Results 291 to 300 of about 2,121,946 (336)

Averaging Principle for Stochastic Perturbations of Multifrequency Systems

Stochastics and Dynamics, 2003
We consider the averaging principle for deterministic and stochastic perturbations of multidimensional dynamical systems for which coordinates can be introduced in such a way that the "fast" coordinates change in a torus (for Hamiltonian systems, "action-angle coordinates"). Stochastic perturbations of the white-noise type are considered.
Freidlin, M. I., Wentzell, A. D.
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Research on sliver detection based on microwave resonant cavity perturbation principle

Journal of the Textile Institute
Improving sliver quality is fundamental to the high-quality development of the spinning industry. The effectiveness of sliver quality detection technology directly affects sliver quality control.
Shuaixing Shi, Xinrong Li, Wenqian Feng, Penghui Han, Rongfang Liu   +4 more
semanticscholar   +1 more source

Energy principle for resistive perturbations in Tokamaks

Plasma Physics, 1977
An energy principle has been found for all resistive perturbations of a circular plasma cylinder in the Tokamak scaling (kr approximately=Btheta /Bz approximately= epsilon ). It allows stability to be determined independently of the resistive scaling because resistivity is taken to be finite. The inclusion of FLR effects and viscosity would only reduce
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Versions of Ekeland’s variational principle involving set perturbations

Journal of Global Optimization, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Phan Quoc Khanh, Dinh Ngoc Quy
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Principles of finite-dimensional perturbation theory

Low Temperature Physics, 1997
The theory of finite-dimensional perturbations of self-adjoint operators, which is aimed at the solution of physical problems, is reviewed. Special attention is paid to the special kind of operators, which permits efficient application of the J-matrix technique. The spectral density of a periodic J-matrix is calculated.
I. V. Krasovskiı̆, V. I. Peresada
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Variational principles and thermodynamical perturbations

Journal of Physics A: Mathematical and General, 2004
Summary: Thermodynamical perturbation theory provides a method for calculating the partition function or the free energy of a system from the properties of another system. The first-order perturbation takes advantage of inequalities such as the Gibbs-Bogoliubov inequality in classical mechanics and the Peierls and Bogoliubov inequalities in quantum ...
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Limiting Absorption Principle for Singularly Perturbed Operators

Mathematische Nachrichten, 2001
Assume the limiting absorption principle for a selfadjoint operator \(H_1\). If \(H_2\) is another selfadjoint operator such that \((H_1- z)^{-p}- (H_2- z)^{-p}\), \(p\in\mathbb{R}\), is compact for some \(z\in \text{res }H_1\cap \text{res }H_2\), then the limiting absorption is valid also for \(H_2\). This result is applied to \(H_2\) which arise from
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Singular Perturbation-Based Fault-Tolerant Control of the Air-Breathing Hypersonic Vehicle

IEEE/ASME transactions on mechatronics, 2019
This article studies the fault-tolerant control issue of the air-breathing hypersonic vehicle subject to the actuator fault. Through singular perturbation modeling, the longitudinal dynamics of the vehicle can be transformed into a three-time-scale ...
Wenjing Ren, B. Jiang, Hao Yang
semanticscholar   +1 more source

A FRACTAL VARIATIONAL PRINCIPLE FOR THE TELEGRAPH EQUATION WITH FRACTAL DERIVATIVES

Fractals, 2020
A fractal modification of the telegraph equation with fractal derivatives is given, and its variational principle is established by the semi-inverse method.
Kang-le Wang, Shaowen Yao, Yanping Liu, Li-na Zhang   +3 more
semanticscholar   +1 more source

Complementary variational principles in perturbation theory

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1968
Abstract Complementary upper and lower bounds are derived for second-order quantum-mechanical perturbation energies. The upper bound is equivalent to that of Hylleraas. The lower bound appears to be new, but reduces to that of Prager & Hirschfelder if a certain constraint is applied.
A. M. Arthurs, P. D. Robinson
openaire   +1 more source