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All Articles in Dynamic Systems

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366 full-text articles. Page 1 of 13.

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.


Hybrid Modeling For Forecasting Population Dynamics, John H. Lagergren 2016 North Carolina State University at Raleigh

Hybrid Modeling For Forecasting Population Dynamics, John H. Lagergren

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Sensitivity Analysis Of Pest Eradication And Permanence Solutions In A Model For Integrated Pest Management, Timothy Comar, Olcay Akman, Daniel Hrozencik 2016 Benedictine University

Sensitivity Analysis Of Pest Eradication And Permanence Solutions In A Model For Integrated Pest Management, Timothy Comar, Olcay Akman, Daniel Hrozencik

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Mathematical Modeling In Collaborative Courses: The Soup To Nuts Experience, Sarah Hews, Christina Cianfrani 2016 Hampshire College

Mathematical Modeling In Collaborative Courses: The Soup To Nuts Experience, Sarah Hews, Christina Cianfrani

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Vaccination Strategies For Small Worlds, Winfried Just, Hannah L. Callender 2016 Ohio University - Main Campus

Vaccination Strategies For Small Worlds, Winfried Just, Hannah L. Callender

Annual Symposium on Biomathematics and Ecology: Education and Research

No abstract provided.


Essays In Market Structure And Liquidity, Adrian J. Walton 2016 The University of Western Ontario

Essays In Market Structure And Liquidity, Adrian J. Walton

Electronic Thesis and Dissertation Repository

Market structure concerns the mechanisms for negotiating trades and the composition of trading participants, and can affect liquidity and price efficiency. More gains from trade can be realized from an asset that is more liquid, and a better allocation of risk and capital can be achieved when an asset’s price is more efficient so it is important to understand market structure. This thesis uses theory and empirical methods to examine the effects of a few specific aspects of market structure.

In Chapter 1, we study a novel market structure on the New York Stock Exchange (NYSE), the Retail Liqudity ...


Clustering-Based Robot Navigation And Control, Omur Arslan 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, Aaron C. Brown 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, Qikai Huang (Bruce Wingo) 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 ...


Using Mathematical Modeling To Unmask The Concealed Nature Of Long Qt-3 Syndrome, Steven Poelzing, Amara Greer-Short, Seth H. Weinberg 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.


Using Predator Carrying Capacity For A Pathogenic Vector-Dynamic Differential Model, Rosahn P. Bhattarai 2016 Georgia State University

Using Predator Carrying Capacity For A Pathogenic Vector-Dynamic Differential Model, Rosahn P. Bhattarai

Biology and Medicine Through Mathematics Conference

No abstract provided.


Demonstration Of Follicle Waves Using Delay Differential Equations, Andrew A. Wright 2016 North Carolina State University at Raleigh

Demonstration Of Follicle Waves Using Delay Differential Equations, Andrew A. Wright

Biology and Medicine Through Mathematics Conference

No abstract provided.


Growth Dynamics For Pomacea Maculata, Lihong Zhao, Karyn L. Sutton, Jacoby Carter 2016 University of Louisiana at Lafayette

Growth Dynamics For Pomacea Maculata, Lihong Zhao, Karyn L. Sutton, Jacoby Carter

Biology and Medicine Through Mathematics Conference

No abstract provided.


Can Including Time Delay In Epidemic Models Significantly Improve Predictions Concerning Intervention Strategies?, Adrienna N. Bingham, Leah Shaw 2016 College of William and Mary

Can Including Time Delay In Epidemic Models Significantly Improve Predictions Concerning Intervention Strategies?, Adrienna N. Bingham, Leah Shaw

Biology and Medicine Through Mathematics Conference

No abstract provided.


Low Energy Defibrillation By Synchronization; 90 % Less Energy Compared To One Shock., Flavio H. Fenton, Yanyan Ji, Ilija Uzelac, Niels Otani, Elizabeth M. Cherry 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.


Voronoi-Based Coverage Control Of Heterogeneous Disk-Shaped Robots, Omur Arslan, Daniel E. Koditschek 2016 University of Pennsylvania

Voronoi-Based Coverage Control Of Heterogeneous Disk-Shaped Robots, Omur Arslan, Daniel E. Koditschek

Departmental Papers (ESE)

In distributed mobile sensing applications, networks of agents that are heterogeneous respecting both actuation as well as body and sensory footprint are often modelled by recourse to power diagrams — generalized Voronoi diagrams with additive weights. In this paper we adapt the body power diagram to introduce its “free subdiagram,” generating a vector field planner that solves the combined sensory coverage and collision avoidance problem via continuous evaluation of an associated constrained optimization problem. We propose practical extensions (a heuristic congestion manager that speeds convergence and a lift of the point particle controller to the more practical differential drive kinematics) that ...


Exact Robot Navigation Using Power Diagrams, Omur Arslan, Daniel E. Koditschek 2016 University of Pennsylvania

Exact Robot Navigation Using Power Diagrams, Omur Arslan, Daniel E. Koditschek

Departmental Papers (ESE)

We reconsider the problem of reactive navigation in sphere worlds, i.e., the construction of a vector field over a compact, convex Euclidean subset punctured by Euclidean disks, whose flow brings a Euclidean disk robot from all but a zero measure set of initial conditions to a designated point destination, with the guarantee of no collisions along the way. We use power diagrams, generalized Voronoi diagrams with additive weights, to identify the robot’s collision free convex neighborhood, and to generate the value of our proposed candidate solution vector field at any free configuration via evaluation of an associated convex ...


Computing All Isolated Invariant Sets At A Finite Resolution, Martin Salgado-Flores 2016 College of William and Mary

Computing All Isolated Invariant Sets At A Finite Resolution, Martin Salgado-Flores

College of William & Mary Undergraduate Honors Theses

Conley Index theory has inspired the development of rigorous computational methods to study dynamics. These methods construct outer approximations, combinatorial representations of the system, which allow us to represent the system as a combination of two graphs over a common vertex set. Invariant sets are sets of vertices and edges on the resulting digraph. Conley Index theory relies on isolated invariant sets, which are maximal invariant sets that meet an isolation condition, to describe the dynamics of the system. In this work, we present a computationally efficient and rigorous algorithm for computing all isolated invariant sets given an outer approximation ...


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


Modelling The Impact Of Climate Change On The Polar Bear Population In Western Hudson Bay, Nicole Bastow 2016 The University of Western Ontario

Modelling The Impact Of Climate Change On The Polar Bear Population In Western Hudson Bay, Nicole Bastow

Electronic Thesis and Dissertation Repository

The aim of this thesis is to model the impact of climate change on polar bear populations. The first model is a discrete matrix model with time-dependent parameters, which are influenced by temperature increases. Sensitivity analysis is done on the model. Numerical simulations predict there exist several scenarios that result in polar bear extinction. When the impact of climate warming is low the population is predicted to die out in 300 years and for higher levels of impact the population can be extinct within 6. The second model is a system of continuous delay differential equations with time-dependent parameters, also ...


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