Universality And Synchronization In Complex Quadratic Networks (Cqns),
2022
State University of New York at New Paltz
Universality And Synchronization In Complex Quadratic Networks (Cqns), Anca R. Radulescu, Danae Evans
Biology and Medicine Through Mathematics Conference
No abstract provided.
Effects Of Local Mutations In Quadratic Iterations,
2022
State University of New York at New Paltz
Effects Of Local Mutations In Quadratic Iterations, Anca R. Radulescu, Abraham Longbotham
Biology and Medicine Through Mathematics Conference
No abstract provided.
Thoracoabdominal Asynchrony In A Virtual Preterm Infant: Computational Modeling And Analysis,
2022
Virginia Commonwealth University
Thoracoabdominal Asynchrony In A Virtual Preterm Infant: Computational Modeling And Analysis, Richard R. Foster, Laura Ellwein Fix
Biology and Medicine Through Mathematics Conference
No abstract provided.
A Novel Method For Sensitivity Analysis Of Time-Averaged Chaotic System Solutions,
2022
Mississippi State University
A Novel Method For Sensitivity Analysis Of Time-Averaged Chaotic System Solutions, Christian A. Spencer-Coker
Theses and Dissertations
The direct and adjoint methods are to linearize the time-averaged solution of bounded dynamical systems about one or more design parameters. Hence, such methods are one way to obtain the gradient necessary in locally optimizing a dynamical system’s time-averaged behavior over those design parameters. However, when analyzing nonlinear systems whose solutions exhibit chaos, standard direct and adjoint sensitivity methods yield meaningless results due to time-local instability of the system. The present work proposes a new method of solving the direct and adjoint linear systems in time, then tests that method’s ability to solve instances of the Lorenz system ...
The Gelfand Problem For The Infinity Laplacian,
2022
Wayne State University
The Gelfand Problem For The Infinity Laplacian, Fernando Charro, Byungjae Son, Peiyong Wang
Mathematics Faculty Research Publications
We study the asymptotic behavior as p → ∞ of the Gelfand problem
−Δpu = λeu in Ω ⊂ Rn, u = 0 on ∂Ω.
Under an appropriate rescaling on u and λ, we prove uniform convergence of solutions of the Gelfand problem to solutions of
min{|∇u|−Λeu, −Δ∞u} = 0 in Ω, u = 0 on ∂Ω.
We discuss existence, non-existence, and multiplicity of solutions of the limit problem in terms of Λ.
Representing And Analyzing The Dynamics Of An Agent-Based Adaptive Social Network Model With Partial Integro-Differential Equations,
2022
Binghamton University, SUNY
Representing And Analyzing The Dynamics Of An Agent-Based Adaptive Social Network Model With Partial Integro-Differential Equations, Hiroki Sayama
Northeast Journal of Complex Systems (NEJCS)
We formulated and analyzed a set of partial integro-differential equations that capture the dynamics of our adaptive network model of social fragmentation involving behavioral diversity of agents. Previous results showed that, if the agents’ cultural tolerance levels were diversified, the social network could remain connected while maintaining cultural diversity. Here we converted the original agent-based model into a continuous equation-based one so we can gain more theoretical insight into the model dynamics. We restricted the node states to 1-D continuous values and assumed the network size was very large. As a result, we represented the whole system as a set ...
Vertical Take-Off And Landing Control Via Dual-Quaternions And Sliding Mode,
2022
Embry-Riddle Aeronautical University
Vertical Take-Off And Landing Control Via Dual-Quaternions And Sliding Mode, Joshua Sonderegger
PhD Dissertations and Master's Theses
The landing and reusability of space vehicles is one of the driving forces into renewed interest in space utilization. For missions to planetary surfaces, this soft landing has been most commonly accomplished with parachutes. However, in spite of their simplicity, they are susceptible to parachute drift. This parachute drift makes it very difficult to predict where the vehicle will land, especially in a dense and windy atmosphere such as Earth. Instead, recent focus has been put into developing a powered landing through gimbaled thrust. This gimbaled thrust output is dependent on robust path planning and controls algorithms. Being able to ...
Bistability And Switching Behavior In Moving Animal Groups,
2022
Lafayette College
Bistability And Switching Behavior In Moving Animal Groups, Daniel Strömbom, Stephanie Nickerson, Catherine Futterman, Alyssa Difazio, Cameron Costello, Kolbjørn Tunstrøm
Northeast Journal of Complex Systems (NEJCS)
Moving animal groups such as schools of fish and flocks of birds frequently switch between different group structures. Standard models of collective motion have been used successfully to explain how stable groups form via local interactions between individuals, but they are typically unable to produce groups that exhibit spontaneous switching. We are only aware of one model, constructed for barred flagtail fish that are known to rely on alignment and attraction to organize their collective motion, that has been shown to generate this type of behavior in 2D (or 3D). Interestingly, another species of fish, golden shiners, do exhibit switching ...
Smoothed Bounded-Confidence Opinion Dynamics On The Complete Graph,
2022
Claremont Colleges
Smoothed Bounded-Confidence Opinion Dynamics On The Complete Graph, Solomon Valore-Caplan
HMC Senior Theses
We present and analyze a model for how opinions might spread throughout a network of people sharing information. Our model is called the smoothed bounded-confidence model and is inspired by the bounded-confidence model of opinion dynamics proposed by Hegselmann and Krause. In the Hegselmann–Krause model, agents move towards the average opinion of their neighbors. However, an agent only factors a neighbor into the average if their opinions are sufficiently similar. In our model, we replace this binary threshold with a logarithmic weighting function that rewards neighbors with similar opinions and minimizes the effect of dissimilar ones. This weighting function ...
