Christophe LETELLIER
13/10/2009

In his research for simple quadratic chaotic systems, Julian Clinton Sprott collected more than 20 systems [1]. Most of them produce Rössler-like chaotic attractors [2]. We choose — quite arbitrarily — to include the Sprott H system that is rewritten in the form

where *a*=0.5 and *b*=1. This system produces a chaotic attractor that is topologically equivalent to the Rössler attractor (Fig. 1).

**Fig. 1 : Chaotic attractor solution to the Sprott H system.**

The data here provided corresponds to a numerical simulation of the Sprott H system with a time step s. There are three columns that are associated with the time evolution of *x*, *y* and *z*, respectively.

The observability coefficients for the Sprott H system are , , , that is, variables can be ranked as

[1] J. C. Sprott, Some simple chaotic flows, *Physical Review E*, **50** (2), 647-650, 1994.

[2] J.-M. Ginoux & C. Letellier,
Flow curvature manifolds for shaping chaotic attractors : I Rössler-like systems,
*Journal of Physics A*, **42**, 285101, 2009.