Received 23 October 2012

Received in revised form 5 January 2013

Accepted 7 January 2013

Available online 16 January 2013

Communicated by C.R. Doering

Three methods are used to produce a catalog of
seventeen elementary three-dimensional chaotic flows with
quadratic nonlinearities that have the unusual feature of
lacking any equilibrium points. It is likely that most if not
all the elementary examples of such systems have now been
identified.

Ref: S. Jafari, J. C. Sprott, and S. M. R. H. Golpayegani, Phys. Lett. A

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Fig. 1. State space diagram of the cases in Table 1 projected onto the xy-plane

Fig. 2. The largest Lyapunov exponent and bifurcation diagram of NE