Analyzing chaotic behavior in a Belousov-Zhabotinskyi reaction by using a global vector field reconstruction

The Belousov-Zhabotinskyi reaction is governed by very complex chemical kin etics involving at least 20 species. Nevertheless, there are many results t hat suggest that such a reaction could be described by a 3D model. For inst ance, in the special case when the asymptotic behavior is close to a homocl inic orbit, a 3D normal-form model has been previously proposed. Rather tha n deriving such a model, which requiring prior knowledge about the dynamics , a 3D model is here obtained by using a global vector field reconstruction technique starting from the measured time dependence of [CeIV]. This recon structed model is hereafter validated by comparing the topological properti es of the associated attractor to the ones directly reconstructed from the time series by using derivative coordinates. Indeed, the template character izing the reconstructed model is compatible with the one extracted from the data. Nevertheless, it is found to be not compatible with the template ass ociated with the normal-form model, which does not generate trajectories cl ose enough to the experimental ones. Consequently, the topological properti es of the underlying dynamics are not well captured by the normal-form mode l.