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.

Applying Fmri Complexity Analyses To The Single-Subject: A Case Study For Proposed Neurodiagnostics, 2017 State University of New York at New Paltz

#### Applying Fmri Complexity Analyses To The Single-Subject: A Case Study For Proposed Neurodiagnostics, Anca R. Radulescu, Emily R. Hannon

*Biology and Medicine Through Mathematics Conference*

No abstract provided.

Application Of Symplectic Integration On A Dynamical System, 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 ...

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

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

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

*Western Research Forum*

Global Exponential Stabilization on SO(3)

Nestt: A Nonconvex Primal-Dual Splitting Method For Distributed And Stochastic Optimization, 2017 Iowa State University

#### Nestt: A Nonconvex Primal-Dual Splitting Method For Distributed And Stochastic Optimization, Davood Hajinezhad, Mingyi Hong, Tuo Zhao, Zhaoran Wang

*Mingyi Hong*

We study a stochastic and distributed algorithm for nonconvex problems whose objective consists a sum *N/* nonconvex *Li/N/ *smooth functions, plus a nonsmooth regularizer. The proposed NonconvEx primal-dual SpliTTing (NESTT) algorithm splits the problem into *N/ * subproblems, and utilizes an augmented Lagrangian based primal-dual scheme to solve it in a distributed and stochastic manner. With a special non-uniform sampling, a version of NESTT achieves *e-1* stationary solution using...gradient evaluations, which can be up to *O(N)/ * times better than the (proximal) gradient descent methods. It also achieves Q-linear convergence rate for nonconvex l1 penalized quadratic problems with polyhedral ...

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

Hamiltonian Model For Coupled Surface And Internal Waves In The Presence Of Currents, 2017 Dublin Institute of Technology

#### Hamiltonian Model For Coupled Surface And Internal Waves In The Presence Of Currents, Rossen Ivanov

*Articles*

We examine a two dimensional fluid system consisting of a lower medium bounded underneath by a flatbed and an upper medium with a free surface. The two media are separated by a free common interface. The gravity driven surface and internal water waves (at the common interface between the media) in the presence of a depth-dependent current are studied under certain physical assumptions. Both media are considered incompressible and with prescribed vorticities. Using the Hamiltonian approach the Hamiltonian of the system is constructed in terms of ’wave’ variables and the equations of motion are calculated. The resultant equations of motion ...

C.V., 2017 Wroclaw University of Technology

Abstract Template Resrb 2017, 2017 Wroclaw University of Technology

#### Abstract Template Resrb 2017, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Order Form Resrb 2017, 2017 Wroclaw University of Technology

#### Order Form Resrb 2017, Wojciech M. Budzianowski

*Wojciech Budzianowski*

No abstract provided.

Noise, Chaos, And The Verhulst Population Model, 2016 University of Wyoming

#### Noise, Chaos, And The Verhulst Population Model, Laurel J. Leonhardt

*Honors Theses AY 16/17*

The history of Verhulst's logistic equation is discussed. Bifurcation diagrams and the importance of the discrete logistic equation in chaos theory are introduced. The results of adding noise to the discrete logistic equation are computed. Surprising linearity is discovered in the relationship between error bounds placed on the period two region and the amount of noise added to the system.

Spreading Speeds Along Shifting Resource Gradients In Reaction-Diffusion Models And Lattice Differential Equations., 2016 University of Louisville

#### Spreading Speeds Along Shifting Resource Gradients In Reaction-Diffusion Models And Lattice Differential Equations., Jin Shang

*Electronic Theses and Dissertations*

A reaction-diffusion model and a lattice differential equation are introduced to describe the persistence and spread of a species along a shifting habitat gradient. The species is assumed to grow everywhere in space and its growth rate is assumed to be monotone and positive along the habitat region. We show that the persistence and spreading dynamics of a species are dependent on the speed of the shifting edge of the favorable habitat, c, as well as c^{*}(∞) and c^{*}(−∞), which are formulated in terms of the dispersal kernel and species growth rates in both directions. When the favorable habitat edge ...

Stability Analysis Of A Prey Refuge Predator-Prey Model With Allee Effects, 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.

Making Waves: A Computational Swimming Lamprey With Sensory Feedback, 2016 Bucknell University

#### Making Waves: A Computational Swimming Lamprey With Sensory Feedback, Christina Hamlet, Eric D. Tytell, Lisa J. Fauci, Kathleen A. Hoffman

*Annual Symposium on Biomathematics and Ecology: Education and Research*

No abstract provided.

Performance-Robust Dynamic Feedback Control Of Lipschitz Nonlinear Systems, 2016 Marquette University

#### Performance-Robust Dynamic Feedback Control Of Lipschitz Nonlinear Systems, Winston Baker

*Dissertations (2009 -)*

This dissertation addresses the dynamic control of nonlinear systems with finite energy noise in the state and measurement equations. Regional eigenvalue assignment (REA) is used to ensure that the state estimate error is driven to zero significantly faster than the state itself. Moreover, the controller is designed for the resulting closed loop system to achieve any one of a set of general performance criteria (GPC). The nonlinear model is assumed to have a Lipschitz nonlinearity both in the state and measurement equations. By using the norm bound of the nonlinearity, the controller is designed to be robust against all nonlinearities ...

Interplay Of Quantum Size Effect, Anisotropy And Surface Stress Shapes The Instability Of Thin Metal Films, 2016 Western Kentucky University

#### Interplay Of Quantum Size Effect, Anisotropy And Surface Stress Shapes The Instability Of Thin Metal Films, Mikhail Khenner

*Mikhail Khenner*

Clustering-Based Robot Navigation And Control, 2016 University of Pennsylvania

#### Clustering-Based Robot Navigation And Control, Omur Arslan

*Departmental Papers (ESE)*

In robotics, it is essential to model and understand the topologies of configuration spaces in order to design provably correct motion planners. The common practice in motion planning for modelling configuration spaces requires either a global, explicit representation of a configuration space in terms of standard geometric and topological models, or an asymptotically dense collection of sample configurations connected by simple paths, capturing the connectivity of the underlying space. This dissertation introduces the use of clustering for closing the gap between these two complementary approaches. Traditionally an unsupervised learning method, clustering offers automated tools to discover hidden intrinsic structures in ...

Self-Correcting Kelly Strategies For Skeptical Traders, 2016 AQR

#### Self-Correcting Kelly Strategies For Skeptical Traders, Aaron C. Brown

*International Conference on Gambling and Risk Taking*

The Kelly criterion gives the appropriate bet size in idealized situations with known parameters. In financial trading situations parameters are generally unknown and the mathematical assumptions underlying the Kelly proof are not met precisely. Moreover a risk manager typically must cooperate with a trader who may be skeptical about both the Kelly criterion specifically and the concept of mathematical optimization of bet size in general.

This presentation tackles the problem of designing a Kelly-based system for setting trade risk management parameters that is both self-correcting (the system delivers good results even if initial parameter are misestimated or parameters change) and ...

Mathematical Modeling Of Quadcopter Dynamics, 2016 Rose-Hulman Institute of Technology

#### Mathematical Modeling Of Quadcopter Dynamics, Qikai Huang (Bruce Wingo)

*Mathematical Sciences Technical Reports (MSTR)*

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 ...