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Articles 181 - 210 of 827

Full-Text Articles in Physics

Numerical Design And Optimization Of Near-Infrared Band- Pass Filter, Hafiza Syeeda Faiza, Ghazi Aman Nowsherwan, Basem A. Abu Izneid, Muhammad Azhar, Saira Riaz, Syed Sajjad Hussain, Saira Ikram, Mohsin Khan, Shahzad Naseem, Mohammad Kanan, Ibrahim M. Mansour Jul 2023

Numerical Design And Optimization Of Near-Infrared Band- Pass Filter, Hafiza Syeeda Faiza, Ghazi Aman Nowsherwan, Basem A. Abu Izneid, Muhammad Azhar, Saira Riaz, Syed Sajjad Hussain, Saira Ikram, Mohsin Khan, Shahzad Naseem, Mohammad Kanan, Ibrahim M. Mansour

Applied Mathematics & Information Sciences

Band-pass filters functioning in the near-infrared (IR) range are desired for laser technology, multi-photon fluorescence, and IR imaging applications. In this study, we have designed four band-pass filters in the near Infrared spectrum (900-1200 nm) by vertically stacking different high and low-index materials. The band-pass filters are modelled by Essential Macleod software with different thicknesses. The layer’s thicknesses were optimized in such a way to provide the negligible reflectance and maximum transmission on the front side. All the simulated band-pass filters exhibit high transmittance, but TiO2/Al2O3 and Ta2O5/Al2O3 outperforms other modelled structure in terms of performance due to the better …


Modified Geometries, Clifford Algebras And Graphs: Their Impact On Discreteness, Locality And Symmetr, Roman Sverdlov Jul 2023

Modified Geometries, Clifford Algebras And Graphs: Their Impact On Discreteness, Locality And Symmetr, Roman Sverdlov

Mathematics & Statistics ETDs

In this dissertation I will explore the question whether various entities commonly used in quantum field theory can be “constructed". In particular, can spacetime be “constructed" out of building blocks, and can Berezin integral be “constructed" in terms of Riemann integrals.

As far as “constructing" spacetime out of building blocks, it has been attempted by multiple scientific communities and various models were proposed. But the common downfall is they break the principles of relativity. I will explore the ways of doing so in such a way that principles of relativity are respected. One of my approaches is to replace points …


Exploring High School Students' Concept Mastery Of Work And Energy Topics: A Quantitative Descriptive Study With Insights For Stem Learning, Maharani Karunia Putri, Parno Parno, Nuril Munfaridah, Marlina Ali Jun 2023

Exploring High School Students' Concept Mastery Of Work And Energy Topics: A Quantitative Descriptive Study With Insights For Stem Learning, Maharani Karunia Putri, Parno Parno, Nuril Munfaridah, Marlina Ali

Jurnal Pendidikan Sains

This quantitative descriptive study investigates the concept mastery of work and energy among high school students, specifically focusing on 105 students from the XI MIPA Laboratory UM High School. The research employs a concept mastery test, adapting Bloom's taxonomy indicators from C2 to C6, comprising 15 reasoned multiple-choice questions with a reliability value of 0.704. Student responses, categorized into No Response (NR), No Understanding (NU), Incorrect Understanding (IU), Partial Understanding (PU), and Sound Understanding (SU), reveal a prevalent mastery level in the category of Incorrect Understanding or partial comprehension of misconceptions. Specifically, NR, NU, IU, PU, and SU categories are …


Study Of Scientific Reasoning And Concept Mastery Of Students Through Guided Inquiry Learning Model Assisted By Formative Assessment, Selvina Visbad Saiya, Sentot Kusairi, Sunaryono Sunaryono Jun 2023

Study Of Scientific Reasoning And Concept Mastery Of Students Through Guided Inquiry Learning Model Assisted By Formative Assessment, Selvina Visbad Saiya, Sentot Kusairi, Sunaryono Sunaryono

Jurnal Pendidikan Sains

This study endeavors to assess the impact of guided inquiry learning, complemented by formative assessment, on students’ scientific reasoning (SR) and concept mastery (CM). The research involved 20 students from class XI A at SMA Muhammadiyah 02 Sumberpucung, utilizing questions adapted from the modified Lawson classroom test of scientific reasoning (MLCTSR) to measure SR, and the force concept inventory (FCI) to gauge CM. The instructional focus was Newton’s law of motion. Both qualitative and quantitative analyses were employed for data interpretation. The findings revealed a substantial influence of the guided inquiry learning model on SR, with a d-effect size value …


