S. Basu: The Role of Plane Algebraic Curves in Bifurcations of Certain Discrete Dynamical Systems

posted Mar 17, 2012, 3:45 AM by Tony Shaska
We analyze the global behavior of solutions to a class of nonlinear discrete dynamical systems with applications in the natural sciences. In particular, we show that the global dynamics of these solutions are determined by certain plane algebraic curves.