Article
Multidisciplinary Sciences
Alessandra Celletti, Catalin Gales, Victor Rodriguez-Fernandez, Massimiliano Vasile
Summary: This paper demonstrates the ability of convolutional neural networks (CNNs) to classify different types of motion from time series data, without any prior knowledge of the underlying dynamics. By applying various forms of deep learning, the paper tests the performance of different deep learning architectures in predicting the character of the dynamics based solely on a time-ordered set of data. The paper shows that a properly trained CNN can accurately classify the types of motion in a given dataset, and also demonstrates effective generalization capabilities in predicting the motion characteristics of different dynamic models.
SCIENTIFIC REPORTS
(2022)
Article
Astronomy & Astrophysics
Raffaele Pascale, Carlo Nipoti, Luca Ciotti
Summary: This paper addresses the importance of chaotic orbits in stellar systems and their impact on the dynamical properties of the system, focusing on the existence of chaotic orbits in axisymmetric systems and proposing new definitions for the fractional contributions in mass. Through a case study in specific distribution functions, measurements were taken for the contributions of chaotic and resonantly trapped orbits in two axisymmetric stellar systems.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
(2022)
Article
Mathematics
Leonid A. Bunimovich, Yaofeng Su
Summary: This paper proves a large deviation principle of maximal-type for dynamical systems with arbitrarily slow polynomial mixing rates. Several applications, especially for billiard systems, are also presented.
ADVANCES IN MATHEMATICS
(2023)
Article
Physics, Fluids & Plasmas
Sebastian Rosmej, Mattes Heerwagen
Summary: This study explores the relation between classical and quantum mechanical description in nanoscopic systems using two two-dimensional billiard systems. Calculations of classical conditional probability density and quantum mechanical transition probability were conducted to lay the foundation for statistical analysis. The work distribution for one particle was also calculated, with particular interest in the controversial definition of mechanical work in small quantum systems. Analytical formulas and numerical results reveal interesting connections between quantum and classical cases.
Article
Astronomy & Astrophysics
Kenshin Isomura, Ryotaku Suzuki, Shinya Tomizawa
Summary: We investigate the bound orbits of massive/massless, neutral particles and photons moving around regular black holes of Fan and Wang. For massive particles, we show the existence of stable/unstable circular orbits and the charge dependence of the radius of the innermost stable circular orbit. Remarkably, we find an unstable circular orbit of photons inside the event horizon. For massless particles and photons, we show that both stable and unstable circular orbits can exist in a regular and horizonless spacetime with a slight overcharge. Then, we also discuss the periapsis shift of massive neutral particles orbiting around the black hole, and show that the charge gives a negative correction to the shift for black holes with small nonlinearity of electrodynamics.
Article
Mathematics, Interdisciplinary Applications
Alexander Belyaev, Irina Bashkirtseva, Lev Ryashko
Summary: The behavior of a metapopulation modeled by the Ricker map with two coupled subsystems is examined. The dynamics of the metapopulation changes with increasing migration intensity between subpopulations, resulting in various types of attractors. The impact of random disturbances on the metapopulation behavior, including noise-induced temporal stabilization of unstable equilibria, is studied both numerically and analytically.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Physics, Multidisciplinary
Shudi Yang, Tonghui Zhang, Ping Li
Summary: In this paper, a family of linear codes with at most five nonzero weights is constructed by choosing the defining sets from two distinct weakly regular plateaued balanced functions, based on a generic construction of linear codes. The minimality of these codes is also examined and the result shows their usefulness in secret sharing schemes.
Article
Mathematics, Applied
Bander Almutairi, Rukhshanda Anjum, Qin Xin, Muhammad Hassan
Summary: In this work, the concept of intuitionistic fuzzy k-ideals in the context of right k-weakly regular hemirings is examined. The properties of these ideals and their relationships with other concepts such as fuzzy prime k-ideals, intuitionistic fuzzy prime k-ideals, intuitionistic fuzzy right pure k-ideals, and purely prime intuitionistic fuzzy k-ideals in hemirings are investigated. The regularity of a k-weakly regular hemiring is also explored through its intuitionistic fuzzy k-ideals.
Article
Engineering, Environmental
Ruiqi Bao, Jingrun Pu, Chaolin Xie, Tariq Mehmood, Wei Chen, Liu Gao, Wenlu Lin, Yuanyuan Su, Xubing Lin, Licheng Peng
Summary: The use of biodegradable plastics has been promoted in recent years, but the production of microplastics from blended polymers is not well studied. This study investigated the characteristics of microplastics produced from blended plastics and the development of biofilms on plastic surfaces under long-term aging. The results showed significant production of microplastics from blended plastics and variation in bacterial communities attached to the plastics.
JOURNAL OF HAZARDOUS MATERIALS
(2022)
Article
Mathematics
Xinxin Qie, Quanbao Ji
Summary: This study investigated the stability and bifurcation of a nonlinear system model, finding that the system underwent two supercritical bifurcations and also observing saddle-node and torus bifurcations. Numerical simulations were carried out to validate the proposed approach.
Article
Optics
M. R. Lambert, Shan-Wen Tsai, Shane P. Kelly
Summary: We study the resonant coupling of a fully connected quantum spin model with a small environment of noninteracting spins and investigate the memory of initial state properties at long times. We find that certain properties of the initial state, in addition to total energy, can be remembered during the dynamics, even if they are not conserved. This memory effect occurs in a specific energy range, where an eigenstate quantum phase transition (ESQPT) takes place. The memory effect at that energy is robust to system-environment coupling until the coupling changes the energy of the ESQPT. This work reveals the independence of ESQPT memory on integrability and suggests that this mechanism may have a wider generality in preventing thermalization at ESQPTs.
Review
Chemistry, Multidisciplinary
Sai Chaitanya Chiliveri, Angus J. Robertson, Yang Shen, Dennis A. Torchia, Ad Bax
Summary: The measurement and application of residual dipolar couplings in solution NMR studies of biological macromolecules has been well established, offering precise information for understanding the impact of molecular flexibility on protein function. Despite its underutilization, recent developments have enabled accurate measurement of RDCs in larger systems, signaling a shift in focus towards gaining improved understanding of protein function.
Article
Materials Science, Multidisciplinary
Lukas Seemann, Angelika Knothe, Martina Hentschel
Summary: This study developed a trajectory-tracing algorithm that takes into account the electronic properties and confinement details of the material. It investigates the influence of bilayer graphene's dispersion on the dynamics of its charge carriers.
Article
Mathematics
Kanchan Jangra, Dinesh Udar
Summary: This paper introduces almost SWR rings as a generalization of abelian von Neumann local (VNL) rings and SWR rings. The properties and characterizations of almost SWR rings are provided, and various extension rings to be almost SWR are discussed. Furthermore, SWR group rings and almost SWR group rings are discussed.
TURKISH JOURNAL OF MATHEMATICS
(2022)
Article
Mathematics
Kanchan Jangra, Dinesh Udar
Summary: In this paper, we introduce the concept and properties of almost SWR rings, and discuss their relations with other rings. Furthermore, we explore extension rings and group rings related to almost SWR.
TURKISH JOURNAL OF MATHEMATICS
(2022)
