1 Department of Mathematics and Statistics, Concordia University, 7141 Sherbrooke Street West, Montreal, Quebec H4B 1R6, Canada.

Chaotic maps derived from trajectory data.

Chaos. 2002 Mar;12(1):42-48

Authors: Boyarsky A, Gora P

Abstract

We assume that we have the following information from observed trajectory data about a discrete time dynamical process: (1) a rough graph of the phase plot, (2) the probability density function and (3) the metric entropy. We describe a method for constructing a nonlinear map whose graph is "within" the rough graph of the phase plot, and which has the observed probability density function and entropy.(c) 2002 American Institute of Physics.

PMID: 12779531 [PubMed - as supplied by publisher]