• Media type: E-Article
  • Title: Chaotic maps derived from trajectory data
  • Contributor: Boyarsky, Abraham; Góra, Paweł
  • imprint: AIP Publishing, 2002
  • Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science
  • Language: English
  • DOI: 10.1063/1.1445437
  • ISSN: 1054-1500; 1089-7682
  • Keywords: Applied Mathematics ; General Physics and Astronomy ; Mathematical Physics ; Statistical and Nonlinear Physics
  • Origination:
  • Footnote:
  • Description: <jats:p>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.</jats:p>