The Effect Of Online Discovery-Inquiry Learning On Improving Critical Thinking Ability And Concept Mastery In Temperature And Heat Materials, Fildzah Purvita Dewi, Lia Yuliati, Edi Supriana Jun 2023

The Effect Of Online Discovery-Inquiry Learning On Improving Critical Thinking Ability And Concept Mastery In Temperature And Heat Materials, Fildzah Purvita Dewi, Lia Yuliati, Edi Supriana

Jurnal Pendidikan Sains

The research endeavors to investigate the impact of implementing discovery-inquiry learning concerning the topic of temperature and heat on the enhancement of students’ critical thinking abilities and concept mastery. The study adopted a quasi-experimental design, employing a pretest-posttest control group framework. A cluster random sampling technique was applied to select the research sample, which comprised 36 students from class XI MIPA 3 (control group) and class XI MIPA 4 (experimental group) at SMA Negeri Rambipuji. The assessment instruments employed were two essay-shaped tests, specifically designed for evaluating critical thinking ability and concept mastery. Data analysis involved the utilization of independent …


Utilization Of Palm Waste Charcoal Briquettes (Abls) As Thematic-Based Integrated Science Learning Materials For Middle School Students, Sausan Fatin Nurazizah, Rendy Wikrama Wardana, Bhakti Karyadi, Henny Johan, Deni Parlindungan, Fitri Mulyani, Lasriani Lasriani Jun 2023

Utilization Of Palm Waste Charcoal Briquettes (Abls) As Thematic-Based Integrated Science Learning Materials For Middle School Students, Sausan Fatin Nurazizah, Rendy Wikrama Wardana, Bhakti Karyadi, Henny Johan, Deni Parlindungan, Fitri Mulyani, Lasriani Lasriani

Jurnal Pendidikan Sains

This investigation was conducted with the objective of evaluating the efficacy of ABLS ignition and formulating instructional materials for junior high school science education through the integration of e-booklets containing thematic-based science content. The research design employed herein adheres to the principles of experimentation and model development, falling under the category of Research and Development (R&D). The experimental cohort was stratified into three groups denoted as A1 (70% shell charcoal: 30% bunch charcoal), A2 (50% shell charcoal: 50% bunch charcoal), and A3 (30% shell charcoal: 70% bunch charcoal). The development of science learning materials was realized through integration with cobwebs, …


Exploring The Influence Of Online Inquiry Learning With E-Scaffolding Prompting Question On Problem-Solving Skills In The Work And Energy Topic For Islamic Senior High School Students, Arrika Wifqotu Lailin Nafisah, Supriyono Koes Handayanto, Sunaryono Sunaryono, Chokchai Yuenyong Jun 2023

Exploring The Influence Of Online Inquiry Learning With E-Scaffolding Prompting Question On Problem-Solving Skills In The Work And Energy Topic For Islamic Senior High School Students, Arrika Wifqotu Lailin Nafisah, Supriyono Koes Handayanto, Sunaryono Sunaryono, Chokchai Yuenyong

Jurnal Pendidikan Sains

This comprehensive investigation delves into the impact of integrating e-scaffolding prompting questions into online inquiry learning on students' problem-solving skills (PSS). With an explanatory design and a mixed-methods approach, the study focuses on XI-MIPA class students at MAN 1 Kediri City during the academic year 2022-2023. Utilizing meticulously crafted learning instruments, five problem-solving skills questions, and precise interview guidelines, the research employs triangulation through pre-tests, post-tests, and in- depth interviews. Quantitative data undergoes rigorous scrutiny via Analysis of Covariance (ANCOVA). The primary objective is to unveil the discernible influence of online inquiry learning complemented by e-scaffolding on the nuanced domain …


Topics On Asymmetric Classification, Subhrasish Chakraborty May 2023

Topics On Asymmetric Classification, Subhrasish Chakraborty

Dissertations

Asymmetric classification refers to a situation where the cost of misclassifying one class is significantly higher than the cost of misclassifying the other class. This problem is common in many real-world scenarios, such as medical diagnosis or fraud detection. In this dissertation two of the common types of asymmetric classification problems have been dealt with — imbalanced classification and ordinal classification. An example of imbalanced classification is to detect fraudulent credit card transactions where the distribution of the normal and fraud transactions are extremely skewed. On the other hand, ordinal classification, also known as ordinal regression, is widely used in …


Using Deep Neural Networks To Classify Astronomical Images, Andrew D. Macpherson May 2023

Using Deep Neural Networks To Classify Astronomical Images, Andrew D. Macpherson

Honors Projects

As the quantity of astronomical data available continues to exceed the resources available for analysis, recent advances in artificial intelligence encourage the development of automated classification tools. This paper lays out a framework for constructing a deep neural network capable of classifying individual astronomical images by describing techniques to extract and label these objects from large images.


