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Harmonic Balance with Small Signal Perturbation
Investigating perturbations of a periodic steady state of an electric circuit is of interest e.g. for small signal responses, noise analysis or the... -
Perturbation formulae for the generalized core–EP inverse
The aim of this paper is to present perturbation formulae and perturbation bounds for the GCEP inverse, gMP inverse and their duals. We also study...
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Perturbation Theory
Physical systems, including quantum bits, are always subject to the influence of various interactions with an external world. Perturbation theory is... -
Some Perturbation Bounds of the Tensor Complementarity Problem
In this paper, we introduce some constants with the tensors of special structures and present their some useful properties. Furthermore, some...
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Perturbation bounds for stable gyroscopic systems
In this paper we consider linear gyroscopic mechanical systems.More precisely, we consider the perturbation theory for stable gyroscopic systems. We...
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Perturbation Analysis on T-Eigenvalues of Third-Order Tensors
This paper concentrates on perturbation theory concerning the tensor T-eigenvalues within the framework of tensor-tensor multiplication. Notably, it...
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Perturbation theory for evolution of cooperation on networks
Network structure is a mechanism for promoting cooperation in social dilemma games. In the present study, we explore graph surgery, i.e., to slightly...
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Perturbation determinant and Levinson’s formula for Schrödinger operators with 1-D general point interaction
We consider the one-dimensional Schrödinger operator with properly connecting general point interaction at the origin. We derive a trace formula for...
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Parametric Singular Problems with an Indefinite Perturbation
We consider a parametric Dirichlet problem driven by a nonhomogenous differential operator. In the parametric reaction we have the competing effects...
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Perturbation of least squares problem of dual linear operator in dual-Hilbert spaces
We introduce the dual-Hilbert space and study the basic properties of a dual operator and its generalized inverse on this space. We provide upper...
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Perturbation Bounds for the Largest C-Eigenvalue of Piezoelectric-Type Tensors
In this paper, we focus on the perturbation analysis of the largest C -eigenvalue of the piezoelectric-type tensor which could determine the highest...
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Singular Perturbation Problems
This theory is devoted to study problems with small diffusion velocity. One is mainly concerned with the asymptotic behavior of the solution of such... -
The Perturbation Bound of the Extended Vertical Linear Complementarity Problem
In this paper, we discuss the perturbation analysis of the extended vertical linear complementarity problem (EVLCP). Under the assumption of the row
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Truncated Perturbation to Evolution Problems Involving Time-Dependent Maximal Monotone Operators
AbstractThis paper is devoted to the study of an evolution inclusion with unbounded nonconvex valued perturbation that is driven by a time-dependent...
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Spin–orbit synchronization and singular perturbation theory
In this study, we formulate a set of differential equations for a binary system to describe the secular-tidal evolution of orbital elements,...
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Adaptive perturbation method for optimal control problem governed by stochastic elliptic PDEs
In this paper, we apply the stochastic perturbation technique to solve the optimal control problem governed by elliptic partial differential equation...
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The Impact of Nonlinear Stochastic Perturbation on Dynamical Behavior of an HIV Infection System
In this paper, the authors develop and study an HIV infection system with two distinct cell subsets and nonlinear stochastic perturbation. Firstly,...
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Calculating a Perturbation of a Plasma Layer by an Electric Field
AbstractThe paper presents the results of solving a boundary value problem for a system of two integro-differential equations that simulate the...