The University of Southern Mississippi
California Polytechnic State University - San Luis Obispo
Rose-Hulman Institute of Technology
Marshall University
University of Pennsylvania
University of Nebraska-Lincoln
The Graduate Center, City University of New York
College of William and Mary
Physical Applications Of The Geometric Minimum Action Method,
2018
The Graduate Center, City University of New York
Physical Applications Of The Geometric Minimum Action Method, George L. Poppe Jr.
All Dissertations, Theses, and Capstone Projects
This thesis extends the landscape of rare events problems solved on stochastic systems by means of the \textit{geometric minimum action method} (gMAM). These include partial differential equations (PDEs) such as the real Ginzburg-Landau equation (RGLE), the linear Schroedinger equation, along with various forms of the nonlinear Schroedinger equation (NLSE) including an application towards an ultra-short pulse mode-locked laser system (MLL).
Additionally we develop analytical tools that can be used alongside numerics to validate those solutions. This includes the use of instanton methods in deriving state transitions for the linear Schroedinger equation and the cubic diffusive NLSE.
These analytical solutions ...
Iterative Methods To Solve Systems Of Nonlinear Algebraic Equations,
2018
Western Kentucky University
Iterative Methods To Solve Systems Of Nonlinear Algebraic Equations, Md Shafiful Alam
Masters Theses & Specialist Projects
Iterative methods have been a very important area of study in numerical analysis since the inception of computational science. Their use ranges from solving algebraic equations to systems of differential equations and many more. In this thesis, we discuss several iterative methods, however our main focus is Newton's method. We present a detailed study of Newton's method, its order of convergence and the asymptotic error constant when solving problems of various types as well as analyze several pitfalls, which can affect convergence. We also pose some necessary and sufficient conditions on the function f for higher order of ...
P-46 A Periodic Matrix Model Of Seabird Behavior And Population Dynamics,
2018
Andrews University
P-46 A Periodic Matrix Model Of Seabird Behavior And Population Dynamics, Mykhaylo M. Malakhov, Benjamin Macdonald, Shandelle M. Henson, J. M. Cushing
Honors Scholars & Undergraduate Research Poster Symposium Programs
Rising sea surface temperatures (SSTs) in the Pacific Northwest lead to food resource reductions for surface-feeding seabirds, and have been correlated with several marked behavioral changes. Namely, higher SSTs are associated with increased egg cannibalism and egg-laying synchrony in the colony. We study the long-term effects of climate change on population dynamics and survival by considering a simplified, cross-season model that incorporates both of these behaviors in addition to density-dependent and environmental effects. We show that cannibalism can lead to backward bifurcations and strong Allee effects, allowing the population to survive at lower resource levels than would be possible otherwise.
Learning And Control Using Gaussian Processes,
2018
University of Pennsylvania
Learning And Control Using Gaussian Processes, Achin Jain, Truong X Nghiem, Manfred Morari, Rahul Mangharam
Real-Time and Embedded Systems Lab (mLAB)
Building physics-based models of complex physical systems like buildings and chemical plants is extremely cost and time prohibitive for applications such as real-time optimal control, production planning and supply chain logistics. Machine learning algorithms can reduce this cost and time complexity, and are, consequently, more scalable for large-scale physical systems. However, there are many practical challenges that must be addressed before employing machine learning for closed-loop control. This paper proposes the use of Gaussian Processes (GP) for learning control-oriented models: (1) We develop methods for the optimal experiment design (OED) of functional tests to learn models of a physical system ...
Extensions Of The Morse-Hedlund Theorem,
2018
Bucknell University
Extensions Of The Morse-Hedlund Theorem, Eben Blaisdell
Honors Theses
Bi-infinite words are sequences of characters that are infinite forwards and backwards; for example "...ababababab...". The Morse-Hedlund theorem says that a bi-infinite word f repeats itself, in at most n letters, if and only if the number of distinct subwords of length n is at most n. Using the example, "...ababababab...", there are 2 subwords of length 3, namely "aba" and "bab". Since 2 is less than 3, we must have that "...ababababab..." repeats itself after at most 3 letters. In fact it does repeat itself every two letters. Interestingly, there are many extensions of this theorem to multiple dimensions ...
