In their study for one route to chaos via a cascade of bifurcations involving homoclinic orbits, Alain Arnéodo, Pierre Coullet et Charles Tresser obtained a set of three ordinary differential equations with a rotation symmetry . The system
produces an attractor topologically equivalent to the Lorenz attractor for , , , .
Changing the parameters to , , , leads to an attractor topologically equivalent to a "Burke and Shaw attractor" (Fig. 2).
 A. Arnéodo, P. Coullet & C. Tresser, A new possible mechanism for the onset of turbulence, Physics Letters A, 81 (4), 197-201, 1981.