Effective Non-Hermiticity And Topology In Markovian Quadratic Bosonic Dynamics, Vincent Paul Flynn May 2023

Effective Non-Hermiticity And Topology In Markovian Quadratic Bosonic Dynamics, Vincent Paul Flynn

Dartmouth College Ph.D Dissertations

Recently, there has been an explosion of interest in re-imagining many-body quantum phenomena beyond equilibrium. One such effort has extended the symmetry-protected topological (SPT) phase classification of non-interacting fermions to driven and dissipative settings, uncovering novel topological phenomena that are not known to exist in equilibrium which may have wide-ranging applications in quantum science. Similar physics in non-interacting bosonic systems has remained elusive. Even at equilibrium, an "effective non-Hermiticity" intrinsic to bosonic Hamiltonians poses theoretical challenges. While this non-Hermiticity has been acknowledged, its implications have not been explored in-depth. Beyond this dynamical peculiarity, major roadblocks have arisen in the search …


Photonic Sensors Based On Integrated Ring Resonators, Jaime Da Silva May 2023

Photonic Sensors Based On Integrated Ring Resonators, Jaime Da Silva

Mechanical Engineering Research Theses and Dissertations

This thesis investigates the application of integrated ring resonators to different sensing applications. The sensors proposed here rely on the principle of optical whispering gallery mode (WGM) resonance shifts of the resonators. Three distinct sensing applications are investigated to demonstrate the concept: a photonic seismometer, an evanescent field sensor, and a zero-drift Doppler velocimeter. These concepts can be helpful in developing lightweight, compact, and highly sensitive sensors. Successful implementation of these sensors could potentially address sensing requirements for both space and Earth-bound applications. The feasibility of this class of sensors is assessed for seismic, proximity, and vibrational measurements.


The Future Is Now In Twisted Coil Polymer Actuators (Tcpa), Ryan Ronquillo May 2023

The Future Is Now In Twisted Coil Polymer Actuators (Tcpa), Ryan Ronquillo

Electronic Theses and Dissertations

This thesis aimed to fabricate and test twisted coiled polymer actuators (TCPA) to understand the mechanical and thermal aspects of this artificial muscle fiber. The purpose of this thesis was to find a linear relationship using the LVDT sensor, fabricating TCPA fibers, and interpreting the data. The project tested whether nylon/polymer could be used as a better artificial muscle fiber.

This research accomplished three goals: (1) designing and fabricating a system capable of creating supercoiled muscle fibers consistently, (2) calibrating the Linear Variable Differential Transformer (LVDT) and Core, and (3) analyzing/interpreting the data of the Twisted Coiled Polymer Actuators (TCPA) …


Effects Of Factors On The Market Price Of The Shares Using Design Of Experiment, Amir Ahmad Dar, Mohammad Shahfaraz Khan, Imran Azad, Tanveer Ahmad Tarray, N. Anuradha, Qaiser Farroq Dar May 2023

Effects Of Factors On The Market Price Of The Shares Using Design Of Experiment, Amir Ahmad Dar, Mohammad Shahfaraz Khan, Imran Azad, Tanveer Ahmad Tarray, N. Anuradha, Qaiser Farroq Dar

Applied Mathematics & Information Sciences

When the cost of capital, dividends and the price of the share at the beginning is known, Modigliani and Miller’s model can be used to estimate the price of the share at the end of the period. A design of experiment (Taguchi’s orthogonal array) is used in order to investigate the impact of three parameters on the price of the share at the end of the period. The main aim of this research article is to find which parameter is more significant on the price of the share at the end of the period. Taguchi’s methodology of design of the …


Machine Learning-Based Data And Model Driven Bayesian Uncertanity Quantification Of Inverse Problems For Suspended Non-Structural System, Zhiyuan Qin May 2023

Machine Learning-Based Data And Model Driven Bayesian Uncertanity Quantification Of Inverse Problems For Suspended Non-Structural System, Zhiyuan Qin

