Article
Mathematics, Applied
Dmitry E. Pelinovsky, Alexey V. Slunyaev, Anna V. Kokorina, Efim N. Pelinovsky
Summary: Compactons are localized bell-shaped waves that propagate in the same direction as waves of the linear KdV equation. Their amplitude and width are inversely proportional to their speed. Through numerical and analytical methods, the energetic stability and dynamics of compactons have been studied, including their interactions with other waves.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Article
Physics, Multidisciplinary
Robert J. Lewis-Swan, Diego Barberena, Julia R. K. Cline, Dylan J. Young, James K. Thompson, Ana Maria Rey
Summary: The proposal suggests simulating dynamical phases of a BCS superconductor using cold atoms trapped in an optical cavity, with effective Cooper pairs encoded via internal states of the atoms and attractive interactions realized through the exchange of virtual photons. By controlling the interaction strength and dispersion relation of the effective Cooper pairs, exploration of the full dynamical phase diagram of the BCS model is enabled. This proposal opens the door for studying the nonequilibrium features of quantum magnetism and superconductivity through atom-light interactions in cold atomic gases.
PHYSICAL REVIEW LETTERS
(2021)
Article
Materials Science, Multidisciplinary
Motohiko Ezawa
Summary: In this paper, we study a transient dynamical topological phase transition in a Cooper-pair box array, revealing a system in which the topological property is only apparent in the dynamics. By exploring wave propagation induced by quench dynamics, we observe a rich topological phase diagram.
Article
Mathematics, Applied
A. Q. Khan, S. M. Qureshi
Summary: This study investigates the equilibrium points, local and global dynamics, rate of convergence, instability, and boundedness of positive solutions of some rational systems of difference equations. In addition, it explores the local dynamics around equilibrium points of the discrete-time Levin's model as an application in mathematical biology. The obtained results are then numerically verified.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Physics, Multidisciplinary
F. C. E. Lima, A. R. P. Moreira, C. A. S. Almeida
Summary: This study investigates the influence of matter field and gauge field on the metric functions of the AdS(3) spacetime in the Maxwell-Higgs model. The appearance of black hole solutions is noticed with the presence of a matter field with a solitonic profile that can adjust the field variable. The compactification of the matter field affects the metric functions while not changing the structure of the magnetic black hole vortex horizon.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Mathematics
Cristian Lazureanu
Summary: The paper investigates systems of three autonomous first-order differential equations under the condition that x(t)+y(t)+z(t) is constant for all t. It presents Hamilton-Poisson formulations, integrable deformations, and analyzes the case of Kolmogorov systems. The three-dimensional Lotka-Volterra system with constant population is studied from standard and nonstandard Poisson geometry perspectives.
Article
Automation & Control Systems
Can Chen
Summary: In this article, we use tensor algebra to provide a system-theoretic treatment of certain continuous-time homogeneous polynomial dynamical systems (HPDS). By representing the system of homogeneous polynomial differential equations with an orthogonally decomposable (odeco) tensor, we can construct its explicit solution using tensor Z-eigenvalues and Z-eigenvectors. We discuss the stability properties of an odeco HPDS by utilizing the form of the explicit solution and establish results for determining if a general HPDS can be transformed or approximated by an odeco HPDS.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Chemistry, Physical
Jiang-Jiang Ma, Xue-Fen Han, Xiao-Xiao Cai, Ruizhi Qiu, Olle Eriksson, Ping Zhang, Bao-Tian Wang
Summary: In this study, molecular dynamics simulations were performed to investigate the mechanical and dynamical stabilities of gamma-(U,Zr) alloys under high temperatures. The results showed that gamma-U, beta-Zr, and gamma-(U,Zr) were all mechanically and dynamically stable at 1200 K. The alloying treatment with Zr effectively improved the mechanical strength and melting points of gamma-U, making it more suitable for nuclear reactors.
Article
Physics, Multidisciplinary
Grzegorz Michalek, Bogdan R. Bulka
Summary: This study investigates electron entanglement through current-current correlations in two Cooper pair splitter devices, one with one quantum dot (1QD) and another with two quantum dots (2QD), under various Coulomb interactions and weak coupling with metallic electrodes. The analysis reveals bunching and antibunching effects of split particles, highlighting positive inter-level components and negative intra-level components between electron and hole currents flowing to different electrodes, as well as the presence of low-frequency polarization fluctuations in current cross-correlations.
NEW JOURNAL OF PHYSICS
(2021)
Article
Electrochemistry
M. T. Morukuladi, N. L. Lethole, M. C. Masedi, N. N. Ngoepe, P. E. Ngoepe
Summary: This study presents first-principles calculations on the properties of transition metal carbonates, including their structure, thermodynamics, electronics, elasticity, and dynamics. The results demonstrate the excellent stability and performance of these materials, making them promising precursors for advanced cathode materials in lithium-ion batteries.
