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
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.