University of New Mexico
Louisiana Tech University
Frostburg State University
University of Southern Mississippi
University of Lynchburg
Rose-Hulman Institute of Technology
University of North Florida
Marshall University
University of Pennsylvania
Gap Junctions And Synchronization Clusters In The Thalamic Reticular Nuclei,
2023
State University of New York at New Paltz
Gap Junctions And Synchronization Clusters In The Thalamic Reticular Nuclei, Anca R. Radulescu, Michael Anderson
Biology and Medicine Through Mathematics Conference
No abstract provided.
Computing Brain Networks With Complex Dynamics,
2023
State University of New York at New Paltz
Computing Brain Networks With Complex Dynamics, Anca R. Radulescu
Biology and Medicine Through Mathematics Conference
No abstract provided.
Time Evolution Is A Source Of Bias In The Wolf Algorithm For Largest Lyapunov Exponents,
2023
University of Nebraska at Omaha
Time Evolution Is A Source Of Bias In The Wolf Algorithm For Largest Lyapunov Exponents, Kolby Brink, Tyler Wiles, Nicholas Stergiou, Aaron Likens
UNO Student Research and Creative Activity Fair
Human movement is inherently variable by nature. One of the most common analytical tools for assessing movement variability is the largest Lyapunov exponent (LyE) which quantifies the rate of trajectory divergence or convergence in an n-dimensional state space. One popular method for assessing LyE is the Wolf algorithm. Many studies have investigated how Wolf’s calculation of the LyE changes due to sampling frequency, filtering, data normalization, and stride normalization. However, a surprisingly understudied parameter needed for LyE computation is evolution time. The purpose of this study is to investigate how the LyE changes as a function of evolution time …
Dynamical Aspects In (4+1)-Body Problems,
2023
Wilfrid Laurier University
Dynamical Aspects In (4+1)-Body Problems, Ryan Gauthier
Theses and Dissertations (Comprehensive)
The n-body problem models a system of n-point masses that attract each other via some binary interaction. The (n + 1)-body problem assumes that one of the masses is located at the origin of the coordinate system. For example, an (n+1)-body problem is an ideal model for Saturn, seen as the central mass, and one of its outer rings. A relative equilibrium (RE) is a special solution of the (n+1)-body problem where the non-central bodies rotate rigidly about the centre of mass. In rotating coordinates, these solutions become equilibria.
In this thesis we study dynamical aspects of planar (4 + …
On The Spatial Modelling Of Biological Invasions,
2022
The University of Western Ontario
On The Spatial Modelling Of Biological Invasions, Tedi Ramaj
Electronic Thesis and Dissertation Repository
We investigate problems of biological spatial invasion through the use of spatial modelling. We begin by examining the spread of an invasive weed plant species through a forest by developing a system of partial differential equations (PDEs) involving an invasive weed and a competing native plant species. We find that extinction of the native plant species may be achieved by increasing the carrying capacity of the forest as well as the competition coefficient between the species. We also find that the boundary conditions exert long-term control on the biomass of the invasive weed and hence should be considered when implementing …
Solving Clostridioides Difficile: Mathematical Models Of Transmission And Control In Healthcare Settings,
2022
Lewis University
Solving Clostridioides Difficile: Mathematical Models Of Transmission And Control In Healthcare Settings, Cara Sulyok, Max Lewis, Laila Mahrat, Brittany Stephenson, Malen De La Fuente Arruabarrena, David Kovalev, Justyna Sliwinska
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modularity And Boolean Network Decomposition,
2022
University of Florida
Modularity And Boolean Network Decomposition, Matthew Wheeler
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Canalization And Other Design Principles Of Gene Regulatory Networks,
2022
Illinois State University
Canalization And Other Design Principles Of Gene Regulatory Networks, Claus Kadelka
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Model-Free Identification Of Relevant Variables From Response Data,
2022
University of Dayton
Model-Free Identification Of Relevant Variables From Response Data, Alan Veliz-Cuba, David Murrugarra
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
On Analysis Of Effectiveness Controlling Covid-19 With Quarantine And Vaccination Compartments In Indonesia,
2022
Illinois State University
On Analysis Of Effectiveness Controlling Covid-19 With Quarantine And Vaccination Compartments In Indonesia, Prihantini Prihantini
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Compilación De Procesos Investigativos En Educación Matemática,
2022
Universidad de Cundinamarca
Compilación De Procesos Investigativos En Educación Matemática, Martha Lidia Barreto Moreno, Yeferson Castellanos Novoa, María Alejandra Mayorga Henao, Diana Marcela Contento Sarmiento, Jesús Antonio Villarraga Palomino, Andrés Alberto Gutiérrez Morales, Juan David Firigua Bejarano, Yineth Marleidy Parra Ubaque, Lady Johanna Silva Marín
Educación
En el libro Compilación de procesos de investigación en educación matemática, consta de cuatro capítulos donde se presentan los procesos desarrollados en el marco de proyectos de investigación a nivel de pregrado y postgrado en Educación.
El primer capítulo consiste en la sistematización de la acción docente desarrollada en el marco de los Talleres Itinerantes de Alfabetización Computacional en la provincia de Sumapaz, propuesta de innovación para implementar procesos didácticos que contribuyan al desarrollo del pensamiento matemático computacional en educación básica primaria rural.
