Search Research Symposium Abstracts

Front propagation dynamics in chemotaxis models with logistic source

The current talk is concerned with the front propagation dynamics in chemotaxis models with a logistic source on the whole space. I will first discuss the global existence of positive classical solutions of such chemotaxis models, which is fundamental for the study of front propagation dynamics as well as many other dynamical features. Next, I will [Read More...]

Presenter: Wenxian Shen, Auburn University
Symposium Year: 2023
Session: Women in Dynamical Systems and Applications [Organized by Christina Athanasouli and Rachel Kuske]
Presentation Time: October 1, 2023; 2:00 pm

Data-Driven Mathematical Modeling of Sleep Consolidation in Early Childhood

Across early childhood development, sleep behavior transitions from a biphasic pattern (a daytime nap and nighttime sleep episode) to a monophasic pattern (only a nighttime sleep episode). The transition to consolidated nighttime sleep, occurring in most children between 2- and 5-years old, is a major developmental milestone and is believed to be the result [Read More...]

Presenter: Shelby R. Stowe, Colorado School of Mines
Authors: Christina Athanasouli, Shelby R. Stowe, Monique K. LeBourgeois, Victoria Booth, Cecilia Diniz Behn
Symposium Year: 2023
Session: Women in Dynamical Systems and Applications [Organized by Christina Athanasouli and Rachel Kuske]
Presentation Time: October 1, 2023; 2:25 pm

COMPUTER-ASSISTED ANALYSIS OF THE GLOBAL DYNAMICS OF A VIBRO-IMPACT PAIR

Vibro-impact dynamic pairs appear in multiple engineering applications including vibro-impact harvesters. Such devices can harvest energy from vibro-impact motion of a ball moving freely within a driven cylindrical capsule with two dielectric elastomer membranes that cover its both ends. When the membranes are impacted and deformed by the ball, the [Read More...]

Presenter: Lanjing Bao, Georgia State University
Authors: Lanjing Bao, Rachel Kuske, Daniil Yurchenko, and Igor Belykh
Symposium Year: 2023
Session: Women in Dynamical Systems and Applications [Organized by Christina Athanasouli and Rachel Kuske]
Presentation Time: October 1, 2023; 2:50 pm

Analysis of two types of non-smooth dynamics in an energy harvester

Vibro-impact (VI) systems are nonlinear systems that find applications in various engineering fields, including energy harvesting (EH). In this talk, we present a VI-EH system that involves an inclined cylindrical capsule, which is externally driven, and a ball that moves freely within the capsule. The ends of the capsule are covered with membranes made of [Read More...]

Presenter: Christina Athanasouli, Georgia Institute of Technology
Authors: Christina Athanasouli, Daniil Yurchenko, Rachel Kuske
Symposium Year: 2023
Session: Women in Dynamical Systems and Applications [Organized by Christina Athanasouli and Rachel Kuske]
Presentation Time: October 1, 2023; 3:15 pm