A SCALING LAW CHAOTIC SYSTEM

The paper defines the fractal SL derivative and the specific system used in “fractal SL attractor II” (a=2, b=3/10, c=27), and then states only a conjecture that the system has at least one fixed point; it provides no proof. Moreover, its rewrite (10/3) t^{2/3} dΞ/dt = X Ξ(t) with the displayed X is algebraically incorrect (it double-counts the nonlinear terms, yielding 2xy and −2xz where xy and −xz are required). By contrast, the model correctly sets the component right-hand sides to zero and solves the resulting algebraic system, obtaining the unique real equilibrium (0,0,0). Hence, the conjectured existence is trivially true and uniquely determined by straightforward algebra, which the paper omits. See the system definition and derivative scaling (equations (4)–(12) of the paper) , the attractor II equations (16)–(18) , and the (incorrect) matrix rewrite and conjecture near (19)–(22) and (21) ; the conjecture is also explicitly stated .