# Dynamic Systems Commons™

356 Full-Text Articles 345 Authors 92977 Downloads 55 Institutions

## All Articles in Dynamic Systems

356 full-text articles. Page 1 of 14.

Strong Stability Of A Class Of Difference Equations Of Continuous Time And Structured Singular Value Problem, 2018 Nanjing University of Science and Technology

#### Strong Stability Of A Class Of Difference Equations Of Continuous Time And Structured Singular Value Problem, Qian Ma, Keqin Gu, Narges Choubedar

##### SIUE Faculty Research, Scholarship, and Creative Activity

This article studies the strong stability of scalar difference equations of continuous time in which the delays are sums of a number of independent parameters tau_i, i = 1, 2, . . . ,K. The characteristic quasipolynomial of such an equation is a multilinear function of exp(-tau_i s). It is known that the characteristic quasipolynomial of any difference equation set in the form of one-delayper- scalar-channel (ODPSC) model is also in such a multilinear form. However, it is shown in this article that some multilinear forms of quasipolynomials are not characteristic quasipolynomials of any ODPSC difference equation set. The equivalence between local strong ...

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.

Registration Form Resrb 2018, 2017 Wojciech Budzianowski Consulting Services

#### Registration Form Resrb 2018, Wojciech M. Budzianowski

##### Wojciech Budzianowski

No abstract provided.

Abstract Template Resrb 2018, 2017 Wojciech Budzianowski Consulting Services

#### Abstract Template Resrb 2018, Wojciech M. Budzianowski

##### Wojciech Budzianowski

No abstract provided.

Spectral Dynamics Of Graph Sequences Generated By Subdivision And Triangle Extension, 2017 Jimei University

#### Spectral Dynamics Of Graph Sequences Generated By Subdivision And Triangle Extension, Haiyan Chen, Fuji Zhang

##### Electronic Journal of Linear Algebra

For a graph G and a unary graph operation X, there is a graph sequence \G_k generated by G_0=G and G_{k+1}=X(G_k). Let Sp({G_k}) denote the set of normalized Laplacian eigenvalues of G_k. The set of limit points of \bigcup_{k=0}^\infty Sp(G_k)$,$\liminf_{k\rightarrow\infty}Sp(G_k) and $\limsup_{k\rightarrow \infty}Sp(G_k)$ are considered in this paper for graph sequences generated by two operations: subdivision and triangle extension. It is obtained that the spectral dynamic of graph sequence generated by subdivision is determined by a quadratic function, which is ...

Model Selection And Permanence In A Stochastic Integrated Pest Management Model, 2017 Benedictine University

#### Model Selection And Permanence In A Stochastic Integrated Pest Management Model, Timothy Comar, Olcay Akman, Daniel Hrozencik

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

No abstract provided.

Agent-Based Model For Integrated Pest Management With Periodic Control Strategies, 2017 Benedictine University

#### Agent-Based Model For Integrated Pest Management With Periodic Control Strategies, Timothy Comar, Elizabeth Rodriguez

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

No abstract provided.

Stochastic And Deterministic Multigroup Epidemiology, 2017 Illinois Mathematics and Science Academy

#### Stochastic And Deterministic Multigroup Epidemiology, Jordan Hasler, Chris Chang, Ananya Yammanuru, Lewis Oh, Esther Matthew, Mounisha Kovour

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

No abstract provided.

2017 Illinois State University

#### Yeast Cell Cycle And Metabolism Can Be Coupled In Nontrivial Ways., Todd Young

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

No abstract provided.

Modeling Microtubule-Based Transport In The Frog Egg Cell, 2017 Mathematical Biosciences Institute at OSU

#### Modeling Microtubule-Based Transport In The Frog Egg Cell, Maria-Veronica Ciocanel

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

No abstract provided.

2017 Illinois State University

#### A Model Of Dengue Transmission With Wolbachia-Free And Wolbachia-Infected Mosquitoes, Iftikhar Ahmed

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

No abstract provided.

2017 Illinois State University

#### Modeling Voting Dynamics In A Two-Party System: Social Interaction And Media Consumption, Caleb Ignace

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

No abstract provided.

