Results 61 to 70 of about 71,208 (194)
PhotonicsThe stability properties of the Hill equation are discussed, especially those of the Mathieu equation that characterize ion motion in electrodynamic traps.
Bogdan M. Mihalcea
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, 2003 We present a general, asymptotical solution for the discretised harmonic oscillator. The corresponding Schr\"odinger equation is canonically conjugate to the Mathieu differential equation, the Schr\"odinger equation of the quantum pendulum.
Barton G. +16 more
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Numerical study on 2:1 nonlinear parametric resonant responses of a Spar buoy in waves
Applied Ocean ResearchThis paper investigates the 2:1 parametric resonant behaviors of a Spar buoy in waves from the perspective of nonlinear dynamics. A coupled dynamic model of an experimental Spar buoy is established, incorporating its mooring system and nonlinear ...
Jingrui Zhao, Zhishuai Liu, Xiang Lin
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Dynamic Stability of the Periodic and Aperiodic Structures of the Bernoulli-Euler Beams [PDF]
Archives of Metallurgy and MaterialsThe study analyzed the influence of periodic and aperiodic stiffness distribution for the four-element Bernoulli-Euler beam on the first two eigenfrequencies and the dynamic stability of the system. The influence of increasing the ratio of cross-sections
J. Garus +3 more
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An Analysis of Thermal-Bending Stresses in a Simply Supported Thin Elliptical Plate [PDF]
Journal of Applied and Computational Mechanics, 2018 In this paper, a transient thermal stress investigation on a simply supported thin elliptical plate during sectional heating with time-dependent temperature supply is considered.
Vinod Varghese
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Confluence of singularities of differential equation: a Lie algebra contraction approach [PDF]
, 2008 We investigate here the confluence of singularities of Mathieu differential equation by means of the Lie algebra contraction of the Lie algebra of the motion group M(2) on the Heisenberg Lie algebra H(3).
Manchon, Dominique +1 more
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Analytical Solution of Mathieu Equation
, 2014 The general solution of the homogeneous damped Mathieu equation in the analytical form, allowing its practical using in many applications, including superconductivity studies, without numerical calculations has been found.
Yerchuck, Dmitri +3 more
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WKB and resurgence in the Mathieu equation [PDF]
, 2017 In this paper, based on lectures by the authors at the May 2015 workshop {\it Resurgence, Physics and Numbers}, at the Centro di Ricerca Matematica Ennio De Giorgio of the Scuola Normale Superiore in Pisa, we explain the origin of resurgent trans-series in the Mathieu equation spectral problem, using uniform WKB and all-orders (exact) WKB.
Dunne, Gerald V., Unsal, Mithat
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Paul İyon Tuzağında Tek İyon Dinamiği
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2015 Özet: Bu çalışmada, iyonları elektrostatik tuzaklamaya dayalı Paul tuzağı içindeki iyon dinamikleri incelenmiştir. Paul tuzağı DC ve AC gerilim kombinasyonu ile kuadrupol elektrotların beslenmesi temeline dayanmaktadır.
Hüsnü AKSAKAL, Serkan AVCI
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Asymptotic analysis of geometrically nonlinear vibrations of long plates
Учёные записки Казанского университета: Серия Физико-математические науки, 2020 In this paper, we performed an asymptotic analysis for equations of the classical plate theory with the von K´arma´n strains under the assumption that the width of the plate is small compared with its length.
B. Affane, A.G. Egorov
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