All Dissertations

Inverse problems involve extracting the internal structure of a physical system from noisy measurement data. In many fields, the Bayesian inference is used to address the ill-conditioned nature of the inverse problem by incorporating prior information through an initial distribution. In the nonparametric Bayesian framework, surrogate models such as Gaussian Processes or Deep Neural Networks are used as flexible and effective probabilistic modeling tools to overcome the high-dimensional curse and reduce computational costs. In practical systems and computer models, uncertainties can be addressed through parameter calibration, sensitivity analysis, and uncertainty quantification, leading to improved reliability and robustness of decision and …


Volume 14, Ireland Seagle, Dalton C. Whitby, Cassandra Poole, Rachel Cannon, Heidi Parker-Combes, Devon G. Shifflett, Antonio Harvey Apr 2023

Volume 14, Ireland Seagle, Dalton C. Whitby, Cassandra Poole, Rachel Cannon, Heidi Parker-Combes, Devon G. Shifflett, Antonio Harvey

Incite: The Journal of Undergraduate Scholarship

Table of Contents:

  • Introduction: Dr. Amorette Barber
  • From the Editor: Dr. Larissa "Kat" Tracy
  • From the Designers: Rachel English, Rachel Hanson
  • Hungry Like the Wolf: The Wolf as Metaphor in Paramount Network’s Yellowstone: Ireland Seagle
  • “Floating Cities”: Illustrating the Commercial and Conservation Conflict of Alaskan Cruise Ship Tourism: Dalton C. Whitby
  • What Can You Do When Your Genes are the Enemy? Current Applications of Gene Manipulation and the Associated Ethical Considerations: Cassandra Poole
  • La doble cara: un tema romántico en las obras de Larra y Hawthorne: Rachel Cannon
  • Resolving a Conflict: How to …


Applying Hallgren’S Algorithm For Solving Pell’S Equation To Finding The Irrational Slope Of The Launch Of A Billiard Ball, Sangheon Choi Apr 2023

Applying Hallgren’S Algorithm For Solving Pell’S Equation To Finding The Irrational Slope Of The Launch Of A Billiard Ball, Sangheon Choi

Mathematical Sciences Technical Reports (MSTR)

This thesis is an exploration of Quantum Computing applied to Pell’s equation in an attempt to find solutions to the Billiard Ball Problem. Pell’s equation is a Diophantine equation in the form of x2 − ny2 = 1, where n is a given positive nonsquare integer, and integer solutions are sought for x and y. We will be applying Hallgren’s algorithm for finding irrational periods in functions, in the context of billiard balls and their movement on a friction-less unit square billiard table. Our central research question has been the following: Given the cutting sequence of the billiard …


Application Of The Recitation Method To Improve The Competence Of Medical Laboratory Technology Students In The Immunology Field, Patricia Gita Naully, Perdina Nursidika Mar 2023

Application Of The Recitation Method To Improve The Competence Of Medical Laboratory Technology Students In The Immunology Field, Patricia Gita Naully, Perdina Nursidika

Jurnal Pendidikan Sains

An accredited mid-level MLT (Medical Laboratory Technology) must have the competence to perform medical laboratory examinations from pre-analytic, analytic, and post-analytic stages in several fields, one of which is immunology. Many D3 MLT students are facing obstacles to passed the immunology course. This obstacle is not only experienced by students of D3 MLT but also by medical students, pharmacy students, and similar majors. The purpose of this research is to determine the effect of recitation method in the form of animation video making and immunology based device on the competence of Diploma 3 (D3) MLT students. This research is a …


Using Augmented Reality For Geometry Learning: Indonesian Elementary School Teachers' Experiences, Asep Nuryadin, Karlimah Karlimah, Dindin Abdul Muiz Lidinillah, Ika Fitri Apriani, Ikairn Rachmawati Putri, Lilis Susilawati, Ginna Islamiati, Dede Nurhidayah Mar 2023

Using Augmented Reality For Geometry Learning: Indonesian Elementary School Teachers' Experiences, Asep Nuryadin, Karlimah Karlimah, Dindin Abdul Muiz Lidinillah, Ika Fitri Apriani, Ikairn Rachmawati Putri, Lilis Susilawati, Ginna Islamiati, Dede Nurhidayah

