Published October 1, 1989 | Version v1
Journal article Metadata-only

Characterization of an experimental strange attractor by periodic orbits

Creators

  • 1. Center for Nonlinear Dynamics and Department of Physics, University of Texas, Austin, Texas 78712 (USA)
  • 2. Center for Nonlinear Dynamics and Department of Physics, University of Texas, Austin, Texas 78712
  • 3. Institute for Physical Science and Technology and Department of Mathematics, University of Maryland, College Park, Maryland 20742

Description

We describe a general procedure to locate periodic saddle orbits in a chaotic attractor reconstructed from experimental data. The method is applied to data from a Belousov-Zhabotinskii chemical reaction. The eigenvalues associated with the saddle orbits are used to estimate the Lyapunov exponents. An analysis of the next amplitude map determines the allowable periodic orbits and yields an estimate of the topological entropy

Additional details

Publishing Information

Journal Title
Physical Review, A
Journal Volume
40
Journal Issue
7
Series
Phys. Rev., A.
Journal Page Range
4028-4031
ISSN
0556-2791
CODEN
PLRAA

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
21015515
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CHEMICAL REACTION KINETICS; DATA PROCESSING; ENTROPY; LYAPUNOV METHOD; PHASE SPACE; SADDLE-POINT METHOD
Descriptors DEC
KINETICS; MATHEMATICAL SPACE; PHYSICAL PROPERTIES; REACTION KINETICS; SPACE; THERMODYNAMIC PROPERTIES