# Dynamic Systems Commons™

## All Articles in Dynamic Systems

379 full-text articles. Page 1 of 15.

2018 University of North Georgia

#### Darboux-Box Variables And The Existence Of A Complete Set Of Lagrangians For Given N-Dimensional Newtonian Equations Of Motion. The Isomorphism Of N-Dimensional Newtonian Dynamical Systems, Piotr W. Hebda, Beata Hebda

##### Faculty Publications

For given time-independent Newtonian system of equations of motion and given Poisson Brackets allowed by these equations, it is proven that locally a Lagrangian exists that gives these equations of motion as its regular Euler-Lagrange equations, and gives these Poisson Brackets in a regular process of obtaining the Hamiltonian and its Poisson Brackets. However, this Lagrangian may be using generalized position-velocity variables instead of the original position-velocity variables from the original equations of motion. Also, Darboux Box variables are introduced to prove that all Newtonian dynamical systems are locally isomorphic, meaning that locally there exists a one-to-one function relating the ...

Algebraic Methods For The Construction Of Algebraic-Difference Equations With Desired Behavior, 2018 Aristotle University of Thessaloniki

#### Algebraic Methods For The Construction Of Algebraic-Difference Equations With Desired Behavior, Lazaros Moysis, Nicholas Karampetakis

##### Electronic Journal of Linear Algebra

For a given system of algebraic and difference equations, written as an Auto-Regressive (AR) representation $A(\sigma)\beta(k)=0$, where $\sigma$ denotes the shift forward operator and $A\left( \sigma \right)$ a regular polynomial matrix, the forward-backward behavior of this system can be constructed by using the finite and infinite elementary divisor structure of $A\left( \sigma \right)$. This work studies the inverse problem: Given a specific forward-backward behavior, find a family of regular or non-regular polynomial matrices $A\left( \sigma \right)$, such that the constructed system $A\left( \sigma \right) \beta \left( k\right) =0$ has exactly the ...

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 ...

Rogue Rotary - Modular Robotic Rotary Joint Design, 2017 California Polytechnic State University, San Luis Obispo

#### Rogue Rotary - Modular Robotic Rotary Joint Design, Sean Wesley Murphy, Tyler David Riessen, Jacob Mark Triplett

##### Mechanical Engineering

This paper describes the design process from ideation to test validation for a singular robotic joint to be configured into a myriad of system level of robots.

On The Existence Of Bogdanov-Takens Bifurcations, 2017 Missouri State University

#### On The Existence Of Bogdanov-Takens Bifurcations, Zachary Deskin

In bifurcation theory, there is a theorem (called Sotomayor's Theorem) which proves the existence of one of three possible bifurcations of a given system, provided that certain conditions of the system are satisfied. It turns out that there is a "similar" theorem for proving the existence of what is referred to as a Bogdanov-Takens bifurcation. The author is only aware of one reference that has the proof of this theorem. However, most of the details were left out of the proof. The contribution of this thesis is to provide the details of the proof on the existence of Bogdanov-Takens ...

2017 University of Louisville

#### Nonspreading Solutions In Integro-Difference Models With Allee And Overcompensation Effects., Garrett Luther Otto

##### Electronic Theses and Dissertations

Previous work in Integro-Difference models have generally considered Allee effects and over-compensation separately, and have either focused on bounded domain problems or asymptotic spreading results. Some recent results by Sullivan et al. (2017 PNAS 114(19), 5053-5058) combining Allee and over-compensation in an Integro-Difference framework have shown chaotic fluctuating spreading speeds. In this thesis, using a tractable parameterized growth function, we analytically demonstrate that when Allee and over-compensation are present solutions which persist but essentially remain in a compact domain exist. We investigate the stability of these solutions numerically. We also numerically demonstrate the existence of such solutions for more ...

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 ...