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335 full-text articles. Page 1 of 12.

Noisy Neural Oscillators With Intrinsic And Network Heterogeneity, Kyle P. Wendling, Cheng Ly 2017 Virginia Commonwealth University

Noisy Neural Oscillators With Intrinsic And Network Heterogeneity, Kyle P. Wendling, Cheng Ly

Biology and Medicine Through Mathematics Conference

No abstract provided.


Application Of Symplectic Integration On A Dynamical System, William Frazier 2017 East Tennessee State University

Application Of Symplectic Integration On A Dynamical System, William Frazier

Electronic Theses and Dissertations

Molecular Dynamics (MD) is the numerical simulation of a large system of interacting molecules, and one of the key components of a MD simulation is the numerical estimation of the solutions to a system of nonlinear differential equations. Such systems are very sensitive to discretization and round-off error, and correspondingly, standard techniques such as Runge-Kutta methods can lead to poor results. However, MD systems are conservative, which means that we can use Hamiltonian mechanics and symplectic transformations (also known as canonical transformations) in analyzing and approximating solutions. This is standard in MD applications, leading to numerical techniques known as symplectic ...


Hawking Radiation And Classical Tunneling: A Numerical Study, Dmitriy Zhigunov 2017 College of William and Mary

Hawking Radiation And Classical Tunneling: A Numerical Study, Dmitriy Zhigunov

Undergraduate Honors Theses

Unruh [1] demonstrated that black holes have an analogy in acoustics. Under this analogy the acoustic event horizon is defined by the set of points in which the local background flow exceeds the local sound speed. In past work [2], we demonstrated that under a white noise source, the acoustic event horizon will radiate at a thermal spectrum via a classical tunneling process. In this work, I summarize the theory presented in [2] and nondimensionalize it in order to reduce the dynamical equations to one parameter, the coupling coefficient η2. Since η2 is the sole parameter of the system, we ...


Plateau Potential Fluctuations And Intrinsic Membrane Noise, Daniel Scott Borrus 2017 College of William and Mary

Plateau Potential Fluctuations And Intrinsic Membrane Noise, Daniel Scott Borrus

Undergraduate Honors Theses

This thesis focuses on subthreshold membrane potential fluctuations in the plateau potentials of bistable neurons. Research involved with plateau potentials typically finds one of the resting membrane potentials to be more susceptible to voltage fluctuations. This difference in the amplitude of the membrane potential fluctuations is most often attributed to the voltage-dependent membrane conductance. Occasionally, however, the typically quieter resting membrane potential exhibits larger voltage fluctuations than the expected one. It has been proposed that this increased membrane potential noise is the result of the stochastic gating of the voltage-gated ion channels. In this thesis, we use a simple bistable ...


Comparing Methods Of Measuring Chaos In The Symbolic Dynamics Of Strange Attractors, James J. Scully 2017 Georgia State University

Comparing Methods Of Measuring Chaos In The Symbolic Dynamics Of Strange Attractors, James J. Scully

Georgia State Undergraduate Research Conference

No abstract provided.


A Study Of The Reduction Of Excessive Energy Generated By Strong Winds On Power Lines Via A Velocity Damping Controller At The Transmission Tower, Donald W. Fincher Jr. 2017 Kent State University - Kent Campus

A Study Of The Reduction Of Excessive Energy Generated By Strong Winds On Power Lines Via A Velocity Damping Controller At The Transmission Tower, Donald W. Fincher Jr.

Undergraduate Research Symposium

In this research, we are pursuing the robustness of a self-excited vibrational system with negative damping. In practice, this is manifested as conductor galloping of overhead power lines, which is an oscillation of the lines caused by strong winds. Improved transmission tower designs are needed which are capable of combating excessive stresses exerted on the tower by the galloping power lines. Our model of this self-excited system shows that the oscillations can be controlled by adding a boundary velocity feedback controller at the transmission tower. Using a decomposition method, we show there is a closed form analytical solution which predicts ...


P26. Global Exponential Stabilization On So(3), Soulaimane Berkane 2017 sberkane@uwo.ca

P26. Global Exponential Stabilization On So(3), Soulaimane Berkane

Western Research Forum

Global Exponential Stabilization on SO(3)


A Physics-Based Approach To Modeling Wildland Fire Spread Through Porous Fuel Beds, Tingting Tang 2017 University of Kentucky

A Physics-Based Approach To Modeling Wildland Fire Spread Through Porous Fuel Beds, Tingting Tang

Theses and Dissertations--Mechanical Engineering

Wildfires are becoming increasingly erratic nowadays at least in part because of climate change. CFD (computational fluid dynamics)-based models with the potential of simulating extreme behaviors are gaining increasing attention as a means to predict such behavior in order to aid firefighting efforts. This dissertation describes a wildfire model based on the current understanding of wildfire physics. The model includes physics of turbulence, inhomogeneous porous fuel beds, heat release, ignition, and firebrands. A discrete dynamical system for flow in porous media is derived and incorporated into the subgrid-scale model for synthetic-velocity large-eddy simulation (LES), and a general porosity-permeability model ...


Dynamics Of Gene Networks In Cancer Research, Paul Scott 2017 Georgia Southern University

Dynamics Of Gene Networks In Cancer Research, Paul Scott

Electronic Theses & Dissertations

Cancer prevention treatments are being researched to see if an optimized treatment schedule would decrease the likelihood of a person being diagnosed with cancer. To do this we are looking at genes involved in the cell cycle and how they interact with one another. Through each gene expression during the life of a normal cell we get an understanding of the gene interactions and test these against those of a cancerous cell. First we construct a simplified network model of the normal gene network. Once we have this model we translate it into a transition matrix and force changes on ...