Circles, 2017 University of Southern California

#### Circles, Gabriel Leiner

##### Gabriel Leiner

Original research of mine on motion that has been robustly modernized using the premise of increased functionality of a system that runs on a connected pattern such as a loop, circle, or any other shape with a common start and end point. Some really interesting ideas are coded using nodes, random number generators, and simulations. In reality these ideas have many applications, though specifically this research models vehicle travel, and references some cities that mimic some of these ideas.

Data Predictive Control Using Regression Trees And Ensemble Learning, 2017 University of Pennsylvania

#### Data Predictive Control Using Regression Trees And Ensemble Learning, Achin Jain, Francesco Smarra, Rahul Mangharam

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

Decisions on how to best operate large complex plants such as natural gas processing, oil refineries, and energy efficient buildings are becoming ever so complex that model-based predictive control (MPC) algorithms must play an important role. However, a key factor prohibiting the widespread adoption of MPC, is the cost, time, and effort associated with learning first-principles dynamical models of the underlying physical system. An alternative approach is to employ learning algorithms to build black-box models which rely only on real-time data from the sensors. Machine learning is widely used for regression and classification, but thus far data-driven models have not ...

2017 The University of Western Ontario

#### Modelling Walleye Population And Its Cannibalism Effect, Quan Zhou

##### Electronic Thesis and Dissertation Repository

Walleye is a very common recreational fish in Canada with a strong cannibalism tendency, such that walleyes with larger sizes will consume their smaller counterparts when food sources are limited or a surplus of adults is present. Cannibalism may be a factor promoting population oscillation. As fish reach a certain age or biological stage (i.e. biological maturity), the number of fish achieving that stage is known as fish recruitment. The objective of this thesis is to model the walleye population with its recruitment and cannibalism effect. A matrix population model has been introduced to characterize the walleye population into ...

Designing A Finite-Time Mixer: Optimizing Stirring For Two-Dimensional Maps, 2017 University of Colorado Boulder

#### Designing A Finite-Time Mixer: Optimizing Stirring For Two-Dimensional Maps, James Meiss, Rebecca Mitchell

##### Applied Mathematics Faculty Contributions

Mixing of a passive scalar in a fluid flow results from a two part process in which large gradients are first created by advection and then smoothed by diffusion. We investigate methods of designing efficient stirrers to optimize mixing of a passive scalar in a two-dimensional, nonautonomous, incom- pressible flow over a finite-time interval. The flow is modeled by a sequence of area-preserving maps whose parameters change in time, defining a mixing protocol. Stirring efficiency is measured by a negative Sobolev seminorm; its decrease implies creation of fine-scale structure. A Perron–Frobenius operator is used to numerically advect the scalar ...

On Honey Bee Colony Dynamics And Disease Transmission, 2017 The University of Western Ontario

#### On Honey Bee Colony Dynamics And Disease Transmission, Matthew I. Betti

##### Electronic Thesis and Dissertation Repository

The work herein falls under the umbrella of mathematical modeling of disease transmission. The majority of this document focuses on the extent to which infection undermines the strength of a honey bee colony. These studies extend from simple mass-action ordinary differential equations models, to continuous age-structured partial differential equation models and finally a detailed agent-based model which accounts for vector transmission of infection between bees as well as a host of other influences and stressors on honey bee colony dynamics. These models offer a series of predictions relevant to the fate of honey bee colonies in the presence of disease ...

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 ...

Noisy Neural Oscillators With Intrinsic And Network Heterogeneity, 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.

2017 Loyola Marymount University

#### Comparison Of The Regulatory Dynamics Of Related Small Gene Regulatory Networks That Control The Response To Cold Shock In Saccharomyces Cerevisiae, Natalie Williams

##### Honors Thesis

The Dahlquist Lab investigates the global, transcriptional response of Sacchromyces cerevisiae, baker’s yeast, to the environmental stress of cold shock, using DNA microarrays for the wild type strain and strains deleted for a particular regulatory transcription factor. Gene regulatory networks (GRNs) consist of transcription factors (TF), genes, and the regulatory connections between them that control the resulting mRNA and protein expression levels. We use mathematical modeling to determine the dynamics of the GRN controlling the cold shock response to determine the relative influence of each transcription factor in the network. A family of GRNs has been derived from the ...