Faculty Scholarly Dissemination Grants

Title

On the Connection between a Class of Discrete Dynamical Systems and Some Plane Algebraic Curves

Department

Mathematics

College

College of Liberal Arts and Sciences

Date Range

2011-2012

Abstract

We will analyze the global behavior of solutions to a class of nonlinear discrete dynamical systems with applications in the natural sciences. In particular, we will show that the global dynamics of these solutions are determined by certain plane algebraic curves.

Conference Name

American Mathematical Society (AMS) 2012 Spring Southeastern Section Meeting

Conference Location

Tampa, Florida

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