Call For Abstracts - Resrb 2018, June 18-20, Brussels, Belgium,
2017
Wojciech Budzianowski Consulting Services
Call For Abstracts - Resrb 2018, June 18-20, Brussels, Belgium, Wojciech M. Budzianowski
Wojciech Budzianowski
No abstract provided.
Distributed Evolution Of Spiking Neuron Models On Apache Mahout For Time Series Analysis,
2017
Cylance, Inc.
Distributed Evolution Of Spiking Neuron Models On Apache Mahout For Time Series Analysis, Andrew Palumbo
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
An Improved Pairwise- Approximation Technique For Studying The Dynamics Of A Probabilistic, Two- State Lattice Model Of Intracellular Cardiac Calcium,
2017
Loyola Marymount University
An Improved Pairwise- Approximation Technique For Studying The Dynamics Of A Probabilistic, Two- State Lattice Model Of Intracellular Cardiac Calcium, Robert J. Rovetti
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
Mathematical Modeling Of Inhibitory Effects On Chemically Coupled Neurons,
2017
Illinois State University
Mathematical Modeling Of Inhibitory Effects On Chemically Coupled Neurons, Nathhaniel Harraman, Epaminondas Rosa
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
Temperature Effects On Neuronal Tonic-To-Bursting Transitions,
2017
Illinois State University
Temperature Effects On Neuronal Tonic-To-Bursting Transitions, Manuela Burek, Epaminondas Rosa
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
A Brief History Of Neuroscience,
2017
Illinois State University
A Brief History Of Neuroscience, Zachary Mobille, Epaminondas Rosa
Annual Symposium on Biomathematics and Ecology: Education and Research
No abstract provided.
Asymptotic Counting Formulas For Markoff-Hurwitz Tuples,
2017
The Graduate Center, City University of New York
Asymptotic Counting Formulas For Markoff-Hurwitz Tuples, Ryan Ronan
All Dissertations, Theses, and Capstone Projects
The Markoff equation is a Diophantine equation in 3 variables first studied in Markoff's celebrated work on indefinite binary quadratic forms. We study the growth of solutions to an n variable generalization of the Markoff equation, which we refer to as the Markoff-Hurwitz equation. We prove explicit asymptotic formulas counting solutions to this generalized equation with and without a congruence restriction. After normalizing and linearizing the equation, we show that all but finitely many solutions appear in the orbit of a certain semigroup of maps acting on finitely many root solutions. We then pass to an accelerated subsemigroup of ...
Morphogenesis And Growth Driven By Selection Of Dynamical Properties,
2017
The Graduate Center, City University of New York
Morphogenesis And Growth Driven By Selection Of Dynamical Properties, Yuri Cantor
All Dissertations, Theses, and Capstone Projects
Organisms are understood to be complex adaptive systems that evolved to thrive in hostile environments. Though widely studied, the phenomena of organism development and growth, and their relationship to organism dynamics is not well understood. Indeed, the large number of components, their interconnectivity, and complex system interactions all obscure our ability to see, describe, and understand the functioning of biological organisms.
Here we take a synthetic and computational approach to the problem, abstracting the organism as a cellular automaton. Such systems are discrete digital models of real-world environments, making them more accessible and easier to study then their physical world ...
A Real Options Approach To Criminal Careers,
2017
FURG and PPGOM/UFPel
A Real Options Approach To Criminal Careers, Cristiano Aguiar De Oliveira, Giácomo Balbinotto Neto
The Latin American and Iberian Journal of Law and Economics
This paper proposes a dynamic model based on real options to evaluate the criminal career. In the model, individuals can choose the best moment to engage in crime (illegal activity). The model proposed allows the evaluation of the impact of different risk preferences, punishment probability, punishment severity and, mainly time discount in the individual’s decision. Through model calibration it is possible to observe that the option for a criminal career depends on a high return in the illegal activity even when individuals are risk neutral and when they have a low time discount. The paper also discusses youth participation ...
