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High-Frequency Instabilities of the Ostrovsky Equation [PDF]

open access: yesWater Waves, 2022
We study spectral stability of small amplitude periodic traveling waves of the Ostrovsky equation. We prove that these waves exhibit spectral instabilities arising from a collision of pair of non-zero eigenvalues on the imaginary axis when subjected to square integrable perturbations on the whole real line. We also list all such collisions between pair
null Bhavna   +2 more
openaire   +2 more sources

Frequency locking in an injection-locked frequency divider equation [PDF]

open access: yesProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2008
We consider a model for a resonant injection-locked frequency divider, and study analytically the locking onto rational multiples of the driving frequency. We provide explicit formulae for the width of the plateaux appearing in the devil's staircase structure of the lockings, and in particular show that the largest plateaux correspond to even integer ...
Bartuccelli, MV, Deane, JHB, Gentile, G
openaire   +3 more sources

Comparison of dominant frequency attenuation of blasting vibration for different charge structures

open access: yesJournal of Rock Mechanics and Geotechnical Engineering, 2022
Dominant frequency attenuation is a significant concern for frequency-based criteria of blasting vibration control. It is necessary to develop a concise and practical prediction equation describing dominant frequency attenuation.
Pengchang Sun   +5 more
doaj   +1 more source

Difference‐Equation‐Based Digital Frequency Synthesizer [PDF]

open access: yesMathematical Problems in Engineering, 2012
This paper presents a novel algorithm and architecture for digital frequency synthesis (DFS). It is based on a simple difference equation. Simulation results show that the proposed DFS algorithm is preferable to the conventional phase‐locked‐loop frequency synthesizer and the direct digital frequency synthesizer in terms of the spurious‐free dynamic ...
Lu-Ting Ko   +4 more
openaire   +1 more source

Linearized frequency domain Landau-Lifshitz-Gilbert equation formulation

open access: yesAIP Advances, 2023
We present a general finite element linearized Landau-Lifshitz-Gilbert equation (LLGE) solver for magnetic systems under weak time-harmonic excitation field.
Zhuonan Lin, Vitaliy Lomakin
doaj   +1 more source

He’s frequency formula to fractal undamped Duffing equation

open access: yesJournal of Low Frequency Noise, Vibration and Active Control, 2021
Nonlinear oscillation is an increasingly important and extremely interesting topic in engineering. This article completely reviews a simple method proposed by Ji-Huan He and successfully establishes a fractal undamped Duffing equation through the two ...
Guang-Qing Feng
doaj   +1 more source

An Exact Dynamic Analysis Method for Shallow Sagged Cables

open access: yesXibei Gongye Daxue Xuebao, 2020
With the increase of the span and height of modern engineering structures, the design complexity of the cable structure is constantly increasing, whose dynamic problem has become the key to structural design, performance monitoring and maintenance, and ...

doaj   +1 more source

Dimensionless Zakharov equation; high-frequency Langmuir waves and low-frequency ion-acoustic waves’ interaction

open access: yesAIP Advances, 2022
This study investigates the physical significance of the dimensionless Zakharov equation ZE, which theoretically describes the interaction between high-frequency Langmuir waves and low-frequency ion-acoustic waves.
A. M. Algelany   +2 more
doaj   +1 more source

Phase Velocity and Attenuation of Longitudinal Shear Vibrations of Hollow Poroelastic Cylinders

open access: yesInternational Journal of Applied Mechanics and Engineering, 2014
The present paper is devoted to the study of phase velocity and attenuation of longitudinal shear vibrations of hollow poroelastic circular cylinders in the presence of dissipation.
S. Ahmed Shah, S. Javvad Hussaini
doaj   +1 more source

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