The simple three-dimensional model
for describing the oscillations in the concentration of Ce ions was proposed by Françoise Argoul (University of Bordeaux) and co-workers.  A numerical integration of this model (Fig. 1b) produces a chaotic attractor whose template contains the three branches which were identified in the experimental data.  This model also captures the main characteristics of the experimental dynamics. When the parameter mu is varied, there is a period-doubling cascade leading to chaos. A unimodal chaotic attractor is shown in Fig. 1a : its shape has some similarities with the attractor observed by Harry Swinney and his colleagues  and topologically characterized by Gabriel Mindlin and Robert Gilmore . The other parameter values are
Experimental data corresponding to homoclinic chaos in the Belousov-Zhabotinski reacction and collected by Françoise Argoul are available here.
 F. Argoul, A. Arnéodo & P. Richetti, Experimental evidence for homoclinic chaos in the Belousov-Zhabotinsky reaction, Physics Letters A, 120 (6), 269-275, 1987.
 C. Letellier, J. Maquet, H. Labro, L. Le Sceller, G. Gouesbet, F. Argoul & A. Arnéodo, Analyzing chaotic behaviour in a Belousov-Zhabotinskii reaction by using a global vector field reconstruction, Journal of Physical Chemistry A, 102, 10265-10273, 1998.
 J. S. Turner, J. C. Roux, W. D. McCormick & H. L. Swinney, Alternating periodic and chaotic regimes in a chemical reaction - Experiment and theory, Physics Letters A, 85, 9-12, 1981.
 G. B. Mindlin & R. Gilmore, Topological analysis and synthesis of chaotic time series, Physica D, 58, 229-242, 1992.