Nonlinear Harmonic Modes Of Steel Strings On An Electric Guitar, 2016 Linfield College
Nonlinear Harmonic Modes Of Steel Strings On An Electric Guitar, Joel Wenrich
Senior Theses
Steel strings used on electric and acoustic guitars are non-ideal oscillators that can produce imperfect intonation. According to theory, this intonation should be a function of the bending stiffness of the string, which is related to the dimensions of length and thickness of the string. To test this theory, solid steel strings of three different linear densities were analyzed using an oscilloscope and a Fast Fourier Transform function. We found that strings exhibited more drastic nonlinear harmonic behavior as their effective length was shortened and as linear density increased.
Determinants Of The Efficacy Of Hiv Latency Reversing Agents And Implications For Drug And Treatment Design, 2016 North Carolina State University at Raleigh
Determinants Of The Efficacy Of Hiv Latency Reversing Agents And Implications For Drug And Treatment Design, Ruian Ke
Biology and Medicine Through Mathematics Conference
No abstract provided.
Using Mathematical Modeling To Unmask The Concealed Nature Of Long Qt-3 Syndrome, 2016 Virginia Tech
Using Mathematical Modeling To Unmask The Concealed Nature Of Long Qt-3 Syndrome, Steven Poelzing, Amara Greer-Short, Seth H. Weinberg
Biology and Medicine Through Mathematics Conference
No abstract provided.
Anticipating Elimination Of Mosquito-Borne Diseases, 2016 National Institute of Mathematical and Biological Synthesis (NIMBioS)
Anticipating Elimination Of Mosquito-Borne Diseases, Suzanne M. O'Regan, Jonathan Lillie, John M. Drake
Biology and Medicine Through Mathematics Conference
No abstract provided.
Toward Adaptive Control Of Acute Inflammation, 2016 The University of Tennessee, Knoxville
Toward Adaptive Control Of Acute Inflammation, Judy D. Day, Seddik M. Djouadi, Ouassim Bara, Gregory L. Zitelli
Biology and Medicine Through Mathematics Conference
No abstract provided.
Dynamics Of Discrete Planar Systems That Model Stage-Structured Populations, 2016 Virginia Commonwealth University
Dynamics Of Discrete Planar Systems That Model Stage-Structured Populations, Shushan Lazaryan, Hassan Sedaghat
Biology and Medicine Through Mathematics Conference
No abstract provided.
Low Energy Defibrillation By Synchronization; 90 % Less Energy Compared To One Shock., 2016 Georgia Institute of Technology
Low Energy Defibrillation By Synchronization; 90 % Less Energy Compared To One Shock., Flavio H. Fenton, Yanyan Ji, Ilija Uzelac, Niels Otani, Elizabeth M. Cherry
Biology and Medicine Through Mathematics Conference
No abstract provided.
General Models For Ecological Drivers Of Poverty, 2016 Harvard Medical School
General Models For Ecological Drivers Of Poverty, Calistus Ngeh Ngonghala
Biology and Medicine Through Mathematics Conference
No abstract provided.
Wilson-Cowan Coupled Dynamics In A Model Of The Cortico-Striato-Thalamo-Cortical Circuit, 2016 State University of New York at New Paltz
Wilson-Cowan Coupled Dynamics In A Model Of The Cortico-Striato-Thalamo-Cortical Circuit, Anca R. Radulescu
Biology and Medicine Through Mathematics Conference
No abstract provided.
Robust Traveling Waves In Chains Of Simple Neural Oscillators, 2016 The Cooper Union for the Advancement of Science and Art
Robust Traveling Waves In Chains Of Simple Neural Oscillators, Stanislav M. Mintchev
Biology and Medicine Through Mathematics Conference
No abstract provided.