El segundo capítulo contiene el proceso investigativo que dio continuidad al trabajo realizado en la Fase1, sobre …
Machine Learning To Predict Warhead Fragmentation In-Flight Behavior From Static Data,
2022
Embry-Riddle Aeronautical University
Machine Learning To Predict Warhead Fragmentation In-Flight Behavior From Static Data, Katharine Larsen
Doctoral Dissertations and Master's Theses
Accurate characterization of fragment fly-out properties from high-speed warhead detonations is essential for estimation of collateral damage and lethality for a given weapon. Real warhead dynamic detonation tests are rare, costly, and often unrealizable with current technology, leaving fragmentation experiments limited to static arena tests and numerical simulations. Stereoscopic imaging techniques can now provide static arena tests with time-dependent tracks of individual fragments, each with characteristics such as fragment IDs and their respective position vector. Simulation methods can account for the dynamic case but can exclude relevant dynamics experienced in real-life warhead detonations. This research leverages machine learning methodologies to …
On Cantor Sets Defined By Generalized Continued Fractions,
2022
College of the Canyons
On Cantor Sets Defined By Generalized Continued Fractions, Danielle Hedvig, Masha Gorodetski
Rose-Hulman Undergraduate Mathematics Journal
We study a special class of generalized continuous fractions, both in real and complex settings, and show that in many cases, the set of numbers that can be represented by a continued fraction for that class form a Cantor set. Specifically, we study generalized continued fractions with a fixed absolute value and a variable coefficient sign. We ask the same question in the complex setting, allowing the coefficient's argument to be a multiple of \pi/2. The numerical experiments we conducted showed that in these settings the set of numbers formed by such continued fractions is a Cantor set for large …
Dynamical Systems And Matching Symmetry In Beta-Expansions,
2022
California Polytechnic State University, San Luis Obispo
Dynamical Systems And Matching Symmetry In Beta-Expansions, Karl Zieber
Master's Theses
Symbolic dynamics, and in particular β-expansions, are a ubiquitous tool in studying more complicated dynamical systems. Applications include number theory, fractals, information theory, and data storage.
In this thesis we will explore the basics of dynamical systems with a special focus on topological dynamics. We then examine symbolic dynamics and β-transformations through the lens of sequence spaces. We discuss observations from recent literature about how matching (the property that the itinerary of 0 and 1 coincide after some number of iterations) is linked to when Tβ,⍺ generates a subshift of finite type. We prove the set of ⍺ in …
(R1882) Effects Of Viscosity, Oblateness, And Finite Straight Segment On The Stability Of The Equilibrium Points In The Rr3bp,
2022
Lady Shri Ram College for Women
(R1882) Effects Of Viscosity, Oblateness, And Finite Straight Segment On The Stability Of The Equilibrium Points In The Rr3bp, Bhavneet Kaur, Sumit Kumar, Rajiv Aggarwal
Applications and Applied Mathematics: An International Journal (AAM)
Associating the influences of viscosity and oblateness in the finite straight segment model of the Robe’s problem, the linear stability of the collinear and non-collinear equilibrium points for a small solid sphere m3 of density \rho3 are analyzed. This small solid sphere is moving inside the first primary m1 whose hydrostatic equilibrium figure is an oblate spheroid and it consists of an incompressible homogeneous fluid of density \rho1. The second primary m2 is a finite straight segment of length 2l. The existence of the equilibrium points is discussed after deriving the pertinent …
Universality And Synchronization In Complex Quadratic Networks (Cqns),
2022
State University of New York at New Paltz
Universality And Synchronization In Complex Quadratic Networks (Cqns), Anca R. Radulescu, Danae Evans
Biology and Medicine Through Mathematics Conference
No abstract provided.
Gene Drives And The Consequences Of Over-Suppression,
2022
Virginia Commonwealth University
Gene Drives And The Consequences Of Over-Suppression, Cole Butler
Biology and Medicine Through Mathematics Conference
No abstract provided.
Real-Time Interactive Simulation Of Large Bird Flocks: Toward Understanding Murmurations,
2022
Georgia Institute of Technology
Real-Time Interactive Simulation Of Large Bird Flocks: Toward Understanding Murmurations, Maxfield R. Comstock
Biology and Medicine Through Mathematics Conference
No abstract provided.
Dimension Theory Of Conformal Iterated Function Systems,
2022
University of Connecticut
Dimension Theory Of Conformal Iterated Function Systems, Sharon Sneha Spaulding
Honors Scholar Theses
This thesis is an expository investigation of the conformal iterated function system (CIFS) approach to fractals and their dimension theory. Conformal maps distort regions, subject to certain constraints, in a controlled way. Let $\mathcal{S} = (X, E, \{\phi_e\}_{e \in E})$ be an iterated function system where $X$ is a compact metric space, $E$ is a countable index set, and $\{\phi_e\}_{e \in E}$ is a family of injective and uniformly contracting maps. If the family of maps $\{\phi_e\}_{e \in E}$ is also conformal and satisfies the open set condition, then the distortion properties of conformal maps can be extended to the …
The Butterfly Effect Of Fractals,
2022
Murray State University
The Butterfly Effect Of Fractals, Cody Watkins
Honors College Theses
This thesis applies concepts in fractal geometry to the relatively new field of mathematics known as chaos theory, with emphasis on the underlying foundation of the field: the butterfly effect. We begin by reviewing concepts useful for an introduction to chaos theory by defining terms such as fractals, transformations, affine transformations, and contraction mappings, as well as proving and demonstrating the contraction mapping theorem. We also show that each fractal produced by the contraction mapping theorem is unique in its fractal dimension, another term we define. We then show and demonstrate iterated function systems and take a closer look at …
