Computational Methods for Nonlinear Systems

Physics 7682 - Fall 2014

Instructor: Chris Myers

Mondays & Fridays 1:30-3:30, Rockefeller B3 (directions)

Period Doubling


We have five exercises on discrete maps. Before working on this one, you should first do the Logistic Map exercises.

In this exercise, we use scaling and renormalization--group methods to study the onset of chaos. There are several routes by which a dynamical system can start exhibiting chaotic motion: we study the period doubling cascade, first extensively investigated by Feigenbaum.

Learning Goals

Science: You will learn about Chaos, discrete maps, and fractal dimensions.

Computation: You will learn about iterative algorithms, and techniques to explore asymptotic behaviors.