Modeling Economic Systems As Locally-Constructive Sequential Games,
2017
Iowa State University
Modeling Economic Systems As Locally-Constructive Sequential Games, Leigh Tesfatsion
Economics Working Papers
Real-world economies are open-ended dynamic systems consisting of heterogeneous interacting participants. Human participants are decision-makers who strategically take into account the past actions and potential future actions of other participants. All participants are forced to be locally constructive, meaning their actions at any given time must be based on their local states; and participant actions at any given time affect future local states. Taken together, these properties imply real-world economies are locally-constructive sequential games. This study discusses a modeling approach, agent-based computational economics (ACE), that permits researchers to study economic systems from this point of view. ACE modeling principles and ...
On The Analysis Of The Sir Epidemic Model For Small Networks: An Application In Hospital Settings,
2017
University of Leeds
On The Analysis Of The Sir Epidemic Model For Small Networks: An Application In Hospital Settings, Martin Lopez-Garcia
Biology and Medicine Through Mathematics Conference
No abstract provided.
Balanced Excitation And Inhibition Shapes The Dynamics Of A Neuronal Network For Movement And Reward,
2017
State University of New York at New Paltz
Balanced Excitation And Inhibition Shapes The Dynamics Of A Neuronal Network For Movement And Reward, Anca R. Radulescu
Biology and Medicine Through Mathematics Conference
No abstract provided.
Models Of Nation-Building Via Systems Of Differential Equations,
2017
Cedarville University
Models Of Nation-Building Via Systems Of Differential Equations, Carissa F. Slone, Darryl K. Ahner, Mark E. Oxley, William P. Baker
The Research and Scholarship Symposium
Nation-building modeling is an important field of research given the increasing number of candidate nations and the limited resources available. A modeling methodology and a system of differential equations model are presented to investigate the dynamics of nation-building. The methodology is based upon parameter identification techniques applied to a system of differential equations, to evaluate nation-building operations. Data from Operation Iraqi Freedom (OIF) and Afghanistan are used to demonstrate the validity of different models as well as the comparison of models.
Generalized Thomas-Fermi Equations As The Lampariello Class Of Emden-Fowler Equations,
2017
IPICYT, Instituto Potosino de Investigacion Cientifica y Tecnologica
Generalized Thomas-Fermi Equations As The Lampariello Class Of Emden-Fowler Equations, Haret C. Rosu, Stefan C. Mancas
Publications
A one-parameter family of Emden-Fowler equations defined by Lampariello’s parameter p which, upon using Thomas-Fermi boundary conditions, turns into a set of generalized Thomas-Fermi equations comprising the standard Thomas-Fermi equation for p = 1 is studied in this paper. The entire family is shown to be non integrable by reduction to the corresponding Abel equations whose invariants do not satisfy a known integrability condition. We also discuss the equivalent dynamical system of equations for the standard Thomas-Fermi equation and perform its phase-plane analysis. The results of the latter analysis are similar for the whole class.
Zero Forcing, Linear And Quantum Controllability For Systems Evolving On Networks,
2017
Aberystwyth University
Zero Forcing, Linear And Quantum Controllability For Systems Evolving On Networks, Daniel Burgarth, Domenico D'Alessandro, Leslie Hogben, Simone Severini, Michael Young
Leslie Hogben
We study the dynamics of systems on networks from a linear algebraic perspective. The control theoretic concept of controllability describes the set of states that can be reached for these systems. Our main result says that controllability in the quantum sense, expressed by the Lie algebra rank condition, and controllability in the sense of linear systems, expressed by the controllability matrix rank condition, are equivalent conditions. We also investigate how the graph theoretic concept of a zero forcing set impacts the controllability property; if a set of vertices is a zero forcing set, the associated dynamical system is controllable. These ...
