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  1. Numerical Modeling of the Transformation of Whispering Gallery Modes of Photonic Crystal Lasers into Lattice Modes

    Abstract

    The current paper focuses on the study of 2-D photonic crystal lasers. The effect of changing of the photonic crystal laser structure on the...

    I. V. Ketov, A. O. Spiridonov, ... E. M. Karchevskii in Lobachevskii Journal of Mathematics
    Article 01 November 2023
  2. 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...

    Jun **, Ningdong Hu, Hong** Hu in Applied Mathematics and Mechanics
    Article Open access 29 December 2022
  3. 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...

    Azur Hodžić, Peder J. Olesen, Clara M. Velte in Journal of Engineering Mathematics
    Article Open access 19 March 2024
  4. 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...
    Irina Afanasyeva, Bailey Downing, Rathinam Panneer Selvam in Advances in Mathematical Modeling and Scientific Computing
    Conference paper 2024
  5. 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...
    Chapter
  6. 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...

    Frederik Wieder, Martin Henk, Alexander Bockmayr in Journal of Mathematical Biology
    Article Open access 30 August 2023
  7. Information Support for Aircraft Crew in Takeoff and Landing Modes

    Abstract

    Methods for assessing the current state and forecasting critical events are developed in order to reduce the stress load on the pilot of an...

    A. M. Shevchenko, B. V. Pavlov, G. N. Nachinkina in Automation and Remote Control
    Article 01 October 2023
  8. Synthesis of an Optimal System with Stable Sliding Modes

    Abstract

    A method for synthesizing an optimal control that ensures the existence and stability of sliding modes for a system of nonlinear ordinary...

    Article 01 May 2023
  9. 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...

    Article 01 September 2023
  10. 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...

    **g Yang, Goong Chen, ... Darrell Corti in The Journal of Geometric Analysis
    Article 28 July 2023
  11. 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...

    Clelia Marchionna, Stefano Panizzi in Milan Journal of Mathematics
    Article Open access 18 February 2023
  12. Asymptotic and Bootstrap Confidence Intervals for the Ratio of Modes of Log-normal Distributions

    Abstract

    The log-normal distribution is essential for modeling positively skewed life-time data. Consequently, the log-normal distribution is used in...

    Lapasrada Singhasomboon, Chengyu Gao, ... Andrei Volodin in Lobachevskii Journal of Mathematics
    Article 01 September 2023
  13. 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...

    O. Ya. Grigorenko, M. Yu. Borysenko, O. V. Boychuk in Journal of Mathematical Sciences
    Article 29 May 2023
  14. 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...
    Chapter 2023
  15. On Normal Modes of a Waveguide

    O. K. Kroytor, M. D. Malykh, L. A. Sevast’yanov in Computational Mathematics and Mathematical Physics
    Article 01 March 2022
  16. Numerical Modeling of Lattice Modes of Photonic-Crystal Lasers by Galerkin Method with Exact Matrix Elements

    Abstract

    The paper is devoted to the mathematical modeling of the two-dimensional dielectric photonic-crystal resonators. The original eigenvalue...

    I. V. Ketov, A. O. Spiridonov, ... E. M. Karchevskii in Lobachevskii Journal of Mathematics
    Article 01 January 2023
  17. 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...

    Article 19 October 2022
  18. The Interaction of Economic Agents in Cournot Duopoly Models under Ecological Conditions: A Comparison of Organizational Modes

    Abstract

    This paper presents a comparative analysis of the efficiency of organizational modes (information structures) for the interaction of economic...

    G. A. Ougolnitsky, A. B. Usov in Automation and Remote Control
    Article 01 February 2023
  19. 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...

    Jyoti Devi, Veena Sharma, Gian C. Rana in Ricerche di Matematica
    Article 17 June 2023
  20. Analytic Properties of Solutions to the Equation of Internal Gravity Waves with Flows for Critical Modes of Wave Generation

    Abstract

    Issues related to the statement of problems of describing the dynamics of linear internal gravity waves in stratified media with horizontal...

    Article 01 September 2023
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