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Numerical Modeling of the Transformation of Whispering Gallery Modes of Photonic Crystal Lasers into Lattice Modes
AbstractThe current paper focuses on the study of 2-D photonic crystal lasers. The effect of changing of the photonic crystal laser structure on the...
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Size effects on the mixed modes and defect modes for a nano-scale phononic crystal slab
The size-dependent band structure of an Si phononic crystal (PnC) slab with an air hole is studied by utilizing the non-classic wave equations of the...
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On the discrepancies between POD and Fourier modes on aperiodic domains
The application of Fourier analysis in combination with the Proper Orthogonal Decomposition (POD) is investigated. In this approach to turbulence...
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Fourier Modes in Fluid Flow and Energy Cascade
The main challenge for wind engineers nowadays is the precise prediction of peak wind pressures on buildings, which are determined by the surrounding... -
Frequency Domain Analysis of Second Order Sliding Modes
Higher order sliding modes (SM) and second order sliding modes (SOSM) in particular have received a lot of attention from the control research... -
On the geometry of elementary flux modes
Elementary flux modes (EFMs) play a prominent role in the constraint-based analysis of metabolic networks. They correspond to minimal functional...
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Information Support for Aircraft Crew in Takeoff and Landing Modes
AbstractMethods for assessing the current state and forecasting critical events are developed in order to reduce the stress load on the pilot of an...
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Synthesis of an Optimal System with Stable Sliding Modes
AbstractA method for synthesizing an optimal control that ensures the existence and stability of sliding modes for a system of nonlinear ordinary...
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Zero Modes of the Laplace Operator in Two-Loop Calculations in the Yang-Mills Theory
In this paper we study two-loop calculations in the Yang–Mills theory. Using the heat kernel method we construct two Green functions and add...
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Animal Shapes, Modal Analysis, and Visualization of Motion (III): Giraffe, Duck, Goose, T-Rex Dinosaur, and the Flying Modes of Eagle
This paper contains more varieties of animals, including the giraffe, bird species duck, goose and eagle, and the T-Rex dinosaur. They range across...
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Transfer of Energy from Flexural to Torsional Modes for the Fish-Bone Suspension Bridge Model
We consider a conservative coupled oscillators system which arises as a simplified model of the interaction of flexural and torsional modes of...
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Asymptotic and Bootstrap Confidence Intervals for the Ratio of Modes of Log-normal Distributions
AbstractThe log-normal distribution is essential for modeling positively skewed life-time data. Consequently, the log-normal distribution is used in...
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Numerical Evaluation of Frequencies and the Modes of Free Vibrations of Isosceles Triangular Plates with Free Edges
Free vibrations are analyzed for isotropic plates in the form of isosceles triangles. We deduce the formula for the evaluation of the frequencies of...
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Modes of Convergence
To estimate an unknown parameter, we can draw some independent samples and obtain an estimator from the samples. It is natural to ask whether the... -
Numerical Modeling of Lattice Modes of Photonic-Crystal Lasers by Galerkin Method with Exact Matrix Elements
AbstractThe paper is devoted to the mathematical modeling of the two-dimensional dielectric photonic-crystal resonators. The original eigenvalue...
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Asymptotic stability of kink with internal modes under odd perturbation
We give a sufficient condition, in the spirit of Kowalczyk–Martel–Munoz–Van Den Bosch (Ann PDE 7(1):Paper No. 10, 98, 2021), for the local asymptotic...
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The Interaction of Economic Agents in Cournot Duopoly Models under Ecological Conditions: A Comparison of Organizational Modes
AbstractThis paper presents a comparative analysis of the efficiency of organizational modes (information structures) for the interaction of economic...
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Oscillatory modes on the onset of electrohydrodynamic instability in Maxwellian nanofluid saturated anisotropic porous layer
This paper deals with the onset of oscillatory convection in a rheological nanofluid saturating anisotropic porous layer in the presence of a...
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Analytic Properties of Solutions to the Equation of Internal Gravity Waves with Flows for Critical Modes of Wave Generation
AbstractIssues related to the statement of problems of describing the dynamics of linear internal gravity waves in stratified media with horizontal...