Thursday,
November 4, 12:00 p.m. PSA 311
Rodrigo Platte
School of Math&Stats
Exploring Logistic Maps with CHEBFUN
Abstract
CHEBFUN is a collection of algorithms, and a software system in
object-oriented MATLAB, which extends familiar powerful methods of
numerical computation involving numbers to continuous or
piecewise-continuous functions functions of a real variable. The
mathematical basis of the system combines tools of Chebyshev expansions,
fast Fourier transform, barycentric interpolation, recursive
zerofinding, spectral methods and automatic differentiation. Some of
the algorithms used in the system will be presented, including automatic
edge detection and function representation on unbounded domains. As an
example of nontrivial edge detection, we explore jump detection in
logistic map functions.
