Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Ordinary Differential Equations and Applied Dynamics (3)
- Mathematics (2)
- Aerospace Engineering (1)
- Atmospheric Sciences (1)
- Cancer Biology (1)
-
- Cell and Developmental Biology (1)
- Civil and Environmental Engineering (1)
- Climate (1)
- Computational Biology (1)
- Discrete Mathematics and Combinatorics (1)
- Dynamical Systems (1)
- Engineering (1)
- Environmental Engineering (1)
- Environmental Sciences (1)
- Genetics and Genomics (1)
- Life Sciences (1)
- Non-linear Dynamics (1)
- Numerical Analysis and Computation (1)
- Oceanography (1)
- Oceanography and Atmospheric Sciences and Meteorology (1)
- Other Applied Mathematics (1)
- Other Environmental Sciences (1)
- Institution
- Publication
- Publication Type
Articles 1 - 4 of 4
Full-Text Articles in Dynamic Systems
Understanding Enso Through Mathematical Models, Maria I. Sanchez Muniz
Understanding Enso Through Mathematical Models, Maria I. Sanchez Muniz
Open Educational Resources
This assignment introduces students to conceptual models of the El Niño–Southern Oscillation (ENSO) and guides them through a structured investigation of their physical and mathematical foundations. Students analyze the recharge–oscillator and delayed–oscillator frameworks, explore how differential equations capture ocean–atmosphere interactions, and evaluate parameter-driven changes in oscillatory behavior. A key component of the work is the guided use of generative AI as a research tool: students employ AI models to locate peer-reviewed literature, interrogate model extensions, and refine their understanding of complex mechanisms, while synthesizing all final explanations in their own words. By blending classical climate modeling with modern AI-supported inquiry, …
Dynamics Of Gene Networks In Cancer Research, Paul Scott
Dynamics Of Gene Networks In Cancer Research, Paul Scott
College of Graduate Studies: Theses & Dissertations
Cancer prevention treatments are being researched to see if an optimized treatment schedule would decrease the likelihood of a person being diagnosed with cancer. To do this we are looking at genes involved in the cell cycle and how they interact with one another. Through each gene expression during the life of a normal cell we get an understanding of the gene interactions and test these against those of a cancerous cell. First we construct a simplified network model of the normal gene network. Once we have this model we translate it into a transition matrix and force changes on …
Mathematical Equations And System Identification Models For A Portable Pneumatic Bladder System Designed To Reduce Human Exposure To Whole Body Shock And Vibration, Ezzat Aziz Ayyad
UNLV Theses, Dissertations, Professional Papers, and Capstones
A mathematical representation is sought to model the behavior of a portable pneumatic foam bladder designed to mitigate the effects of human exposure to shock and whole body random vibration. Fluid Dynamics principles are used to derive the analytic differential equations used for the physical equations Model. Additionally, combination of Wiener and Hammerstein block oriented representation techniques have been selected to create system identification (SID) block oriented models. A number of algorithms have been iterated to obtain numerical solutions for the system of equations which was found to be coupled and non-linear, with no analytic closed form solution. The purpose …
Delay-Periodic Solutions And Their Stability Using Averaging In Delay-Differential Equations, With Applications, Thomas W. Carr, Richard Haberman, Thomas Erneux
Delay-Periodic Solutions And Their Stability Using Averaging In Delay-Differential Equations, With Applications, Thomas W. Carr, Richard Haberman, Thomas Erneux
Mathematics Research
Using the method of averaging we analyze periodic solutions to delay-differential equations, where the period is near to the value of the delay time (or a fraction thereof). The difference between the period and the delay time defines the small parameter used in the perturbation method. This allows us to consider problems with arbitrarily size delay times or of the delay term itself. We present a general theory and then apply the method to a specific model that has application in disease dynamics and lasers.