Jurnal Pendidikan Sains

This study aims to discover Indonesian elementary school teachers' experiences (n = 257) of using Augmented Reality (AR) for learning, especially related to one of the topics in mathematics learning, namely, geometry. AR is considered to be an alternative instructional media that can be utilized for teaching geometry, including the topic of three-dimensional shapes. A questionnaire consisting of both close-ended and open-ended questions was used to collect data in this study. This study has successfully revealed teachers' use of digital instructional media during the COVID-19 pandemic, their familiarity with AR, frequency of AR use for geometry learning, and challenges in …


Epistemological Obstacles Of Students In Accomplishing Hots Tests According To Field-Dependent Cognitive Style, Widi Candika Pakaya, Fattah Hanurawan Mar 2023

Epistemological Obstacles Of Students In Accomplishing Hots Tests According To Field-Dependent Cognitive Style, Widi Candika Pakaya, Fattah Hanurawan

Jurnal Pendidikan Sains

The main goal of this study is to describe the epistemological obstacles faced by students with field-dependent cognitive styles when attempting to solve HOTS questions. This study uses a qualitative-descriptive methodology. The instruments used are cognitive style tests and HOTS questions. Data is collected through interviews and student work. The research subjects were two participants in third-semester PGSD students at Universitas Negeri Gorontalo. In this study, the data were analyzed by identifying the answers of two respondents to the indicators of epistemological barriers that had been done by the students and then interviewing the respondents. The results of this study …


Ecoliteracy Analysis And Science Teaching Materials: A Survey In Junior High Schools, Ghina Nisrina Ramadhanti, Indarini Dwi Pursitasari, Indriyani Rachman Mar 2023

Ecoliteracy Analysis And Science Teaching Materials: A Survey In Junior High Schools, Ghina Nisrina Ramadhanti, Indarini Dwi Pursitasari, Indriyani Rachman

Jurnal Pendidikan Sains

The study aims to analyze ecoliteracy and the teaching materials required for 21st century learning these days. The study employs the survey method by involving population of 104 junior high school students in grade VIII in Bogor City. The data are collected using ecoliteracy tests and interviews and analyzed using descriptive statistics techniques. The results showed that 48 students (46.15%) fall into the category of lacking ecoliteracy cognitive competence. The results of the questionnaire on the competence of attitudes, skills, and human relations with nature fall into the medium category. Therefore, in order to support the improvement of students’ ecoliteracy, …


The Influence Of The 5e Learning Cycle Strategy With A Link Map On Students' Mastery Of Physics Concepts And Science Process Skills, Dian Farida Rosanti, Markus Diantoro, Sentot Kusairi, Erni Yulianti Mar 2023

The Influence Of The 5e Learning Cycle Strategy With A Link Map On Students' Mastery Of Physics Concepts And Science Process Skills, Dian Farida Rosanti, Markus Diantoro, Sentot Kusairi, Erni Yulianti

Jurnal Pendidikan Sains

Link maps help students correlate interconcepts in order to facilitate students mastery of the concept learned. The researcher accompanied the link map in learning to find out its effect on concept mastery and students science process skills. This study used a quasi-experimental research design by providing a posttest only for the control group. The sample consisted of two classes, divided into an experimental class and a control class. The experimental class was taught using the 5E learning cycle strategy accompanied by a link map, and the control class was taught using the 5E learning cycle strategy only. The results of …


The Effect Of Damping By An Environment On Emergence Of Classicality, Paul Bracken Jan 2023

The Effect Of Damping By An Environment On Emergence Of Classicality, Paul Bracken

School of Mathematical & Statistical Sciences Faculty Publications

The role of dissipation with respect to a microscopic superposition of quantum states is investigated by means of master equations. This has implications for the study of the emergence of classicality from the quantum level. In particular, it illustrates why it is difficult to observe a macroscopic quantum state. The role of the environment is assumed by the measuring apparatus. A pure state is reduced to a mixture in the pointer basis of the system by means of the interaction with the apparatus. It is the intention that this type of analysis will have applications to experiments which are designed …


Algebraic Tunnelling, Gaurab Sedhain Jan 2023

Algebraic Tunnelling, Gaurab Sedhain

2023 REYES Proceedings

We study the quantum phenomenon of tunnelling in the framework of algebraic quantum theory, motivated by the tunnelling aspects of false vacuum decay. We see that resolvent C*-algebra, proposed relatively recently by Buchholz and Grundling rather than Weyl algebra provides an appropriate framework for treating the dynamics of non-free quantum mechanical system as an algebraic automorphism. At the end, we propose to investigate false vacuum decay in algebraic quantum field theoretic setting in terms of the two-point correlation function which gives us the tunneling probability, with the corresponding C*-algebraic construction.


