First and Last Name/s of Presenters

Michael BuboloFollow

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

Students' Information

Michael Bubolo, Mathematics.

2019 CAS Honor of Academic Distinction Finalist.

Creative Commons License

Creative Commons Attribution-Noncommercial 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 4.0 License.

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Apr 24th, 12:30 PM Apr 24th, 1:45 AM

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.

 

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