Results 11 to 20 of about 1,438,024 (273)
The damped Mathieu equation [PDF]
We establish an asymptotic lower bound for the minimum excitation needed to cause instability for the damped Mathieu equation. The methods used are Floquet theory and Liapunov-Schmidt, and we use a fact about the width of the instability interval for the undamped Mathieu equation. Our results are compared with published numerical data.
Turyn, Larry
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CHARTS STRUTT-INCE FOR GENERALIZED MATHIEU EQUATION [PDF]
We have investigated the solution of the generalized Mathieu equation. With the aid of diagrams Stratton-Ince built the instability region, the condition can occur when the parametric resonance.
R.I. Parovik
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New Upper Bounds for Mathieu-Type Series [PDF]
The Mathieu’s series S(r) was considered firstly by É.L. Mathieu in 1890; its alternating variant Š(r) has been recently introduced by Pogány et al. [Some families of Mathieu a-series and alternating Mathieu a-series, 2006] where various bounds have ...
Pogány, Tibor K, Tomovski, Živorad
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Magnetoelectric BaTiO<sub>3</sub>/CoFe<sub>2</sub>O<sub>4</sub> Thin-Film Meshes for Neuronal Differentiation. [PDF]
We engineer an epitaxial BaTiO3/CoFe2O4 magnetoelectric mesh that overcomes boundary‐induced mechanical clamping. Progressively reducing the mechanical constraint, from substrate‐clamped to PDMS‐transferred and ultimately freestanding, enhances magnetic‐to‐electric transduction and strengthens magnetoelectric coupling.
Mirjolet M +13 more
europepmc +2 more sources
Discrete Tracy--Widom operators. [PDF]
Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distribution of large self-adjoint random matrices from the generalized unitary ensembles.
McCafferty, Andrew, Blower, Gordon
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An instrumental insight for a periodic solution of a fractal Mathieu–Duffing equation
The primary goal of the present study is to investigate how to obtain a periodic solution for a fractal Mathieu–Duffing oscillator. To achieve this, the fractal oscillator in the fractal space has been transformed into a damping Mathieu–Duffing equation ...
Yusry O El-Dib +2 more
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The semi-analytical solution for transient electroosmotic flow through elliptic cylindrical microchannels is derived from the Navier-Stokes equations using the Laplace transform.
Nattakarn Numpanviwat, Pearanat Chuchard
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Computable solution of fractional kinetic equations using Mathieu-type series
The Mathieu series appeared in the study of elasticity of solid bodies in the work of Émile Leonard Mathieu. Since then numerous authors have studied various problems arising from the Mathieu series in several diverse ways.
Owais Khan +3 more
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On a fine localization of the Mathieu azimuthal numbers by Cassini ovals
The study is devoted to numerical and analytical problems concerning generating periodic and antiperiodic solutions of the angular (circumferential) Mathieu equation obtained for the circumferential harmonics of an elliptic cylinder.
Yuri Nikolaevich Radayev +1 more
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Numerical solution of fractional Mathieu equations by using block-pulse wavelets
In this paper, we introduce a method based on operational matrix of fractional order integration for the numerical solution of fractional Mathieu equation and then apply it in a number of cases.
P. Pirmohabbati +3 more
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