The Lagrangian Formulation For Wave Motion With A Shear Current And Surface Tension, Conor Curtin, Rossen Ivanov Jan 2023

The Lagrangian Formulation For Wave Motion With A Shear Current And Surface Tension, Conor Curtin, Rossen Ivanov

Articles

The Lagrangian formulation for the irrotational wave motion is straightforward and follows from a Lagrangian functional which is the difference between the kinetic and the potential energy of the system. In the case of fluid with constant vorticity, which arises for example when a shear current is present, the separation of the energy into kinetic and potential is not at all obvious and neither is the Lagrangian formulation of the problem. Nevertheless, we use the known Hamiltonian formulation of the problem in this case to obtain the Lagrangian density function, and utilising the Euler-Lagrange equations we proceed to derive some …


The Computational Model Of Nanofluid Considering Heat Transfer And Entropy Generation Across A Curved And Fat Surface, Sayer Obaid Alharbi, Florentin Smarandache, Awatif M.A. Elsiddieg, Aisha M. Alqahtani, M. Riaz Khan, V. Puneeth, Nidhal Becheikh Jan 2023

The Computational Model Of Nanofluid Considering Heat Transfer And Entropy Generation Across A Curved And Fat Surface, Sayer Obaid Alharbi, Florentin Smarandache, Awatif M.A. Elsiddieg, Aisha M. Alqahtani, M. Riaz Khan, V. Puneeth, Nidhal Becheikh

Branch Mathematics and Statistics Faculty and Staff Publications

The entropy generation analysis for the nanofluid flowing over a stretching/shrinking curved region is performed in the existence of the cross-diffusion effect. The surface is also subjected to second-order velocity slip under the effect of mixed convection. The Joule heating that contributes significantly to the heat transfer properties of nanofluid is incorporated along with the heat source/sink. Furthermore, the flow is assumed to be governed by an exterior magnetic field that aids in gaining control over the flow speed. With these frameworks, the mathematical model that describes the flow with such characteristics and assumptions is framed using partial differential equations …


The Fluid Margin Between Physical Causal Closure And Non-Physical Causal Closure, Extended To The Neutrosophic Causal Closure Principle, Florentin Smarandache Jan 2023

The Fluid Margin Between Physical Causal Closure And Non-Physical Causal Closure, Extended To The Neutrosophic Causal Closure Principle, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

We plead for a fluid margin, or mixed/indeterminate buffer zone, between Physical and Non-Physical Causal Closures, and for a Neutrosophic Causal Closure Principle claiming that the chances of all physical effects are determined by their prior partially physical and partially non-physical causes.


Not Your Typical Tower Of Sauron, John Adam Jan 2023

Not Your Typical Tower Of Sauron, John Adam

Mathematics & Statistics Faculty Publications

The picture is of the tapering Chester Shot Tower, located in Chester, England. It was built in 1799 for the manufacture of lead shot for use in the Napoleonic Wars. Molten lead was poured through a sieve at the top of the tower, with the tiny droplets forming perfect spheres during the fall; these were then cooled in a vat of water at the base. This process was less labor intensive than an earlier method using molds. It is the oldest of the three remaining shot towers in the UK.

Question 1: Using the parked van at the base, estimate …


Machine-Assisted Discovery Of Integrable Symplectic Mappings, T. Zolkin, Y. Kharkov, S. Nagaitsev Jan 2023

Machine-Assisted Discovery Of Integrable Symplectic Mappings, T. Zolkin, Y. Kharkov, S. Nagaitsev

Physics Faculty Publications

We present a new automated method for finding integrable symplectic maps of the plane. These dynamical systems possess a hidden symmetry associated with an existence of conserved quantities, i.e., integrals of motion. The core idea of the algorithm is based on the knowledge that the evolution of an integrable system in the phase space is restricted to a lower-dimensional submanifold. Limiting ourselves to polygon invariants of motion, we analyze the shape of individual trajectories thus successfully distinguishing integrable motion from chaotic cases. For example, our method rediscovers some of the famous McMillan-Suris integrable mappings and ultradiscrete Painlevé equations. In total, …


Oscillating Icebergs, John Adam Jan 2023

Oscillating Icebergs, John Adam

Mathematics & Statistics Faculty Publications

No abstract provided.


Another Angle On Perspective, John Adam Jan 2023

Another Angle On Perspective, John Adam

Mathematics & Statistics Faculty Publications

No abstract provided.