Centroidal trajectories and frames for chaotic dynamical systems

Boris Yamrom, Isaak A. Kunin, German A. Chernykh

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

The centroidal trajectories and frames for chaotic dynamical systems were presented. By discretization of time and space a new structure was added to the dynamical system. It allowed to describe the system without resorting to the concept of infinity thus reducing the gap between the pure mathematical dynamical systems and physical dynamical systems. The proposed algorithms reduced chaotic attractors to sets of cyclical orbits and the subsequent statistical analysis of these orbits revealed nobel system invariants.

Original languageEnglish
Pages (from-to)465-473
Number of pages9
JournalInternational Journal of Engineering Science
Volume41
Issue number3-5
DOIs
StatePublished - 1 Mar 2003

Scopus subject areas

  • Materials Science(all)
  • Engineering(all)
  • Mechanics of Materials
  • Mechanical Engineering

Keywords

  • Discrete chaos
  • Kolmogorov complexity
  • Lorenz system

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