An Adaptive Hegselmann–Krause Model Of Opinion Dynamics,
2022
Claremont Colleges
An Adaptive Hegselmann–Krause Model Of Opinion Dynamics, Phousawanh Peaungvongpakdy
HMC Senior Theses
Models of opinion dynamics have been used to understand how the spread
of information in a population evolves, such as the classical Hegselmann–
Krause model (Hegselmann and Krause, 2002). One extension of the model
has been used to study the impact of media ideology on social media
networks (Brooks and Porter, 2020). In this thesis, we explore various
models of opinions and propose our own model, which is an adaptive
version of the Hegselmann–Krause model. The adaptive version implements
the social phenomenon of homophily—the tendency for like-minded agents to
associate together. This is done by having agents dissolve ...
On The Coriolis Effect For Internal Ocean Waves,
2022
Technological University Dublin
On The Coriolis Effect For Internal Ocean Waves, Rossen Ivanov
Conference papers
A derivation of the Ostrovsky equation for internal waves with methods of the Hamiltonian water wave dynamics is presented. The internal wave formed at a pycnocline or thermocline in the ocean is influenced by the Coriolis force of the Earth's rotation. The Ostrovsky equation arises in the long waves and small amplitude approximation and for certain geophysical scales of the physical variables.
Convergence Properties Of Solutions Of A Length-Structured Density-Dependent Model For Fish,
2021
University of Nebraska, Lincoln
Convergence Properties Of Solutions Of A Length-Structured Density-Dependent Model For Fish, Geigh Zollicoffer
Rose-Hulman Undergraduate Mathematics Journal
We numerically study solutions to a length-structured matrix model for fish populations in which the probability that a fish grows into the next length class is a decreasing nonlinear function of the total biomass of the population. We make conjectures about the convergence properties of solutions to this equation, and give numerical simulations which support these conjectures. We also study the distribution of biomass in the different age classes as a function of the total biomass.
Neural Network Controller Vs Pulse Control To Achieve Complete Eradication Of Cancer Cells In A Mathematical Model,
2021
Tijuana Institute of Technology, México
Neural Network Controller Vs Pulse Control To Achieve Complete Eradication Of Cancer Cells In A Mathematical Model, Joel A. Quevedo, Sergio A. Puga, Paul A. Valle
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Mathematical Model Describing The Behavior Of Biomass, Acidity, And Viscosity As A Function Of Temperature In The Shelf Life Of Yogurt,
2021
Durango Institute of Technology, México
Mathematical Model Describing The Behavior Of Biomass, Acidity, And Viscosity As A Function Of Temperature In The Shelf Life Of Yogurt, Manuel Alvarado, Paul A. Valle, Yolocuauhtli Salazar
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Reconstructing Mathematical Models With Chaotic Attractors Via Genetic Algorithms,
2021
Tijuana Institute of Technology, México
Reconstructing Mathematical Models With Chaotic Attractors Via Genetic Algorithms, Luis A. Ramirez Islas, Paul A. Valle
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Improved Ships Course-Keeping Robust Control Algorithm Based On Backstepping And Nonlinear Feedback,
2021
World Maritime University
Improved Ships Course-Keeping Robust Control Algorithm Based On Backstepping And Nonlinear Feedback, Sirui Wang
Maritime Safety & Environment Management Dissertations (Dalian)
No abstract provided.
Symphas: A Modular Api For Phase-Field Modeling Using Compile-Time Symbolic Algebra,
2021
The University of Western Ontario
Symphas: A Modular Api For Phase-Field Modeling Using Compile-Time Symbolic Algebra, Steven A. Silber
Electronic Thesis and Dissertation Repository
The phase-field method is a common approach to qualitative analysis of phase transitions. It allows visualizing the time evolution of a phase transition, providing valuable insight into the underlying microstructure and the dynamical processes that take place. Although the approach is applied in a diverse range of fields, from metal-forming to cardiac modelling, there are a limited number of software tools available that allow simulating any phase-field problem and that are highly accessible. To address this, a new open source API and software package called SymPhas is developed for simulating phase-field and phase-field crystal in 1-, 2- and 3-dimensions. Phase-field ...
Using An Analytical Approach Of The Kuramoto Model To Stimulate 3d Neural Activity Of The Stomach,
2021
Western University
Using An Analytical Approach Of The Kuramoto Model To Stimulate 3d Neural Activity Of The Stomach, Morteza Al Rabya
Undergraduate Student Research Internships Conference
No abstract provided.
Representation Of Nonlinear Pseudo-Random Generators Using State-Space Equations,
2021
University of Technology, Iraq
Representation Of Nonlinear Pseudo-Random Generators Using State-Space Equations, Raghad K. Salih
Emirates Journal for Engineering Research
The idea of research is a representation of the nonlinear pseudo-random generators using state-space equations that is not based on the usual description as shift register synthesis but in terms of matrices. Different types of nonlinear pseudo-random generators with their algorithms have been applied in order to investigate the output pseudo-random sequences. Moreover, two examples are given for conciliated the results of this representation.
Dynamic Parameter Estimation From Partial Observations Of The Lorenz System,
2021
CUNY Hunter College
Dynamic Parameter Estimation From Partial Observations Of The Lorenz System, Eunice Ng
Theses and Dissertations
Recent numerical work of Carlson-Hudson-Larios leverages a nudging-based algorithm for data assimilation to asymptotically recover viscosity in the 2D Navier-Stokes equations as partial observations on the velocity are received continuously-in-time. This "on-the-fly" algorithm is studied both analytically and numerically for the Lorenz equations in this thesis.