Mathematical Modeling Of Quadcopter Dynamics, 2016 Rose-Hulman Institute of Technology
Mathematical Modeling Of Quadcopter Dynamics, Qikai Huang (Bruce Wingo)
Rose-Hulman Undergraduate Research Publications
Recently, Google, Amazon and others are attempting to develop delivery drones for commercial use, in particular Amazon Prime Air promising 30 minute delivery. One type of commonly used drone proposed for such purposes is a quadcopter. Quadcopters have been around for some time with original development in the 1920’s. They are popular now because they are mechanically simple and provide a good vehicle for unmanned flight. By controlling the speed of the four propellers, a quadcopter can roll, change pitch, change yaw, and accelerate. This research will focus on the study of classical mechanics theories on rigid body motion using …
On The Flow Of Non-Axisymmetric Perturbations Of Cylinders Via Surface Diffusion, 2016 University of Richmond
On The Flow Of Non-Axisymmetric Perturbations Of Cylinders Via Surface Diffusion, Jeremy Lecrone, Gieri Simonett
Department of Math & Statistics Faculty Publications
We study the surface diffusion flow acting on a class of general (non--axisymmetric) perturbations of cylinders Cr in IR3. Using tools from parabolic theory on uniformly regular manifolds, and maximal regularity, we establish existence and uniqueness of solutions to surface diffusion flow starting from (spatially--unbounded) surfaces defined over Cr via scalar height functions which are uniformly bounded away from the central cylindrical axis. Additionally, we show that Cr is normally stable with respect to 2π--axially--periodic perturbations if the radius r>1,and unstable if 0
Study Of Infectious Diseases By Mathematical Models: Predictions And Controls, 2016 The University of Western Ontario
Study Of Infectious Diseases By Mathematical Models: Predictions And Controls, Sm Ashrafur Rahman
Electronic Thesis and Dissertation Repository
The aim of this thesis is to understand the spread, persistence and prevention mechanisms of infectious diseases by mathematical models. Microorganisms that rapidly evolve pose a constant threat to public health. Proper understanding of the transmission machinery of these existing and new pathogens may facilitate devising prevention tools. Prevention tools against transmissions, including vaccines and drugs, are evolving at a similar pace. Efficient implementation of these new tools is a fundamental issue of public health. We primarily focus on this issue and explore some theoretical frameworks.
Pre-exposure prophylaxis (PrEP) is considered one of the promising interventions against HIV infection as …
Procesy Cieplne I Aparaty (Lab), 2016 Wroclaw University of Technology
Inżynieria Chemiczna Lab., 2016 Wroclaw University of Technology
Models Of Internal Waves In The Presence Of Currents, 2016 Technological University Dublin
Models Of Internal Waves In The Presence Of Currents, Alan Compelli, Rossen Ivanov
Conference papers
A fluid system consisting of two domains is examined. The system is considered as being bounded at the bottom and top by a flatbed and wave-free surface respectively. An internal wave propagating in one direction, driven by gravity, acts as a free common interface between the fluids. Various current profiles are considered. The Hamiltonian of the system is determined and expressed in terms of canonical wave-related variables. Limiting behaviour is examined and compared to that of other known models. The linearised equations as well as long-wave approximations are formulated. The presented models provide potential applications to modelling of internal geophysical …
A Study Of The Effect Of Harvesting On A Discrete System With Two Competing Species, 2016 Virginia Commonwealth University
A Study Of The Effect Of Harvesting On A Discrete System With Two Competing Species, Rebecca G. Clark
Theses and Dissertations
This is a study of the effect of harvesting on a system with two competing species. The system is a Ricker-type model that extends the work done by Luis, Elaydi, and Oliveira to include the effect of harvesting on the system. We look at the uniform bound of the system as well as the isoclines and perform a stability analysis of the equilibrium points. We also look at the effects of harvesting on the stability of the system by looking at the bifurcation of the system with respect to harvesting.
Topological Data Analysis For Systems Of Coupled Oscillators, 2016 Harvey Mudd College
Topological Data Analysis For Systems Of Coupled Oscillators, Alec Dunton
HMC Senior Theses
Coupled oscillators, such as groups of fireflies or clusters of neurons, are found throughout nature and are frequently modeled in the applied mathematics literature. Earlier work by Kuramoto, Strogatz, and others has led to a deep understanding of the emergent behavior of systems of such oscillators using traditional dynamical systems methods. In this project we outline the application of techniques from topological data analysis to understanding the dynamics of systems of coupled oscillators. This includes the examination of partitions, partial synchronization, and attractors. By looking for clustering in a data space consisting of the phase change of oscillators over a …
Hamiltonian Formulation For Wave-Current Interactions In Stratified Rotational Flows, 2016 University of Vienna
Hamiltonian Formulation For Wave-Current Interactions In Stratified Rotational Flows, Adrian Constantin, Rossen Ivanov, Calin-Iulian Martin
Articles
We show that the Hamiltonian framework permits an elegant formulation of the nonlinear governing equations for the coupling between internal and surface waves in stratified water flows with piecewise constant vorticity.
The Dynamics Of Flat Surface Internal Geophysical Waves With Currents, 2016 Technological University Dublin
The Dynamics Of Flat Surface Internal Geophysical Waves With Currents, Alan Compelli, Rossen Ivanov
Articles
A two-dimensional water wave system is examined consisting of two discrete incompressible fluid domains separated by a free common interface. In a geophysical context this is a model of an internal wave, formed at a pycnocline or thermocline in the ocean. The system is considered as being bounded at the bottom and top by a flatbed and wave-free surface respectively. A current profile with depth-dependent currents in each domain is considered. The Hamiltonian of the system is determined and expressed in terms of canonical wave-related variables. Limiting behavior is examined and compared to that of other known models. The linearised …