TOPOLOGICAL CHARACTERIZATION AND GLOBAL VECTOR FIELD RECONSTRUCTION OF AN EXPERIMENTAL ELECTROCHEMICAL SYSTEM

Citation
C. Letellier et al., TOPOLOGICAL CHARACTERIZATION AND GLOBAL VECTOR FIELD RECONSTRUCTION OF AN EXPERIMENTAL ELECTROCHEMICAL SYSTEM, Journal of physical chemistry, 99(18), 1995, pp. 7016-7027
Citations number
48
Categorie Soggetti
Chemistry Physical
ISSN journal
00223654
Volume
99
Issue
18
Year of publication
1995
Pages
7016 - 7027
Database
ISI
SICI code
0022-3654(1995)99:18<7016:TCAGVF>2.0.ZU;2-C
Abstract
A complete study of a copper electrodissolution experiment is achieved , The asymptotic motion settles down on a strange chaotic attractor wh ich may be embedded in a 3D reconstructed space. In a 2D Poincare sect ion the attractor is found to be topologically equivalent to a 1D map, and its orbit spectrum is governed by the unimodal order. A set of eq uations which suitably model the experiment is extracted by a global v ector field reconstruction method. The attractor obtained by integrati ng the reconstructed system is topologically equivalent to the origina l attractor. It is shown that the reconstructed model represents the d ynamics without taking into account the effect of the dynamical noise on the experiment.