Article
Materials Science, Multidisciplinary
Firdous A. Shah, Mohd Irfan, Kottakkaran S. Nisar, R. T. Matoog, Emad E. Mahmoud
Summary: This article proposes a new operational matrix method based on Fibonacci wavelets and block pulse functions for solving time-fractional telegraph equations, yielding precise outcomes and higher computational efficiency compared to current methods.
RESULTS IN PHYSICS
(2021)
Article
Optics
Mohd Irfan, A. Firdous Shah
Summary: In this article, a new non-orthogonal wavelet collocation method based on Fibonacci wavelets is proposed for solving the time-fractional Pennes bioheat transfer model. The study investigates the impact of fractional parameter and time on the temperature field, demonstrating their significant influence on the temperature distribution of living tissue. Numerical results show that the proposed method using Fibonacci wavelets is an efficient technique for solving the time-fractional bioheat transfer model.
Article
Astronomy & Astrophysics
Benjamin Elder, Jeremy Sakstein
Summary: We study the weak field limit of scalar-Gauss-Bonnet theory and impose new constraints on the parameter space using terrestrial and space-based experiments. By analyzing the theory in various experiments, we calculate the deviations from Einstein gravity around source masses with different symmetries. We discover that there is a correction to the Newtonian potential around spherical and cylindrical sources, which can exceed parametrized post-Newtonian corrections near the source. This results in a three-fold improvement in laboratory constraints on the scalar-Gauss-Bonnet coupling parameter ?. The current limits from laboratory and Solar System experiments are superseded by tests relating to black holes.
Article
Optics
Ekaterina S. Yastrebova, Ivan Dolgikh, Konstantin Gilev, Irina V. Vakhrusheva, Elizaveta Liz, Alena L. Litvinenko, Vyacheslav M. Nekrasov, Dmitry Strokotov, Andrei A. Karpenko, Valeri P. Maltsev
Summary: This study introduces a method for discrimination of spherical and non-spherical single particles based on the measurement of the most intensive element S-11 of light-scattering matrix. A shape-sensitive vector-invariant is constructed from the parameters of light-scattering profile for individual spherical particles, serving as a numerical criterion for identifying spherical particles. The vector-invariant has been shown to effectively recognize spherical cells among non-spherical ones both theoretically and experimentally.
OPTICS AND LASER TECHNOLOGY
(2021)
Article
Mathematics, Interdisciplinary Applications
Octavian Postavaru, Antonela Toma
Summary: This study demonstrates that Fibonacci sequences in time scales satisfy the FLRW dynamic equation and presents the Lagrangian and Hamiltonian formalism for describing these equations. The results show that, for a certain granulation, both continuous and discrete universes exhibit the same dynamics.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics
Noorsufia Abd Shukor, Tahir Ahmad, Amidora Idris, Siti Rahmah Awang, Amirul Aizad Ahmad Fuad
Summary: This paper explores the relationship between assembly graphs and Hamiltonian paths in fuzzy topographic topological mapping, as well as their connections to Hamiltonian polygonal paths and the k-Fibonacci sequence. The research establishes the existence of assembly graphs in FTTMn and determines the number of paths for their Hamiltonian polygonal paths.
JOURNAL OF MATHEMATICS
(2021)
Article
Engineering, Electrical & Electronic
Syed Bari, Qiang Li, Fred C. Lee
Summary: This article introduces a new control method called 'inverse charge constant on-time' (IQCOT) control to improve transient performance in CMCOT for voltage regulators (VRs). The IQCOT control naturally adjusts the T-ON time in load step-up or stepdown transients, providing optimized response without the need for nonlinear control. It offers fast and optimized transient response, higher light-load efficiency, and seamless operation in multiphase applications, making it a promising choice for modern VR applications.
IEEE JOURNAL OF EMERGING AND SELECTED TOPICS IN POWER ELECTRONICS
(2021)
Article
Mathematics, Applied
Pooja Yadav, Shah Jahan, Kottakkaran Sooppy Nisar
Summary: This study focuses on time fractional convection-diffusion equations with variable coefficients and their numerical solutions. An effective approach utilizing Fibonacci wavelet and block pulse functions is proposed to obtain an approximate solution to the equations. The comparison and analysis with other approaches demonstrate the effectiveness and precision of the suggested approach.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Astronomy & Astrophysics
Bita Farsi, Ahmad Sheykhi, Mohsen Khodadi
Summary: Using the spherical collapse formalism, we study the linear evolution of matter overdensity in energy-momentum-squared gravity (EMSG), which can be seen as an extension of the ΛCDM model. We find that the modifications from EMSG have effects on the growth of perturbations in the early Universe. We discuss the role of EMSG model parameter on the evolution of matter density contrast and growth function at the level of linear perturbations.
