A multivariate polynomial ${\mathit{L}}_2$ approximation on nets is designed for global vector-field reconstructions of time continuous dynamical systems. The technique is tested by investigating standard forms of the Rössler band, the Lorenz mask, and a chaotic attractor produced by a simple model of thermal lens oscillations.

• Received 16 February 1993

DOI:https://doi.org/10.1103/PhysRevE.49.4955