Results 21 to 30 of about 311,780 (287)
PT Symmetric Schr\"odinger Operators: Reality of the Perturbed Eigenvalues [PDF]
We prove the reality of the perturbed eigenvalues of some PT symmetric Hamiltonians of physical interest by means of stability methods. In particular we study 2-dimensional generalized harmonic oscillators with polynomial perturbation and the one ...
Caliceti, Emanuela +2 more
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Polynomial Preconditioned Arnoldi with Stability Control
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Embree, Mark +2 more
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Stability of certain higher degree polynomials
One of the interesting problems in arithmetic dynamics is to study the stability of polynomials over a field. A polynomial [Formula: see text] is stable over [Formula: see text] if irreducibility of [Formula: see text] implies that all its iterates are also irreducible over [Formula: see text], that is, [Formula: see text] is irreducible over [Formula:
Shanta Laishram +2 more
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MAXIMIZING THE ROBUST STABILITY DEGREE OF SYSTEM WITH INTERVAL CHARACTERISTIC POLYNOMIAL
The article considers the use of critical root diagrams for the synthesis of a one-parameter robust controller that provides the maximum stability degree in a third-order system with interval parameters.
Alexander V. Sobol +1 more
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On the determinant of quaternionic polynomial matrices and its application to system stability [PDF]
In this paper, we propose a definition of determinant for quaternionic, polynomial matrices inspired by the well-known Dieudonne determinant for the constant case.
Pereira, Ricardo, Rocha, Paula
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The Stability Analysis for a 2 × 2 Conservation Law with PI Controller and PDP Controller
This article is concerned with the stability analysis of a 2×2 conservation law with PI and PDP boundary feedback control. In the PI controller case, the authors establish a sufficient and necessary stability condition for feedback parameters by Walton ...
Dong-Xia Zhao, Fang-Xia Bao
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Stability of Real Parametric Polynomial Discrete Dynamical Systems
We extend and improve the existing characterization of the dynamics of general quadratic real polynomial maps with coefficients that depend on a single parameter λ and generalize this characterization to cubic real polynomial maps, in a consistent theory
Fermin Franco-Medrano +1 more
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Methods and algorithms for determining the main quasi-homogeneous forms of polynomials and power series [PDF]
Methods are proposed that allow one to determine the special forms of polynomials and power series used in solving a number of practical problems. The most important of them are the construction of necessary and sufficient conditions for an extremum for ...
Nefedov Viktor
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Symmetric powers, Steenrod operations and representation stability [PDF]
Working over the prime field F_p, the structure of the indecomposables Q^* for the action of the algebra of Steenrod reduced powers A(p) on the symmetric power functors S^* is studied by exploiting the theory of strict polynomial functors.
Powell, Geoffrey
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A combinatorial optimization problem is called stable if its solution is preserved under perturbation of the input parameters that do not exceed a certain threshold – the stability radius.
I. V. Kozlov
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