Proceedings Of The 2nd Resrb 2017 Conference, June 19-21, Wrocław, Poland, Wojciech M. Budzianowski 2016 Wroclaw University of Technology

Proceedings Of The 2nd Resrb 2017 Conference, June 19-21, Wrocław, Poland, Wojciech M. Budzianowski

Wojciech Budzianowski

No abstract provided.


Call For Abstracts - Resrb 2018, June 18-20, Brussels, Belgium, Wojciech M. Budzianowski 2016 Wroclaw University of Technology

Call For Abstracts - Resrb 2018, June 18-20, Brussels, Belgium, Wojciech M. Budzianowski

Wojciech Budzianowski

No abstract provided.


Order Form Resrb 2018, Wojciech M. Budzianowski 2016 Wroclaw University of Technology

Order Form Resrb 2018, Wojciech M. Budzianowski

Wojciech Budzianowski

No abstract provided.


Abstract Template Resrb 2018, Wojciech M. Budzianowski 2016 Wroclaw University of Technology

Abstract Template Resrb 2018, Wojciech M. Budzianowski

Wojciech Budzianowski

No abstract provided.


Renewable Energy And Sustainable Development (Resd) Group, Wojciech M. Budzianowski 2016 Wroclaw University of Technology

Renewable Energy And Sustainable Development (Resd) Group, Wojciech M. Budzianowski

Wojciech Budzianowski

No abstract provided.


C.V. - Wojciech Budzianowski, Wojciech M. Budzianowski 2016 Wroclaw University of Technology

C.V. - Wojciech Budzianowski, Wojciech M. Budzianowski

Wojciech Budzianowski

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Two-Settlement Electric Power Markets With Dynamic-Price Customers, Huan Zhao, Auswin George Thomas, Pedram Jahangiri, Chengrui Cai, Leigh Tesfatsion, Dionysios C. Aliprantis 2016 Iowa State University

Two-Settlement Electric Power Markets With Dynamic-Price Customers, Huan Zhao, Auswin George Thomas, Pedram Jahangiri, Chengrui Cai, Leigh Tesfatsion, Dionysios C. Aliprantis

Leigh Tesfatsion

This study will report both analytical and computational testbed findings regarding the effects of retail dynamic-price contracting on power system operations. The key issue under study is the extent to which the introduction of dynamic price contracts for retail consumers affects the efficiency of both retail and wholesale power market operations through changes in price volatility and load profiles at wholesale, and through re-allocations of risk between load-serving entities and retail consumers.


Agent-Based Modeling And Institutional Design, Leigh Tesfatsion 2016 Iowa State University

Agent-Based Modeling And Institutional Design, Leigh Tesfatsion

Leigh Tesfatsion

The recent economic crisis has led to calls for a comprehensive restructuring of energy, financial, health care, and educational systems. Critics worry that the restructuring of these complex institutional arrangements could produce adverse unintended consequences. Given these concerns, pre-testing of proposed changes is eminently desirable but also exceedingly difficult. This essay focuses on the potential use of agent-based modeling for studying proposed changes in institutional arrangements in advance of actual implementation. Ongoing agent-based research on the restructuring of electric power markets is used for concrete illustration.


A Nash Approach To Planning Merchant Transmission For Renewable Resource Integration, Qun Zhou, Leigh Tesfatsion, Chen-Ching Liu, Ron F. Chu, Wei Sun 2016 Alstom Grid Inc.

A Nash Approach To Planning Merchant Transmission For Renewable Resource Integration, Qun Zhou, Leigh Tesfatsion, Chen-Ching Liu, Ron F. Chu, Wei Sun

Leigh Tesfatsion

Major transmission projects are needed to integrate and to deliver renewable energy (RE) resources. Cost recovery is a serious impediment to transmission investment. A negotiation methodology is developed in this study to guide transmission investment for RE integration. Built on Nash bargaining theory, the methodology models a negotiation between an RE generation company and a transmission company for the cost sharing and recovery of a new transmission line permitting delivery of RE to the grid. Findings from a six-bus test case demonstrate the Pareto efficiency of the approach as well as its fairness, in that it is consistent with one ...


(Un)Stable Manifold Computation Via Iterative Forward-Backward Runge-Kutta Type Methods, Dmitriy Zhigunov 2016 College of William and Mary

(Un)Stable Manifold Computation Via Iterative Forward-Backward Runge-Kutta Type Methods, Dmitriy Zhigunov

Undergraduate Honors Theses

I present numerical methods for the computation of stable and unstable manifolds in autonomous dynamical systems. Through differentiation of the Lyapunov-Perron operator in [Casteneda, Rosa 1996], we find that the stable and unstable manifolds are boundary value problems on the original set of differential equation. This allows us to create a forward-backward approach for manifold computation, where we iteratively integrate one set of variables forward in time, and one set of variables backward in time. Error and stability of these methods is discussed.


Stability Analysis Of A Prey Refuge Predator-Prey Model With Allee Effects, Unal Ufuktepe Prof 2016 American University of the Middle East

Stability Analysis Of A Prey Refuge Predator-Prey Model With Allee Effects, Unal Ufuktepe Prof

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


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