Výsledky vyhledávání - "Kirillov, O."

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Exceptional Points in a Microwave Billiard with Time-Reversal Invariance Violation

Autor: Dietz, B., Harney, H. L., Kirillov, O. N., Miski-Oglu, M., Richter, A., Schaefer, F.

Publikováno v: Phys.Rev.Lett.106:150403,2011

We report on the experimental study of an exceptional point (EP) in a dissipative microwave billiard with induced time-reversal invariance (T) violation. The associated two-state Hamiltonian is non-Hermitian and non-symmetric. It is determined experi

Externí odkaz: http://arxiv.org/abs/1008.2623

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Singularities on the boundary of the stability domain near 1:1 resonance

Autor: Hoveijn, I., Kirillov, O. N.

Publikováno v: Journal of Differential Equations, 248, 2585--2607 (2010)

We study the linear differential equation x' = Lx in 1:1 resonance. That is, x in R^4 and L is a 4 by 4 matrix with a semi-simple double pair of imaginary eigenvalues (ib,-ib,ib,-ib). We wish to find all perturbations of this linear system such that

Externí odkaz: http://arxiv.org/abs/0911.1224

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Akademický článek

Application of the Wavelet Transform in the Analysis of Non-stationary Processes in Aerodynamic Experiments.

Autor: Kirillov, O. E.

Publikováno v: Lobachevskii Journal of Mathematics; May2024, Vol. 45 Issue 5, p2058-2066, 9p

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Geometric phase around exceptional points

Autor: Mailybaev, A. A., Kirillov, O. N., Seyranian, A. P.

Publikováno v: Phys. Rev A 72, 014104 (2005)

A wave function picks up, in addition to the dynamic phase, the geometric (Berry) phase when traversing adiabatically a closed cycle in parameter space. We develop a general multidimensional theory of the geometric phase for (double) cycles around ex

Externí odkaz: http://arxiv.org/abs/quant-ph/0501040

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Coupling of eigenvalues of complex matrices at diabolic and exceptional points

Autor: Mailybaev, A. A., Kirillov, O. N., Seyranian, A. P.

Publikováno v: J. Phys. A: Math. Gen. 38 (2005) 1723-1740.

The paper presents a general theory of coupling of eigenvalues of complex matrices of arbitrary dimension depending on real parameters. The cases of weak and strong coupling are distinguished and their geometric interpretation in two and three-dimens

Externí odkaz: http://arxiv.org/abs/math-ph/0411024

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Unfolding of eigenvalue surfaces near a diabolic point due to a complex perturbation

Autor: Kirillov, O. N., Mailybaev, A. A., Seyranian, A. P.

Publikováno v: J. Phys. A: Math. Gen. 38 (2005) 5531--5546

The paper presents a new theory of unfolding of eigenvalue surfaces of real symmetric and Hermitian matrices due to an arbitrary complex perturbation near a diabolic point. General asymptotic formulae describing deformations of a conical surface for

Externí odkaz: http://arxiv.org/abs/math-ph/0411006

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