JOURNAL OF THE ELECTROCHEMICAL SOCIETY
(2022)
Article
Mathematics, Interdisciplinary Applications
Zdenek Kocan, Veronika Kurkova, Michal Malek
Summary: The paper investigates various properties that can be exhibited by dynamical systems generated by continuous maps on compact metric spaces, and surveys the relationships among these properties for graph maps and dendrite maps. Open problems are also formulated at the end of the paper.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2021)
Article
Mathematical & Computational Biology
Amit Kumar, Jehad Alzabut, Sudesh Kumari, Mamta Rani, Renu Chugh
Summary: This paper presents a new one-dimensional chaotic map K(x) = mu x(1 -x) and analyzes its dynamical properties and comparison with the traditional logistic map. The results show that this map has a larger range of stability and chaos, which may achieve better results in the fields where the logistic map has been used before.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Hannah Al Ali, Alireza Daneshkhah, Abdesslam Boutayeb, Noble Jahalamajaha Malunguza, Zindoga Mukandavire
Summary: This paper develops a mathematical model for Type 1 diabetes and uses sensitivity analysis methods to identify influential parameters in the model. The results show that insulin clearance and absorption rates have a significant impact on the model's response variables at different time points. This study highlights the importance of statistical and mathematical analytic approaches in understanding the pathological processes of diabetes.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2022)
Article
Materials Science, Multidisciplinary
N. E. H. Djezzar, K. Driss-Khodja, B. Amrani
Summary: By utilizing density functional theory, this study thoroughly investigated the electronic structure, stability, optical, and mechanical properties of the new structure Mg3CdO4. The compound was found to have excellent stability and potential applications in optoelectronic technologies.
MATERIALS TODAY COMMUNICATIONS
(2021)
Article
Mathematics
Nataliia Goloshchapova
Summary: In this paper, we study the solution of the nonlinear Schrodinger equation with delta(s)' coupling of non-zero intensity beta on the star graph Gamma. In the first part, we prove the existence of the ground state solution as a minimizer of the action functional S-omega on the Nehari manifold under certain restrictions on beta. The family of critical points contains the ground state solution as well as other solutions. The second part focuses on the orbital instability of the critical points, proving spectral instability and C-2 class property of the data-solution mapping, and demonstrating strong instability for certain critical points when p>5.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2022)
Article
Physics, Multidisciplinary
Fred Cooper, Avinash Khare, Andrew Comech, Bogdan Mihaila, John F. Dawson, Avadh Saxena
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2017)
Article
Physics, Multidisciplinary
John F. Dawson, Fred Cooper, Avinash Khare, Bogdan Mihaila, Edward Arevalo, Ruomeng Lan, Andrew Comech, Avadh Saxena
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2017)
Article
Physics, Multidisciplinary
Fred Cooper, John F. Dawson, Franz G. Mertens, Edward Arevalo, Niurka R. Quintero, Bogdan Mihaila, Avinash Khare, Avadh Saxena
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2017)
Article
Engineering, Multidisciplinary
Bogdan Mihaila, Marko Knezevic, Andres Cardenas
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2014)
Article
Engineering, Mechanical
Marko Knezevic, Rodney J. McCabe, Carlos N. Tome, Ricardo A. Lebensohn, Shuh Rong Chen, Carl M. Cady, George T. Gray, Bogdan Mihaila
INTERNATIONAL JOURNAL OF PLASTICITY
(2013)
Article
Materials Science, Multidisciplinary
Bogdan Mihaila, Marius Stan, Justin Crapps
JOURNAL OF NUCLEAR MATERIALS
(2012)
Article
Materials Science, Multidisciplinary
Bogdan Mihaila, Marius Stan, Justin Crapps, Di Yun
JOURNAL OF NUCLEAR MATERIALS
(2013)
Article
Physics, Condensed Matter
J. C. Lashley, K. Gofryk, B. Mihaila, J. L. Smith, E. K. H. Salje
JOURNAL OF PHYSICS-CONDENSED MATTER
(2014)
Article
Materials Science, Multidisciplinary
Marko Knezevic, Rodney J. McCabe, Ricardo A. Lebensohn, Carlos N. Tome, Cheng Liu, Manuel L. Lovato, Bogdan Mihaila
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2013)
Article
Nuclear Science & Technology
Justin Crapps, Kester Clarke, Joel Katz, David J. Alexander, Beverly Aikin, Victor D. Vargas, Joel D. Montalvo, David E. Dombrowski, Bogdan Mihaila
NUCLEAR ENGINEERING AND DESIGN
(2013)
Article
Materials Science, Multidisciplinary
Nathan A. Mara, Justin Crapps, Thomas A. Wynn, Kester D. Clarke, Antonia Antoniou, Patricia O. Dickerson, David E. Dombrowski, Bogdan Mihaila
PHILOSOPHICAL MAGAZINE
(2013)
Article
Optics
John F. Dawson, Fred Cooper, Chih-Chun Chien, Bogdan Mihaila
Article
Multidisciplinary Sciences
Yejun Feng, Jiyang Wang, D. M. Silevitch, B. Mihaila, J. W. Kim, J. -Q. Yan, R. K. Schulze, Nayoon Woo, A. Palmer, Y. Ren, Jasper van Wezel, P. B. Littlewood, T. F. Rosenbaum
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2013)
Article
Multidisciplinary Sciences
Yejun Feng, Jiyang Wang, A. Palmer, J. A. Aguiar, B. Mihaila, J. -Q. Yan, P. B. Littlewood, T. F. Rosenbaum
NATURE COMMUNICATIONS
(2014)
Article
Materials Science, Multidisciplinary
Mani Pokharel, Huaizhou Zhao, Kevin Lukas, Zhifeng Ren, Cyril Opeil, Bogdan Mihaila
MRS COMMUNICATIONS
(2013)