Article
Physics, Particles & Fields
Asier Alonso-Bardaji, David Brizuela
Summary: This study introduces the application of Loop quantum gravity theory in spherically symmetric spacetimes, proposing holonomy and inverse-triad corrections and developing anomaly-free effective constraints encoding these corrections. By modifying the Hamiltonian constraint, a modified Hamiltonian in the form of a first-class algebra is obtained, constructing a family of consistent deformations of spherical general relativity. The analysis also explores the cases of vacuum model and two matter models, concluding that holonomy corrections are not allowed under certain matter fields.
EUROPEAN PHYSICAL JOURNAL C
(2021)
Article
Computer Science, Artificial Intelligence
Xiaomin Liu, Chunyu Yang, Song Zhu
Summary: This paper introduces a method to achieve optimal synchronization control between two CNNs using the drive-response idea and inverse optimality techniques, while avoiding solving the Hamilton-Jacobi-Bellman (HJB) equation. The designed controller is linear and easy to implement, demonstrating feasibility and superiority through an example.
NEURAL COMPUTING & APPLICATIONS
(2022)
Article
Physics, Multidisciplinary
David Damanik, Licheng Fang, Hyunkyu Jun
Summary: In this study, we explore the spectral properties of discrete one-dimensional Schrodinger operators with potentials generated by sampling along the elements of the Fibonacci subshift using a locally constant function. We introduce the fundamental trace map formalism for this model and connect it to its spectral features, extending previous works on the classical model where the sampling function depends on a single entry of the sequence.
ANNALES HENRI POINCARE
(2021)
Article
Mathematics
Mikhail Karpukhin, Xuwen Zhu
Summary: This paper investigates spherical conical metrics on a surface Sigma and the eigenfunctions of the Friedrichs Laplacian Delta(g) with eigenvalue lambda = 2. The author applies the theory of multivalued harmonic maps to spheres to study the existence of such eigenfunctions. In the first part, a new criterion for the existence of 2-eigenfunctions is established, and a description of all 2-eigenfunctions for metrics on the sphere with at most three conical singularities is provided as an application. The second part presents an algebraic construction of metrics with a large number of 2-eigenfunctions through the deformation of multivalued harmonic maps.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
(2022)
Article
Mathematics
Filipe Kelmer, Keti Tenenblat
Summary: This article discusses the properties and classifications of systems of partial differential equations describing pseudospherical and spherical surfaces. It also applies the theory to obtain new examples and new families of differential equations, including generalizations of some classic systems.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2022)
Article
Chemistry, Multidisciplinary
Huiyuan Sun, Thushara D. Abhayapala, Prasanga N. Samarasinghe
Summary: This paper introduces a time domain spherical harmonic decomposition algorithm developed for spatial audio processing in the context of active noise control. The algorithm processes microphone signals using pre-designed FIR filters to obtain continuous spatial information of the residual sound field, showing lower delay in numerical simulations compared to existing methods.
APPLIED SCIENCES-BASEL
(2021)
Article
Computer Science, Software Engineering
Michael Zollhoefer, Angela Dai, Matthias Innmann, Chenglei Wu, Marc Stamminger, Christian Theobalt, Matthias Niessner
ACM TRANSACTIONS ON GRAPHICS
(2015)
Proceedings Paper
Computer Science, Hardware & Architecture
Darius Rueckert, Matthias Innmann, Marc Stamminger
ADJUNCT PROCEEDINGS OF THE 2019 IEEE INTERNATIONAL SYMPOSIUM ON MIXED AND AUGMENTED REALITY (ISMAR-ADJUNCT 2019)
(2019)
Proceedings Paper
Computer Science, Artificial Intelligence
Matthias Innmann, Michael Zollhoefer, Matthias Niessner, Christian Theobalt, Marc Stamminger
COMPUTER VISION - ECCV 2016, PT VIII
(2016)