First and Last Name/s of Presenters

Michael BuboloFollow

Participation Type

Paper Talk

Mentor/s

Professor Elliott Bertrand

College

College of Arts and Sciences

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

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.

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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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