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Browsing Mathematics by Title
Now showing items 112-131 of 131
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(arXiv, 2016-11-08)Two generalizations of the companion QR algorithm by J.L. Aurentz, T. Mach, R. Vandebril, and D.S. Watkins, SIAM Journal on Matrix Analysis and Applications, 36(3): 942--973, 2015, to compute the roots of a polynomial are ...
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(2014)Singular systems of linear forms were introduced by Khintchine in the 1920s, and it was shown by Dani in the 1980s that they are in one-to-one correspondence with certain divergent orbits of oneparameter diagonal groups ...
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(Nazarbayev University School of Science and Technology, 2018-05)We apply singularity analysis in complex time to investigate the solutions of a dynamical system of one degree of freedom related to the oscillations of a Micro-Electro-Mechanical System (MEMS) of nonlinear elasticity. ...
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(Applied Mathematical Sciences, 2012)In this paper, it is shown that D. Shelupsky's generalized sine func- tion, and various general sine functions developed by P. Drabek, R. Manasevich and M. Otani, P. Lindqvist, including the generalized Ja- cobi elliptic ...
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(PHYSICAL REVIEW E, 2020)Arrays of coupled semiconductor lasers are systems possessing radically complex dynamics that makes them useful for numerous applications in beam forming and beam shaping. In this work, we investigate the spatial ...
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Spectral Signatures of Exceptional Points and Bifurcations in the Fundamental Active Photonic Dimer (ArXiv, 2017-10-04)The fundamental active photonic dimer consisting of two coupled quantum well lasers is inves-tigated in the context of the rate equation model. Spectral transition properties and exceptional points are shown to occur under ...
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Spectral Signatures of Exceptional Points and Bifurcations in the Fundamental Active Photonic Dimer (arXiv, 2018-08)The fundamental active photonic dimer consisting of two coupled quantum well lasers is inves- tigated in the context of the rate equation model. Spectral transition properties and exceptional points are shown to occur ...
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(Nazarbayev University School of Science and Technology, 2016-05)In this report we present an SEIS model for infectious diseases with latent period and no immune response for spatially heterogeneous environment. Spatial heterogeneity is designed by several metapopulations. It was shown ...
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(ArXiv, 2017-06-23)We analyze the stability of a non-Hermitian coupler with respect to modulational inhomogeneous perturbations in the presence of unbalanced gain and loss. At the parity-time (PT) symmetry point the coupler is unstable. ...
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(Physical Review A, 2017-06-21)We analyze the stability of a non-Hermitian coupler with respect to modulational inhomogeneous perturbations in the presence of unbalanced gain and loss. At the parity-time (PT ) symmetry point the coupler is unstable. Suitable ...
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(Nazarbayev University School of Science and Technology, 2015-04)The study of locations of zeroes of functions became popular among mathematicians many years ago. This investigation contributes a lot to wide range of theories and topics in Mathematics and Physics.
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(2011)An assosiahedron Kn, known also as Stasheff polytope, is a multifaceted combinatorial object, which, in particular, can be realized as a convex hull of certain points in Rn, forming (n − 1)-dimensional polytope1. A ...
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(Nazarbayev University School of Science and Technology, 2016)This paper presents the results of developing a statistical model for morphological disambiguation of Kazakh text. Starting with basic assumptions we tried to cope with the complex morphology of Kazakh language by breaking ...
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(Nazarbayev University School of Science and Technology, 2019-05-01)In recent years, the study of synchronization of coupled oscillators have been the subject of intense research interest, leading to many new and unexpected phenomena. Our research is first focused on the analysis of a ...
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(Scientific Reports, 2016-09-19)We consider the asymmetric active coupler (AAC) consisting of two coupled dissimilar waveguides with gain and loss. We show that under generic conditions, not restricted by parity-time symmetry, there exist finite-power, ...
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(Hacettepe Journal of Mathematics and Statistics, 2016)A new distribution, namely, the Gamma-Half-Cauchy distribution is proposed. Various properties of the Gamma-Half-Cauchy distribution are studied in detail such as limiting behavior, moments, mean deviations and Shannon ...
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(Nazarbayev University School of Science and Technology, 2013)The ALEKS computer system, well-known on the American con- tinent as an individualized teaching tool and placement test into a series of high school and college level courses, was implemented by the Mathematics Department ...
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(Communications in Statistics - Theory and Methods, 2016-12-16)The logistic distribution has a prominent role in the theory and practice of statistics. We introduce a new family of continuous distributions generated from a logistic random variable called the logistic-X family. Its ...
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(American Mathematical Monthly, 2016-10-01)It is not hard to prove that a uniformly continuous real function, whose integral up to infinity exists, vanishes at infinity, and it is probably little known that this statement runs under the name "Barbalat's lemma." In ...
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(Nazarbayev University School of Science and Technology, 2019-08-07)The Nonlinear Schrödinger equation (NLSE) is a prototypical example of nonlinear partial differential equation. It is commonly used to describe propagation of light in nonlinear optical fibers and is of great importance ...
Now showing items 112-131 of 131
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