Faculty Scholarly Dissemination Grants
Periodicity and Chaos in Some Planar Discrete Dynamical Systems with Negative Feedback
Department
Mathematics Department
College
College of Liberal Arts and Sciences
Date Range
2012-2013
Disciplines
Physical Sciences and Mathematics
Abstract
Oscillatory dynamics occur in many real-life applications such as, for example, circadian rhythms in gene regulatory networks. One way to better understand such oscillatory dynamics is to study mathematical models involving discrete dynamical systems with negative feedback interconnections. In this talk, I will discuss the oscillatory behavior of solutions to a class of discrete dynamical systems in the plane with negative feedback. More specifically, I will give some general yet simple criteria to determine when solutions of such discrete dynamical systems show oscillatory stability in the form of periodicity and when they exhibit oscillatory instability in the form of chaos.
Conference Name
2012 AMS (American Mathematical Society) Fall Eastern Sectional Meeting
Conference Location
Rochester Institute of Technology, Rochester, NY
ScholarWorks Citation
Basu, Sukanya, "Periodicity and Chaos in Some Planar Discrete Dynamical Systems with Negative Feedback" (2013). Faculty Scholarly Dissemination Grants. 1265.
https://scholarworks.gvsu.edu/fsdg/1265
