# Dynamical Systems Commons™

## All Articles in Dynamical Systems

308 full-text articles. Page 1 of 12.

The Battle Against Malaria: A Teachable Moment, 2017 Schoolcraft College

#### The Battle Against Malaria: A Teachable Moment, Randy K. Schwartz

##### Journal of Humanistic Mathematics

Malaria has been humanity’s worst public health problem throughout recorded history. Mathematical methods are needed to understand which factors are relevant to the disease and to develop counter-measures against it. This article and the accompanying exercises provide examples of those methods for use in lower- or upper-level courses dealing with probability, statistics, or population modeling. These can be used to illustrate such concepts as correlation, causation, conditional probability, and independence. The article explains how the apparent link between sickle cell trait and resistance to malaria was first verified in Uganda using the chi-squared probability distribution. It goes on to ...

Data Predictive Control For Building Energy Management, 2017 University of Pennsylvania

#### Data Predictive Control For Building Energy Management, Achin Jain, Madhur Behl, Rahul Mangharam

##### Real-Time and Embedded Systems Lab (mLAB)

Decisions on how to best optimize energy systems operations are becoming ever so complex and conflicting, that model-based predictive control (MPC) algorithms must play an important role. However, a key factor prohibiting the widespread adoption of MPC in buildings, is the cost, time, and effort associated with learning first-principles based dynamical models of the underlying physical system. This paper introduces an alternative approach for implementing finite-time receding horizon control using control-oriented data-driven models. We call this approach Data Predictive Control (DPC). Specifically, by utilizing separation of variables, two novel algorithms for implementing DPC using a single regression tree and with ...

Abstract Template Resrb 2017, 2016 Wroclaw University of Technology

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

##### Wojciech Budzianowski

No abstract provided.

Order Form Resrb 2017, 2016 Wroclaw University of Technology

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

##### Wojciech Budzianowski

No abstract provided.

C.V., 2016 Wroclaw University of Technology

#### C.V., Wojciech M. Budzianowski

##### Wojciech Budzianowski

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Fractal Analysis Of Dna Sequences, 2016 Universidad del Valle - Colombia - Georgia Institute of Technology

#### Fractal Analysis Of Dna Sequences, Christian G. Arias, Pedro Antonio Moreno Phd, Carlos Tellez

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

No abstract provided.

Predator-Prey Dynamics With Intraspecific Competition And An Allee Effect In The Predator Population, 2016 The New School

#### Predator-Prey Dynamics With Intraspecific Competition And An Allee Effect In The Predator Population, Anne E. Yust, Erin N. Bodine

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

No abstract provided.

2016 University of Dayton

#### On The Perfect Reconstruction Of The Structure Of Dynamic Networks, Alan Veliz-Cuba

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

No abstract provided.

2016 Unity College

#### Comparing The Effects Of General And Selective Culling On Chronic Wasting Disease (Cwd) Prevalence, Elliott J. Moran

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

No abstract provided.

2016 Southeast University

#### Dem-Cfd Numerical Simulation And Experimental Validation Of Heat Transfer And Two-Component Flow In Fluidized Bed, Feihong Guo

##### The 8th International Conference on Physical and Numerical Simulation of Materials Processing

No abstract provided.

2016 The Graduate Center, City University of New York

#### The Fourth Movement Of György Ligeti's Piano Concerto: Investigating The Musical-Mathematical Connection, Cynthia L. Wong

##### All Graduate Works by Year: Dissertations, Theses, and Capstone Projects

This interdisciplinary study explores musical-mathematical analogies in the fourth movement of Ligeti’s Piano Concerto. Its aim is to connect musical analysis with the piece’s mathematical inspiration. For this purpose, the dissertation is divided into two sections. Part I (Chapters 1-2) provides musical and mathematical context, including an explanation of ideas related to Ligeti’s mathematical inspiration. Part II (Chapters 3-5) delves into an analysis of the rhythm, form, melody / motive, and harmony. Appendix A is a reduced score of the entire movement, labeled according to my analysis.

An Expansion Property Of Boolean Linear Maps, 2016 Shanghai Jiao Tong University

#### An Expansion Property Of Boolean Linear Maps, Yaokun Wu, Zeying Xu, Yinfeng Zhu

##### Electronic Journal of Linear Algebra

Given a finite set $K$, a Boolean linear map on $K$ is a map $f$ from the set $2^K$ of all subsets of $K$ into itself with $f(\emptyset )=\emptyset$ such that $f(A\cup B)=f(A)\cup f(B)$ holds for all $A,B\in 2^K$. For fixed subsets $X, Y$ of $K$, to predict if $Y$ is reachable from $X$ in the dynamical system driven by $f$, one can assume the existence of nonnegative integers $h$ with $f^h(X)=Y$, find an upper bound $\alpha$ for the minimum of all such assumed integers \$h ...

A Bi-Stable Switch In Virus Dynamics Can Explain The Differences In Disease Outcome Following Siv Infections In Rhesus Macaques, 2016 Virginia Tech

#### A Bi-Stable Switch In Virus Dynamics Can Explain The Differences In Disease Outcome Following Siv Infections In Rhesus Macaques, Stanca Ciupe, Christopher Miller, Jonathan Forde

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

Growth Dynamics For Pomacea Maculata, 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.

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.

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

#### Clustering-Based Robot Navigation And Control, Omur Arslan, Dan P. Guralnik, Daniel E. Koditschek

##### 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. In this short note, we present an overview of our recent results that utilize clustering for closing the gap between these two complementary approaches. Traditionally an unsupervised learning method, clustering offers automated tools to discover hidden intrinsic structures ...

2016 The University of Southern Mississippi

#### Applications Of The Sierpiński Triangle To Musical Composition, Samuel C. Dent

##### Honors Theses

The present paper builds on the idea of composing music via fractals, specifically the Sierpiński Triangle and the Sierpiński Pedal Triangle. The resulting methods are intended to produce not just a series of random notes, but a series that we think pleases the ear. One method utilizes the iterative process of generating the Sierpiński Triangle and Sierpiński Pedal Triangle via matrix operations by applying this process to a geometric configuration of note names. This technique designs the largest components of the musical work first, then creates subsequent layers where each layer adds more detail.

Memory Consolidation In Binary Inputs, 2016 Georgia State University

#### Memory Consolidation In Binary Inputs, Shateil C. French Mr., Ricardo J T Toscano

##### Georgia State Undergraduate Research Conference

No abstract provided.

2016 Georgia State University

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

##### Georgia State Undergraduate Research Conference

No abstract provided.