Elegant Chaos: Algebraically Simple Chaotic Flows

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New class of chaotic systems with circular equilibrium (2015, background): “It is well known that chaotic dynamics is not restricted only to complicated and strongly nonlinear vector fields [1] but can be observed also in the case of algebraically simple systems with six terms including nonlinearity [2].”
Elementary quadratic chaotic flows with no equilibria (2013, methodology): “However, there are two examples of circulant systems (systems symmetric with respect to a cyclic rotation of the variables x, y, and z) [11] listed as NE16 and NE17 in Table 1.”
Simple chaotic flows with a line equilibrium (2013, background): “For each case that was found, the space of coefficients was searched for values that are deemed ‘‘elegant’’ [29], by which we mean that as many coefficients as possible are set to zero with the others set to ±1 if possible or otherwise to a small integer or decimal fraction with the fewest possible ”
Simple chaotic 3D flows with surfaces of equilibria (2016, methodology): “amplifiers [1] and integrated circuits have been introduced [46].”
Simple Chaotic flows with One Stable equilibrium (2013, methodology): “For each case that was found, the space of coefficients was searched for values that are deemed “elegant” [Sprott, 2010], by which we mean that as many coefficients as possible are set to zero with the others set to ±1 if possible or otherwise to a small integer or decimal fraction with the fewest p”