]
In the framework of the AdS3/ CFT2 correspondence, we present a systematic analysis of the late time thermalization of a two dimensional CFT state created by insertion of small number of heavy operators on the vacuum. We show that at late Lorentzian time,
Souvik Banerjee +2 more
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Normal modes of the small-amplitude oscillon
Consider a classical (1+1)-dimensional oscillon of small amplitude ϵ. To all orders in ϵ, the oscillon solution is exactly periodic. We study small perturbations of such periodic configurations.
Jarah Evslin +3 more
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