Periodicity and Chaos in Some Planar Discrete Dynamical Systems with Negative Feedback
College of Liberal Arts and Sciences
Physical Sciences and Mathematics
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.
2012 AMS (American Mathematical Society) Fall Eastern Sectional Meeting
Rochester Institute of Technology, Rochester, NY
Basu, Sukanya, "Periodicity and Chaos in Some Planar Discrete Dynamical Systems with Negative Feedback" (2013). Faculty Scholarly Dissemination Grants. 1265.