Mentor/s
Professor Elliott Bertrand
Participation Type
Paper Talk
Abstract
Difference equations describe the evolution of a quantity or population whose changes are measured over discrete time intervals. In this paper, we will investigate these types of recursive relations and classify the local stability of their equilibrium points and periodic solutions. In particular, we will examine the dynamics of the logistic map and the long-term behavior that occurs when we modify its parameter.
College and Major available
Mathematics
Location
Panel J: Academic Building HC 111
Start Day/Time
4-24-2019 12:30 PM
End Day/Time
4-24-2019 1:45 AM
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 License.
Prize Categories
Most Creative
The Dynamics of the Logistic Map and Difference Equations
Panel J: Academic Building HC 111
Difference equations describe the evolution of a quantity or population whose changes are measured over discrete time intervals. In this paper, we will investigate these types of recursive relations and classify the local stability of their equilibrium points and periodic solutions. In particular, we will examine the dynamics of the logistic map and the long-term behavior that occurs when we modify its parameter.
Students' Information
Michael Bubolo, Mathematics.
2019 CAS Honor of Academic Distinction Finalist.