title: Chaotic maps derived from trajectory data.
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.
authors.affiliation: Department of Mathematics and Statistics, Concordia University, 7141 Sherbrooke Street West, Montreal, Quebec H4B 1R6, Canada.
authors.forename: Abraham
authors.initials: A
authors.lastname: Boyarsky
authors.forename: Paweł
authors.initials: P
authors.lastname: Gora